Giant anisotropic nonlinear optical response in transition metal monopnictide Weyl semimetals
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An optical second-harmonic generation study of a series of transition metal monopnictide Weyl semimetals reveals a giant, anisotropic nonlinear optical response in these systems. Although Weyl fermions have proven elusive in high-energy physics, their existence as emergent quasiparticles has been predicted in certain crystalline solids in which either inversion or time-reversal symmetry is broken1,2,3,4. Recently they have been observed in transition metal monopnictides (TMMPs) such as TaAs, a class of noncentrosymmetric materials that heretofore received only limited attention5,6,7. The question that arises now is whether these materials will exhibit novel, enhanced, or technologically applicable electronic properties. The TMMPs are polar metals, a rare subset of inversion-breaking crystals that would allow spontaneous polarization, were it not screened by conduction electrons8,9,10. Despite the absence of spontaneous polarization, polar metals can exhibit other signatures of inversion-symmetry breaking, most notably second-order nonlinear optical polarizability, χ(2), leading to phenomena such as optical rectification and second-harmonic generation (SHG). Here we report measurements of SHG that reveal a giant, anisotropic χ(2) in the TMMPs TaAs, TaP and NbAs. With the fundamental and second-harmonic fields oriented parallel to the polar axis, the value of χ(2) is larger by almost one order of magnitude than its value in the archetypal electro-optic materials GaAs11 and ZnTe12, and in fact larger than reported in any crystal to date.
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Cites
Berry phase effects on electronic properties
Xiao, D., Chang, M.-C., & Niu, Q. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1959 · Cited by 5,277 · see citing works
Nagaosa, N., Sinova, J., Onoda, S., MacDonald, A. H., & Ong, N. P. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1539 · Cited by 4,798 · see citing works
Wan, X., Turner, A. M., Vishwanath, A., & Savrasov, S. Y. (2011) · Physical Review B · doi:10.1103/physrevb.83.205101 · Cited by 4,718 · see citing works
Discovery of a Weyl fermion semimetal and topological Fermi arcs
Xu, S.-Y., Belopolski, I., Alidoust, N., Neupane, M., Bian, G., Zhang, C., Sankar, R., Chang, G., Yuan, Z., Lee, C.-C., et al. (2015) · Science · doi:10.1126/science.aaa9297 · Cited by 3,396 · see citing works
Experimental Discovery of Weyl Semimetal TaAs
Lv, B. Q., Weng, H. M., Fu, B. B., Wang, X. P., Miao, H., Ma, J., Richard, P., Huang, X. C., Zhao, L. X., Chen, G. F., et al. (2015) · Physical Review X · doi:10.1103/physrevx.5.031013 · Cited by 2,399 · see citing works
Weyl Semimetal in a Topological Insulator Multilayer
Burkov, A. A., & Balents, L. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.127205 · Cited by 2,289 · see citing works
Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
Weng, H., Fang, C., Fang, Z., Bernevig, A., & Dai, X. (2015) · arXiv · doi:10.48550/arxiv.1501.00060 · Cited by 1,937 · see citing works
Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides
Weng, H., Fang, C., Fang, Z., Bernevig, B. A., & Dai, X. (2015) · Physical Review X · doi:10.1103/physrevx.5.011029 · Cited by 1,889 · see citing works
Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott InsulatorPreprint
Wan, X., Turner, A. M., Vishwanath, A., et al. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1007.0016 · Cited by 1,845 · see citing works
A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class
Huang, S.-M., Xu, S.-Y., Belopolski, I., Lee, C.-C., Chang, G., Wang, B., Alidoust, N., Bian, G., Neupane, M., Zhang, C., et al. (2015) · Nature Communications · doi:10.1038/ncomms8373 · Cited by 1,576 · see citing works
The principles of nonlinear optics
Hanna, D. C. (1985) · Optics & Laser Technology · doi:10.1016/0030-3992(85)90011-8 · Cited by 1,408 · see citing works
Light Waves at the Boundary of Nonlinear Media
Bloembergen, N., & Pershan, P. S. (1962) · Physical Review · doi:10.1103/physrev.128.606 · Cited by 1,220 · see citing works
Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials
Sodemann, I., & Fu, L. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.216806 · Cited by 1,145 · see citing works
Weyl semimetal phase in the non-centrosymmetric compound TaAs
Yang, L. X., Liu, Z. K., Sun, Y., Peng, H., Yang, H. F., Zhang, T., Zhou, B., Zhang, Y., Guo, Y. F., Rahn, M., et al. (2015) · Nature Physics · doi:10.1038/nphys3425 · Cited by 941 · see citing works
Absolute scale of second-order nonlinear-optical coefficients
Shoji, I., Kondo, T., Kitamoto, A., Shirane, M., & Ito, R. (1997) · Journal of the Optical Society of America B · doi:10.1364/josab.14.002268 · Cited by 861 · see citing works
Huang, S.-M., Xu, S., Belopolski, I., Lee, C., Chang, G., Wang, B., Alidoust, N., Bian, G., Neupane, M., Bansil, A., et al. (2015) · arXiv (Cornell University) · doi:10.48550/arxiv.1501.00755 · Cited by 760 · see citing works
First Principles Calculation of the Shift Current Photovoltaic Effect in Ferroelectrics
Young, S. M., & Rappe, A. M. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.116601 · Cited by 630 · see citing works
Topological nature of nonlinear optical effects in solids
Morimoto, T., & Nagaosa, N. (2016) · Science Advances · doi:10.1126/sciadv.1501524 · Cited by 569 · see citing works
Self-citationPrinciples of Nonlinear Optics
Banerjee, P. P. (1989) · Cited by 564 · see citing works
Symmetry Considerations on Martensitic Transformations: "Ferroelectric" Metals?
