Circular photogalvanic effect on topological insulator surfaces: Berry-curvature-dependent response
Open accessAbstract
We study theoretically the optical response of the surface states of a topological insulator, especially the generation of helicity-dependent direct current by circularly polarized light. Interestingly, the dominant current, due to an interband transition, is controlled by the Berry curvature of the surface bands. This extends the connection between photocurrents and Berry curvature beyond the quasiclassical approximation, where it has been shown to hold. Explicit expressions are derived for the (111) surface of the topological insulator Bi${}_{2}$Se${}_{3}$, where we find significant helicity-dependent photocurrents when the rotational symmetry of the surface is broken by an in-plane magnetic field or a strain. Moreover, the dominant current grows linearly with time until a scattering occurs, which provides a means for determining the scattering time. The dc spin generated on the surface is also dominated by a linear-in-time, Berry curvature-dependent contribution.
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Nonlinear optical effects such as high harmonic generation, photovoltaic effects, shift currents, and nonlinear Kerr rotations are related to the Berry connection and Berry curvature.
“Generally these effects such as high harmonic generation, photovoltaic effects, shift (dc) currents, and nonlinear Kerr rotations, are related to the Berry connection and Berry curvature (Hosur, 2011; Moore and Orenstein, 2010).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Hosur, 2011
Cites
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973 · see citing works
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
Fu, L., & Kane, C. L. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.096407 · Cited by 4,868 · see citing works
Observation of a large-gap topological-insulator class with a single Dirac cone on the surface
Xia, Y., Qian, D., Hsieh, D., Wray, L., Pal, A., Lin, H., Bansil, A., Grauer, D., Hor, Y. S., Cava, R. J., et al. (2009) · Nature Physics · doi:10.1038/nphys1274 · Cited by 3,765 · see citing works
Chen, Y. L., Analytis, J. G., Chu, J.-H., Liu, Z. K., Mo, S.-K., Qi, X. L., Zhang, H. J., Lu, D. H., Dai, X., Fang, Z., et al. (2009) · Science · doi:10.1126/science.1173034 · Cited by 3,585 · see citing works
A topological Dirac insulator in a quantum spin Hall phase
Hsieh, D., Qian, D., Wray, L., Xia, Y., Hor, Y. S., Cava, R. J., & Hasan, M. Z. (2008) · Nature · doi:10.1038/nature06843 · Cited by 3,523 · see citing works
Topological surface states protected from backscattering by chiral spin texture
Roushan, P., Seo, J., Parker, C. V., Hor, Y. S., Hsieh, D., Qian, D., Richardella, A., Hasan, M. Z., Cava, R. J., & Yazdani, A. (2009) · Nature · doi:10.1038/nature08308 · Cited by 1,052 · see citing works
Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
Haldane, F. D. M. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.206602 · Cited by 760 · see citing works
Lin, H., Wray, L. A., Xia, Y., Xu, S., Jia, S., Cava, R. J., Bansil, A., & Hasan, M. Z. (2010) · Nature Materials · doi:10.1038/nmat2771 · Cited by 736 · see citing works
Massive Dirac fermions and spin physics in an ultrathin film of topological insulator
Lu, H.-Z., Shan, W.-Y., Yao, W., Niu, Q., & Shen, S.-Q. (2010) · Physical Review B · doi:10.1103/physrevb.81.115407 · Cited by 607 · see citing works
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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
“Generally these effects such as high harmonic generation, photovoltaic effects, shift (dc) currents, and nonlinear Kerr rotations, are related to the Berry connection and Berry curvature (Hosur, 2011; Moore and Orenstein, 2010).”