Anderson, P. W., & Blount, E. I. (1965) · Physical Review Letters · doi:10.1103/physrevlett.14.217 · Cited by 543 · see citing works
A ferroelectric-like structural transition in a metal
Shi, Y., Guo, Y., Wang, X., Princep, A. J., Khalyavin, D. D., Manuel, P., Michiue, Y., Sato, A., Tsuda, K., Yu, S., et al. (2013) · Nature Materials · doi:10.1038/nmat3754 · Cited by 470 · see citing works
Charge Transport in Weyl Semimetals
Hosur, P., Parameswaran, S. A., & Vishwanath, A. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.046602 · Cited by 466 · see citing works
Optical properties of crystalline semiconductors and dielectrics
Forouhi, A. R., & Bloomer, I. (1988) · Physical review. B, Condensed matter · doi:10.1103/physrevb.38.1865 · Cited by 462 · see citing works
Polar metals by geometric design
Kim, T. H., Puggioni, D., Yuan, Y., Xie, L., Zhou, H., Campbell, N., Ryan, P. J., Choi, Y., Kim, J., Patzner, J. J., et al. (2016) · Nature · doi:10.1038/nature17628 · Cited by 339 · see citing works
Photocurrents in Weyl semimetals
Chan, C.-K., Lindner, N. H., Refael, G., & Lee, P. A. (2017) · Physical Review B · doi:10.1103/physrevb.95.041104 · Cited by 327 · see citing works
Confinement-Induced Berry Phase and Helicity-Dependent Photocurrents
Moore, J. E., & Orenstein, J. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.026805 · Cited by 248 · see citing works
Self-citationRefractive Index of ZnS, ZnSe, and ZnTe and Its Wavelength and Temperature Derivatives
Li, H. H. (1984) · Journal of Physical and Chemical Reference Data · doi:10.1063/1.555705 · Cited by 213 · see citing works
Optical Harmonic Generation in Single Crystal BaTi O3
Miller, R. C. (1964) · Physical Review · doi:10.1103/physrev.134.a1313 · Cited by 199 · see citing works
Optical spectroscopy of the Weyl semimetal TaAs
Xu, B., Dai, Y. M., Zhao, L. X., Wang, K., Yang, R., Zhang, W., Liu, J. Y., Xiao, H., Chen, G. F., Taylor, A. J., et al. (2016) · Physical Review B · doi:10.1103/physrevb.93.121110 · Cited by 177 · see citing works
Second-Harmonic Generation in GaAs: Experiment versus Theoretical Predictions of χxyz(2)
Bergfeld, S., & Daum, W. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.036801 · Cited by 162 · see citing works
Dispersion of the second-order nonlinear susceptibility in ZnTe, ZnSe, and ZnS
Wagner, H. P., Kühnelt, M., Langbein, W., & Hvam, J. M. (1998) · Physical review. B, Condensed matter · doi:10.1103/physrevb.58.10494 · Cited by 141 · see citing works
Ishizuka, H., Hayata, T., Ueda, M., & Nagaosa, N. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.216601 · Cited by 76 · see citing works
Berry phase mechanism for optical gyrotropy in stripe-ordered cuprates
Orenstein, J., & Moore, J. E. (2013) · Physical Review B · doi:10.1103/physrevb.87.165110 · Cited by 66 · see citing works
Self-citationOptical Gyrotropy from Axion Electrodynamics in Momentum Space
Zhong, S., Orenstein, J., & Moore, J. E. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.117403 · Cited by 64 · see citing works
Self-citationJu, S., Cai, T., & Guo, G. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3146796 · Cited by 49 · see citing works
Large nonlinear optical coefficients in pseudo-tetragonal BiFeO3 thin films
Haislmaier, R. C., Podraza, N. J., Denev, S., Melville, A. J., Schlom, D. G., & Gopalan, V. (2013) · Applied Physics Letters · doi:10.1063/1.4812978 · Cited by 37 · see citing works
Symmetry Considerations on Martensitic Transformations: "Ferroelectric" Metals?
Anderson, P. W., & Blount, E. I. (1965) · Physical Review Letters · doi:10.1103/physrevlett.14.532 · Cited by 28 · see citing works
Absolute Scale of the Second-Order Nonlinear Optical Coefficients
Shoji, I., Kitamoto, A., Shirane, M., Kondo, T., & Ito, R. (1996) · Nonlinear Optics · doi:10.1364/nlo.1996.nme.29 · Cited by 22 · see citing works
Optical spectroscopy of the Weyl semimetal TaAs
Dai, Y., UC Office of the President, Taylor, A. J., Yarotski, D., Prasankumar, R. P., Xu, B., Zhao, L., Yang, R., Yang, R., Zhang, W., et al. (2016) · doi:10.2172/1244313 · Cited by 14 · see citing works
Flagged first, then by citations
Research works printed but not linked: 3
- [3]3. Weng, H., Fang, C., Fang, Z., Bernevig, B. A. & Dai, X. Weyl semimetal phase in noncentrosymmetric transitionmetal monophosphides. Phys. Rev. X 5, 011029 (2015).
- [24]24. Miller, R. C. Optical harmonic generation in single crystal BaTiO 3 . Phys. Rev. 134, A1313 (1964).
- [33]33. Bloembergen, N. & Pershan, P. Light waves at the boundary of nonlinear media. Phys. Rev. 128, 606 (1962).
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Weyl and Dirac semimetals in three-dimensional solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015001 · Cited by 4,528 · see citing works
“And we have noted above the WSM systems TaAs, TaP and NbAs have the largest ever recorded SHG χ(2) coefficient (Wu et al., 2017).”
BackgroundTowards properties on demand in quantum materials
Basov, D. N., Averitt, R. D., & Hsieh, D. (2017) · Nature Materials · doi:10.1038/nmat5017 · Cited by 906 · see citing works
Nonlinear Optics with 2D Layered Materials
Autere, A., Jussila, H., Dai, Y., Wang, Y., Lipsanen, H. K., & Sun, Z. (2018) · Advanced Materials · doi:10.1002/adma.201705963 · Cited by 843 · see citing works
Nonreciprocal responses from non-centrosymmetric quantum materials
Tokura, Y., & Nagaosa, N. (2018) · Nature Communications · doi:10.1038/s41467-018-05759-4 · Cited by 676 · see citing works
Experimental perspective on three-dimensional topological semimetals
Lv, B., Qian, T., & Ding, H. Q. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.025002 · Cited by 613 · see citing works
An ultrafast symmetry switch in a Weyl semimetal
Sie, E. J., Nyby, C. M., Pemmaraju, C. D., Park, S., Shen, X., Yang, J., Hoffmann, M. C., Ofori-Okai, B. K., Li, R., Reid, A. H., et al. (2018) · Nature · doi:10.1038/s41586-018-0809-4 · Cited by 488 · see citing works
Direct optical detection of Weyl fermion chirality in a topological semimetal
Ma, Q., Xu, S.-Y., Chan, C.-K., Zhang, C.-L., Chang, G., Lin, Y., Xie, W., Palacios, T., Lin, H., Jia, S., et al. (2017) · Nature Physics · doi:10.1038/nphys4146 · Cited by 418 · see citing works
Colossal mid-infrared bulk photovoltaic effect in a type-I Weyl semimetal
Osterhoudt, G. B., Diebel, L. K., Gray, M. J., Yang, X., Stanco, J., Huang, X., Shen, B., Ni, N., Moll, P. J. W., Ran, Y., et al. (2019) · Nature Materials · doi:10.1038/s41563-019-0297-4 · Cited by 399 · see citing works
Photocurrents in Weyl semimetals
Chan, C.-K., Lindner, N. H., Refael, G., & Lee, P. A. (2017) · Physical Review B · doi:10.1103/physrevb.95.041104 · Cited by 327 · see citing works
How To Maximize Birefringence and Nonlinearity of π-Conjugated Cyanurates
Lu, J., Lian, Y., Xiong, L., Wu, Q., Zhao, M., Shi, K.-X., Chen, L., & Wu, L. (2019) · Journal of the American Chemical Society · doi:10.1021/jacs.9b08851 · Cited by 328 · see citing works
Self-citationNonlinear photoresponse of type-II Weyl semimetals
Ma, J., Gu, Q., Liu, Y., Lai, J., Yu, P., Zhuo, X., Liu, Z., Chen, J.-H., Feng, J., & Sun, D. (2019) · Nature Materials · doi:10.1038/s41563-019-0296-5 · Cited by 327 · see citing works
Gate-tunable third-order nonlinear optical response of massless Dirac fermions in graphene
Jiang, T., Huang, D., Cheng, J., Fan, X., Zhang, Z., Shan, Y., Yi, Y., Dai, Y., Shi, L., Liu, K., et al. (2018) · Nature Photonics · doi:10.1038/s41566-018-0175-7 · Cited by 308 · see citing works
Light-induced emergent phenomena in 2D materials and topological materials
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Ahn, J., Guo, G.-Y., & Nagaosa, N. (2020) · Physical Review X · doi:10.1103/physrevx.10.041041 · Cited by 272 · see citing works