BackgroundControl over topological insulator photocurrents with light polarization
McIver, J. W., Hsieh, D., Steinberg, H., Jarillo-Herrero, P., & Gedik, N. (2012) · Nature Nanotechnology · doi:10.1038/nnano.2011.214 · Cited by 647 · 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
Riemannian geometry of resonant optical responses
Ahn, J., Guo, G.-Y., Nagaosa, N., & Vishwanath, A. (2022) · Nature Physics · doi:10.1038/s41567-021-01465-z · Cited by 252 · see citing works
Ultrafast photocurrents at the surface of the three-dimensional topological insulator Bi2Se3
Braun, L., Mussler, G., Hruban, A., Konczykowski, M., Schumann, T., Wolf, M., Münzenberg, M., Perfetti, L., & Kampfrath, T. (2016) · Nature Communications · doi:10.1038/ncomms13259 · Cited by 236 · see citing works
Helicity-dependent photocurrents in the chiral Weyl semimetal RhSi
Rees, D., Manna, K., Lu, B., Morimoto, T., Borrmann, H., Felser, C., Moore, J. E., Torchinsky, D. H., & Orenstein, J. (2020) · Science Advances · doi:10.1126/sciadv.aba0509 · Cited by 234 · see citing works
Topology and Symmetry of Quantum Materials via Nonlinear Optical Responses
Orenstein, J., Moore, J. E., Morimoto, T., Torchinsky, D. H., Harter, J. W., & Hsieh, D. (2021) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031218-013712 · Cited by 145 · see citing works
Enhancement of the Bulk Photovoltaic Effect in Topological Insulators
Tan, L. Z., & Rappe, A. M. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.237402 · Cited by 113 · see citing works
Ultrafast terahertz emission from emerging symmetry-broken materials
Pettine, J., Padmanabhan, P., Sirica, N., Prasankumar, R. P., Taylor, A. J., & Chen, H.-T. (2023) · Light: Science & Applications · doi:10.1038/s41377-023-01163-w · Cited by 81 · see citing works
Shift charge and spin photocurrents in Dirac surface states of topological insulator
Kim, K. W., Morimoto, T., & Nagaosa, N. (2017) · Physical Review B · doi:10.1103/physrevb.95.035134 · Cited by 79 · see citing works
Photovoltaic chiral magnetic effect in Weyl semimetals
Taguchi, K., Imaeda, T., Sato, M., & Tanaka, Y. (2016) · Physical Review B · doi:10.1103/physrevb.93.201202 · Cited by 74 · see citing works
Unconventional Photocurrents from Surface Fermi Arcs in Topological Chiral Semimetals
Chang, G., Yin, J.-X., Neupert, T., Sanchez, D. S., Belopolski, I., Zhang, S. S., Cochran, T. A., Chéng, Z., Hsu, M.-C., Huang, S.-M., et al. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.166404 · Cited by 72 · see citing works
Current-induced second harmonic generation in inversion-symmetric Dirac and Weyl semimetals
Takasan, K., Morimoto, T., Orenstein, J., & Moore, J. E. (2021) · Physical Review B · doi:10.1103/physrevb.104.l161202 · Cited by 47 · see citing works
Weyl and Dirac Semimetals in Three Dimensional Solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2017) · arXiv
“Generally these effects such as high harmonic generation, photovoltaic effects, shift (dc) currents, and nonlinear Kerr rotations, are related to the Berry connection and Berry curvature (Hosur, 2011; Moore and Orenstein, 2010).”
Background
- Authors
- Hosur, P.
- Affiliations
- University of California, Berkeley (US)
- Corresponding author
- Hosur, Pavan
- ORCID
- Hosur, Pavan
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2011-01-18
- Volume
- 83
- Issue
- 3
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1590742110
- Cited by
- 258
- References
- 9
- Citations by year
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- FWCI
- 8.68
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- arXiv (Cornell University)
- Funders
- U.S. Department of Energy
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Magnetic properties of thin films
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- circular photogalvanic effect, topological insulators, surface states, Berry curvature, helicity-dependent photocurrent, Bi2Se3, (111) surface, interband transitions, in-plane magnetic field, strain, spin generation, scattering time, semiclassical approximation
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