Lu, J., Liu, X., Zhao, M., Deng, X., Shi, K., Wu, Q., Chen, L., & Wu, L. (2021) · Journal of the American Chemical Society · doi:10.1021/jacs.1c00959 · Cited by 272 · see citing works
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Transport of Topological Semimetals
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Harada, J. K., Charles, N., Poeppelmeier, K. R., & Rondinelli, J. M. (2019) · Advanced Materials · doi:10.1002/adma.201805295 · Cited by 242 · see citing works
Berry curvature dipole in Weyl semimetal materials: An ab initio study
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Zhao, S., Yang, X., Yang, Y. J., Kuang, X., Lu, F., Shan, P., Sun, Z., Lin, Z., Hong, M., & Luo, J. (2018) · Journal of the American Chemical Society · doi:10.1021/jacs.7b12518 · Cited by 239 · see citing works
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Parker, D. E., Morimoto, T., Orenstein, J., & Moore, J. E. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.99.045121 · Cited by 224 · see citing works
Self-citationAn Unprecedented Antimony(III) Borate with Strong Linear and Nonlinear Optical Responses
Liu, Y., Liu, X., Liu, S., Ding, Q., Li, Y., Li, L., Zhao, S., Lin, Z., Luo, J., & Hong, M. (2020) · Angewandte Chemie International Edition · doi:10.1002/anie.202001042 · Cited by 225 · see citing works
High-frequency rectification via chiral Bloch electrons
Isobe, H., Xu, S., & Fu, L. (2020) · Science Advances · doi:10.1126/sciadv.aay2497 · Cited by 218 · see citing works
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Hasan, M. Z., Chang, G., Belopolski, I., Bian, G., Xu, S., & Yin, J. (2021) · Nature Reviews Materials · doi:10.1038/s41578-021-00301-3 · Cited by 216 · see citing works
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Kumar, N., Guin, S. N., Manna, K., Shekhar, C., & Felser, C. (2020) · Chemical Reviews · doi:10.1021/acs.chemrev.0c00732 · Cited by 205 · see citing works
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Zhang, Y., Holder, T., Ishizuka, H., de Juan, F., Nagaosa, N., Felser, C., & Yan, B. (2019) · Nature Communications · doi:10.1038/s41467-019-11832-3 · Cited by 197 · see citing works
Shen, Y., Zhao, S., & Luo, J. (2018) · Coordination Chemistry Reviews · doi:10.1016/j.ccr.2018.03.012 · Cited by 195 · see citing works
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Ma, Q., Grushin, A. G., & Burch, K. S. (2021) · Nature Materials · doi:10.1038/s41563-021-00992-7 · Cited by 195 · see citing works
Morimoto, T., Zhong, S., Orenstein, J., & Moore, J. E. (2016) · Physical Review B · doi:10.1103/physrevb.94.245121 · Cited by 192 · see citing works
Self-citationThe topology of electronic band structures
Narang, P., Garcia, C. A. C., & Felser, C. (2020) · Nature Materials · doi:10.1038/s41563-020-00820-4 · Cited by 193 · see citing works
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Okamura, Y., Minami, S., Kato, Y., Fujishiro, Y., Kaneko, Y., Ikeda, J., Muramoto, J., Kaneko, R., Ueda, K., Kocsis, V., et al. (2020) · Nature Communications · doi:10.1038/s41467-020-18470-0 · Cited by 186 · see citing works
Light control with Weyl semimetals
Guo, C., Asadchy, V., Zhao, B., & Fan, S. (2023) · eLight · doi:10.1186/s43593-022-00036-w · Cited by 177 · see citing works
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Ni, Z., Wang, K., Zhang, Y., Pozo, O., Xu, B., Han, X., Manna, K., Paglione, J., Felser, C., Grushin, A. G., et al. (2021) · Nature Communications · doi:10.1038/s41467-020-20408-5 · Cited by 170 · see citing works
Self-citationTransport, magnetic and optical properties of Weyl materials
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Self-citationHigh-frequency rectification via chiral Bloch electrons
Isobe, H., Xu, S., & Fu, L. (2019) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 177 · see citing works
Recent progress in the theory of bulk photovoltaic effect
Dai, Z., & Rappe, A. M. (2023) · Chemical Physics Reviews · doi:10.1063/5.0101513 · Cited by 162 · see citing works
Tsurimaki, Y., Qian, X., Pajovic, S., Han, F., Li, M., & Chen, G. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.101.165426 · Cited by 162 · see citing works
Chiral Photocurrent in Parity-Violating Magnet and Enhanced Response in Topological Antiferromagnet
Watanabe, H., & Yanase, Y. (2021) · Physical Review X · doi:10.1103/physrevx.11.011001 · Cited by 178 · see citing works
Holder, T., Kaplan, D., & Yan, B. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.033100 · Cited by 157 · see citing works
Chiral terahertz wave emission from the Weyl semimetal TaAs
Gao, Y., Kaushik, S., Philip, E. J., Li, Z., Qin, Y., Liu, Y. P., Zhang, W. L., Su, Y. L., Chen, X., Weng, H., et al. (2020) · Nature Communications · doi:10.1038/s41467-020-14463-1 · Cited by 164 · see citing works
Spatially dispersive circular photogalvanic effect in a Weyl semimetal
Ji, Z., Liu, G., Addison, Z., Liu, W., Yu, P., Gao, H., Liu, Z., Rappe, A. M., Kane, C. L., Melé, E. J., et al. (2019) · Nature Materials · doi:10.1038/s41563-019-0421-5 · Cited by 152 · see citing works
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Huang, W., Zhang, X., Li, Y., Zhou, Y., Chen, X., Li, X., Wu, F., Hong, M., Luo, J., & Zhao, S. (2022) · Angewandte Chemie International Edition · doi:10.1002/anie.202202746 · Cited by 151 · see citing works
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Self-citationA parity-breaking electronic nematic phase transition in the spin-orbit coupled metal Cd 2 Re 2 O 7
Harter, J., Zhao, Z., Yan, J., Mandrus, D. G., & Hsieh, D. (2017) · Science · doi:10.1126/science.aad1188 · Cited by 139 · see citing works
Lu, X., Chen, Z., Shi, X., Jing, Q., & Lee, M. (2020) · Angewandte Chemie International Edition · doi:10.1002/anie.202007494 · Cited by 137 · see citing works
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Matsuda, T., Kanda, N., Higo, T., Armitage, N. P., Nakatsuji, S., & Matsunaga, R. (2020) · Nature Communications · doi:10.1038/s41467-020-14690-6 · Cited by 131 · see citing works
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Gao, Y., Kaushik, S., Philip, E. J., Li, Z., Qin, Y., Liu, Y. P., Zhang, W. L., Su, Y. L., Chen, X., Weng, H., et al. (n.d.) · RePEc: Research Papers in Economics · Cited by 130 · see citing works
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Xiao, J., & Yan, B. (2021) · Nature Reviews Physics · doi:10.1038/s42254-021-00292-8 · Cited by 131 · see citing works
Chiral Photocurrent in Parity-Violating Magnet and Enhanced Response in Topological Antiferromagnet
Watanabe, H., & Yanase, Y. (2021) · Institutional Repositories DataBase (IRDB) · Cited by 128 · see citing works
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Dzsaber, S., Yan, X., Taupin, M., Eguchi, G., Prokofiev, A., Shiroka, T., Blaha, P., Rubel, O., Grefe, S. E., Lai, H.-H., et al. (2021) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2013386118 · Cited by 127 · see citing works
Observation of a ferro-rotational order coupled with second-order nonlinear optical fields
Jin, W., Drueke, E., Li, S., Admasu, A. S., Owen, R., Day, M. W., Sun, K., Cheong, S., & Zhao, L. (2019) · Nature Physics · doi:10.1038/s41567-019-0695-1 · Cited by 126 · see citing works
High-harmonic generation in Weyl semimetal β-WP2 crystals
Lv, Y., Xu, J., Han, S., Zhang, C., Han, Y., Zhou, J., Yao, S., Liu, X., Lu, M., Weng, H., et al. (2021) · Nature Communications · doi:10.1038/s41467-021-26766-y · Cited by 126 · see citing works
Towards compact phase-matched and waveguided nonlinear optics in atomically layered semiconductors
Xu, X., Trovatello, C., Mooshammer, F., Shao, Y., Zhang, S., Yao, K., Basov, D. N., Cerullo, G., & Schuck, P. J. (2022) · Nature Photonics · doi:10.1038/s41566-022-01053-4 · Cited by 124 · see citing works
Theory of nonlinear Hall effects: Modified semiclassics from quantum kinetics
Xiao, C., Du, Z. Z., & Niu, Q. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.165422 · Cited by 119 · see citing works
Photogalvanic effect in Weyl semimetals from first principles
Zhang, Y., Ishizuka, H., van den Brink, J., Felser, C., Yan, B., & Nagaosa, N. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.241118 · Cited by 116 · see citing works
Resonance-enhanced optical nonlinearity in the Weyl semimetal TaAs
Patankar, S., Wu, L., Lu, B., Rai, M., Tran, J. D., Morimoto, T., Parker, D. E., Grushin, A. G., Nair, N. L., Analytis, J. G., et al. (2018) · Physical Review B · doi:10.1103/physrevb.98.165113 · Cited by 116 · see citing works
Self-citationTracking Ultrafast Photocurrents in the Weyl Semimetal TaAs Using THz Emission Spectroscopy
Sirica, N., Tobey, R. I., Zhao, L. X., Chen, G. F., Xu, B., Yang, R., Shen, B., Yarotski, D. A., Bowlan, P., Trugman, S. A., et al. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.197401 · Cited by 115 · see citing works
2D GeP as a Novel Broadband Nonlinear Optical Material for Ultrafast Photonics
Guo, J., Huang, D., Zhang, Y., Yao, H., Wang, Y., Zhang, F., Wang, R., Ge, Y., Song, Y., Guo, Z., et al. (2019) · Laser & Photonics Review · doi:10.1002/lpor.201900123 · Cited by 112 · see citing works
Ferroicity-driven nonlinear photocurrent switching in time-reversal invariant ferroic materials
Wang, H., & Qian, X. (2019) · Science Advances · doi:10.1126/sciadv.aav9743 · Cited by 112 · see citing works
First-principles calculation of nonlinear optical responses by Wannier interpolation
Wang, C., Liu, X., Kang, L., Gu, B.-L., Xu, Y., & Duan, W. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.115147 · Cited by 108 · see citing works
Qi, L., Chen, Z., Shi, X., Zhang, X., Jing, Q., Li, N., Jiang, Z., Zhang, B., & Lee, M. (2020) · Chemistry of Materials · doi:10.1021/acs.chemmater.0c03383 · Cited by 108 · see citing works
Recent Development of Non-π-Conjugated Deep Ultraviolet Nonlinear Optical Materials
Huang, W., Zhao, S., & Luo, J. (2021) · Chemistry of Materials · doi:10.1021/acs.chemmater.1c02554 · Cited by 106 · see citing works
Second Harmonic Generation Control in 2D Layered Materials: Status and Outlook
Huang, W., Xiao, Y., Xia, F., Chen, X., & Zhai, T. (2024) · Advanced Functional Materials · doi:10.1002/adfm.202310726 · Cited by 105 · see citing works
Photogalvanic effect in Weyl semimetals
König, E. J., Xie, H.-Y., Pesin, D. A., & Levchenko, A. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.075123 · Cited by 99 · see citing works
Doping-Induced Second-Harmonic Generation in Centrosymmetric Graphene from Quadrupole Response
Zhang, Y., Huang, D., Shan, Y., Jiang, T., Zhang, Z., Liu, K., Shi, L., Cheng, J., Sipe, J. E., Liu, W.-T., et al. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.047401 · Cited by 101 · see citing works
A Hybrid Antiperovskite with Strong Linear and Second‐Order Nonlinear Optical Responses
Li, M., Zhang, X., Xiong, Z., Li, Y., Zhou, Y., Chen, X., Song, Y., Hong, M., Luo, J., & Zhao, S. (2022) · Angewandte Chemie International Edition · doi:10.1002/anie.202211151 · Cited by 97 · see citing works
Second harmonic generation spectroscopy on two-dimensional materials [Invited]
Wang, Y., Xiao, J., Yang, S., Wang, Y., & Zhang, X. (2019) · Optical Materials Express · doi:10.1364/ome.9.001136 · Cited by 96 · see citing works
Observation of Quasi-Two-Dimensional Polar Domains and Ferroelastic Switching in a Metal, Ca3Ru2O7
Lei, S., Gu, M., Puggioni, D., Stone, G., Peng, J., Ge, J., Wang, Y., Wang, B., Yuan, Y., Wang, K., et al. (2018) · Nano Letters · doi:10.1021/acs.nanolett.8b00633 · Cited by 93 · see citing works
Gyrotropic Hall effect in Berry-curved materials
König, E. J., Dzero, M., Levchenko, A., & Pesin, D. A. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.99.155404 · Cited by 93 · see citing works
Creating Weyl nodes and controlling their energy by magnetization rotation
Ghimire, M. P., Facio, J. I., You, J.-S., Ye, L., Checkelsky, J. G., Fang, S., Kaxiras, E., Richter, M., & van den Brink, J. (2019) · Physical Review Research · doi:10.1103/physrevresearch.1.032044 · Cited by 93 · see citing works
Direct observation of shift and ballistic photovoltaic currents
Burger, A. M., Agarwal, R., Aprelev, A. M., Schruba, E., Gutierrez-Perez, A. D., Fridkin, V. M., & Spanier, J. E. (2019) · Science Advances · doi:10.1126/sciadv.aau5588 · Cited by 92 · see citing works
Difference frequency generation in topological semimetals
de Juan, F., Zhang, Y., Morimoto, T., Sun, Y., Moore, J. E., & Grushin, A. G. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.012017 · Cited by 91 · see citing works
Self-citationObservation of Weyl fermions in a magnetic non-centrosymmetric crystal
Sanchez, D. S., Chang, G., Belopolski, I., Lu, H., Yin, J.-X., Alidoust, N., Xu, X., Cochran, T. A., Zhang, X., Bian, Y., et al. (2020) · Nature Communications · doi:10.1038/s41467-020-16879-1 · Cited by 90 · see citing works
Aggregation‐induced emission materials for nonlinear optics
Han, X., Ge, F., Xu, J., & Bu, X. (2021) · Aggregate · doi:10.1002/agt2.28 · Cited by 86 · see citing works
Linear and nonlinear optical responses in the chiral multifold semimetal RhSi
Ni, Z., Xu, B., Sánchez-Martínez, M.-Á., Zhang, Y., Manna, K., Bernhard, C., Venderbos, J. W. F., de Juan, F., Felser, C., Grushin, A. G., et al. (2020) · npj Quantum Materials · doi:10.1038/s41535-020-00298-y · Cited by 78 · see citing works
Self-citationAhmed, S., Jiang, X., Wang, C., Kalsoom, U. E., Wang, B., Khan, J., Muhammad, Y., Duan, Y., Zhu, H., Ren, X., et al. (2021) · Advanced Optical Materials · doi:10.1002/adom.202001671 · Cited by 79 · see citing works
Post-2000 nonlinear optical materials and measurements: data tables and best practices
Vermeulen, N., Espinosa, D. H. G., Ball, A. R., Ballato, J. M., Boucaud, P., Boudebs, G., Campos, C. L. A. V., Dragic, P. D., Gomes, A. S. L., Huttunen, M. J., et al. (2022) · Journal of Physics Photonics · doi:10.1088/2515-7647/ac9e2f · Cited by 77 · see citing works
Nonlinear anomalous photocurrents in Weyl semimetals
Rostami, H., & Polini, M. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.195151 · Cited by 73 · see citing works
Double Sb‐N Coordination Enables Record‐High Birefringence in UV‐Transparent Crystals
Zhang, P., Dong, X., Huang, L., Lin, Z., Zhou, Y., & Zou, G. (2025) · Angewandte Chemie International Edition · doi:10.1002/anie.202424756 · Cited by 75 · see citing works
Mixed topological semimetals driven by orbital complexity in two-dimensional ferromagnets
Niu, C., Hanke, J.-P., Buhl, P. M., Zhang, H., Pluciński, Ł., Wortmann, D., Blügel, S., Bihlmayer, G., & Mokrousov, Y. (2019) · Nature Communications · doi:10.1038/s41467-019-10930-6 · Cited by 73 · see citing works
Multifold nodal points in magnetic materials
Cano, J., Bradlyn, B., & Vergniory, M. G. (2019) · APL Materials · doi:10.1063/1.5124314 · Cited by 71 · see citing works
A Deep‐UV Nonlinear Optical Borosulfate with Incommensurate Modulations
Li, Y., Zhou, Z., Zhao, S., Liang, F., Ding, Q., Sun, J., Lin, Z., Hong, M., & Luo, J. (2021) · Angewandte Chemie International Edition · doi:10.1002/anie.202102107 · Cited by 73 · see citing works
Zograf, G., Polyakov, A. Y., Bancerek, M., Antosiewicz, T. J., Küçüköz, B., & Shegai, T. O. (2024) · Nature Photonics · doi:10.1038/s41566-024-01444-9 · Cited by 76 · see citing works
Polar and phase domain walls with conducting interfacial states in a Weyl semimetal MoTe2
Huang, F.-T., Lim, S. J., Singh, S., Kim, J., Zhang, L., Kim, J.-W., Chu, M., Rabe, K. M., Vanderbilt, D. H., & Cheong, S.-W. (2019) · Nature Communications · doi:10.1038/s41467-019-11949-5 · Cited by 72 · see citing works
Giant photogalvanic effect and second-harmonic generation in magnetic axion insulators
Fei, R., Song, W., & Yang, L. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.102.035440 · Cited by 70 · see citing works
Topological Insulator Metamaterials
Krishnamoorthy, H. N. S., Dubrovkin, A. M., Adamo, G., & Soci, C. (2023) · Chemical Reviews · doi:10.1021/acs.chemrev.2c00594 · Cited by 68 · see citing works
Giant optical activity and Kerr effect in type-I and type-II Weyl semimetals
Sonowal, K., Singh, A. K., & Agarwal, A. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.085436 · Cited by 68 · see citing works
Difference frequency generation in topological semimetals
Zhang, Y. (2020) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 75 · see citing works
Optical signatures of multifold fermions in the chiral topological semimetal CoSi
Xu, B., Fang, Z., Sánchez-Martínez, M.-Á., Venderbos, J. W. F., Ni, Z., Qiu, T., Manna, K., Wang, K., Paglione, J., Bernhard, C., et al. (2020) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2010752117 · Cited by 67 · see citing works
Self-citationYao, K., Yanev, E., Chuang, H., Rosenberger, M. R., Xu, X., Darlington, T. P., McCreary, K. M., Hanbicki, A. T., Watanabe, K., Taniguchi, T., et al. (2019) · ACS Nano · doi:10.1021/acsnano.9b07555 · Cited by 66 · see citing works
Polar and phase domain walls with conducting interfacial states in a Weyl semimetal MoTe2
Huang, F., Lim, S. J., Singh, S., Kim, J., Zhang, L., Kim, J., Chu, M., Rabe, K. M., Vanderbilt, D. H., & Cheong, S. (2019) · RePEc: Research Papers in Economics · Cited by 65 · see citing works
Chaudhary, S., Lewandowski, C., & Refael, G. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.013164 · Cited by 63 · see citing works
Nonlinear nonlocal metasurfaces
Kołkowski, R., Hakala, T. K., Shevchenko, A., & Huttunen, M. J. (2023) · Applied Physics Letters · doi:10.1063/5.0140483 · Cited by 62 · see citing works
Layered Metal‐Halide Perovskite Single‐Crystalline Microwire Arrays for Anisotropic Nonlinear Optics
Zhao, J., Zhao, Y., Guo, Y., Zhan, X., Feng, J., Geng, Y., Yuan, M., Fan, X. H., Gao, H., Jiang, L., et al. (2021) · Advanced Functional Materials · doi:10.1002/adfm.202105855 · Cited by 62 · see citing works
Colossal switchable photocurrents in topological Janus transition metal dichalcogenides
Xu, H., Wang, H., Zhou, J., Guo, Y., Kong, J., & Li, J. (2021) · npj Computational Materials · doi:10.1038/s41524-021-00499-4 · Cited by 61 · see citing works
Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review
Zheng, H., & Hasan, M. Z. (2018) · Advances in Physics X · doi:10.1080/23746149.2018.1466661 · Cited by 60 · see citing works
Lu, Q., Jiang, X., Duanmu, K., Wu, C., Lin, Z., Huang, Z., Humphrey, M. G., & Chi Zhang, A. (2023) · Angewandte Chemie International Edition · doi:10.1002/anie.202309365 · Cited by 59 · see citing works
Current jetting distorted planar Hall effect in a Weyl semimetal with ultrahigh mobility
Yang, J., Zhen, W. L., Liang, D. D., Wang, Y. J., Yan, X., Weng, S. R., Wang, J. R., Tong, W., Pi, L., Zhu, W., et al. (2019) · Physical Review Materials · doi:10.1103/physrevmaterials.3.014201 · Cited by 59 · see citing works
- Authors
- Wu, L., Patankar, S., Morimoto, T., Nair, N. L., Thewalt, E., Little, A., Analytis, J. G., Moore, J. E., & Orenstein, J.
- Affiliations
- Lawrence Berkeley National Laboratory (US)
- University of California, Berkeley (US)
- Corresponding author
- Wu, Liang
- Orenstein, J.
- Venue
- Nature Physics
- Published
- 2016-12-05
- Volume
- 13
- Issue
- 4
- Pages
- 350-355
- ISSN
- 1745-2473 (ISSN-L)
- 1745-2481
- OpenAlex
- W2523595512
- Semantic Scholar
- 692342f1edacc330ec091fe65eec3074f1d70e8b
- Cited by
- 468
- References
- 38
- Citations by year
- 2026: 38 · 2025: 50 · 2024: 43 · 2023: 72 · 2022: 60 · 2021: 66 · 2020: 48 · 2019: 48 · 2018: 28 · 2017: 13 · 2016: 1
- FWCI
- 14.18
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Nature Physics (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- eScholarship (California Digital Library) (submittedVersion)
- arXiv (Cornell University)
- Bulletin of the American Physical Society
- Funders
- U.S. Department of Energy (-AC02-05CH11231, Contract No. DE-AC02-05-CH11231, 05CH11231, No. DE-AC02-05-CH11231, DE AC02 05CH11231, DE-AC02-)
- Simons Foundation
- Gordon and Betty Moore Foundation (GBMF4374, GBMF4307, GBMF4537)
- Office of Science (No. DE-AC02- 05-CH11231, DEAC02–05CH11231, AC02-05CH11231, DE-AC02, Contract No. DE-AC02-05CH11231)
- Office of Naval Research (DE-AC02-05CH11231, N00014)
- Basic Energy Sciences (DE-AC02, Contract No. DE-AC02-05-CH11231, DE-AC02-05CH11231., No. DE-AC02-05-CH11231, AC02–05CH11231)
- Lawrence Berkeley National Laboratory (AC02‐05CH11231, DE-AC02-05CH11231, No. DE-AC02-05CH11231, Contract No. DE-AC02-05CH11231, 05CH11231)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Materials Science › Materials Chemistry › 2D Materials and Applications
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Crystal Structures and Properties
- Keywords
- Weyl semimetals, second harmonic generation, second-order nonlinear susceptibility, polar metals, inversion symmetry breaking, thoracic aortic aneurysm, TAP, NBAS, Weyl fermions, noncentrosymmetric materials
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