Photovoltaic Hall effect in graphene
Open accessAbstract
Response of electronic systems in intense lights (ac electric fields) to dc source-drain fields is formulated with the Floquet method. We have then applied the formalism to graphene, for which we show that a nonlinear effect of a circularly polarized light can open a gap in the Dirac cone, which is predicted to lead to a photoinduced dc Hall current. This is numerically confirmed for a graphene ribbon attached to electrodes with the Keldysh Green's function.
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In the light-induced anomalous Hall system, the helicity of the optical field breaks symmetry and opens an intensity-dependent topological Floquet band gap, leading to a Chern insulating state with protected edge transport.
“In this system, the helicity of the optical field breaks symmetry and opens an intensity-dependent topological Floquet band gap249, leading to a Chern insulating state with protected edge transport.”
From Ultrafast terahertz emission from emerging symmetry-broken materials (2023) · cites this paper as [249]
The paper reports that circularly polarized light opens a Floquet quasi-energy gap that grows with field strength (p. 2), and that reversing the polarization reverses the photo-induced Hall current (p. 3). It does not establish that the gap produces a Chern insulating state or protected edge transport; its reported Hall current requires a DC bias. (LLM, conf=0.88)
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Cites
Electric Field Effect in Atomically Thin Carbon Films
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Zhang, Y., Dubonos, S. V., Grigorieva, I. V., & Firsov, A. A. (2004) · Science · doi:10.1126/science.1102896 · Cited by 66,834 · see citing works
Two-dimensional atomic crystals
Novoselov, K. S., Jiang, D., Schedin, F., Booth, T. J., Khotkevich, V. V., Morozov, S. V., & Geim, A. K. (2005) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0502848102 · Cited by 11,788 · see citing works
Quantal phase factors accompanying adiabatic changes
Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252 · see citing works
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
Valley-Contrasting Physics in Graphene: Magnetic Moment and Topological Transport
Xiao, D., Yao, W., & Niu, Q. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.236809 · Cited by 2,296 · see citing works
Phase change during a cyclic quantum evolution
Aharonov, Y., & Anandan, J. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1593 · Cited by 2,201 · see citing works
Time-dependent transport in interacting and noninteracting resonant-tunneling systems
Jauho, A., Wingreen, N. S., & Meir, Y. (1994) · Physical review. B, Condensed matter · doi:10.1103/physrevb.50.5528 · Cited by 1,935 · see citing works
Quantization of particle transport
Thouless, D. J. (1983) · Physical Review B · doi:10.1103/physrevb.27.6083 · Cited by 1,767 · see citing works
�ber eine Klasse von L�sungen der Diracschen Gleichung
Wolkow, D. M. (1935) · The European Physical Journal A · doi:10.1007/bf01331022 · Cited by 1,290 · see citing works
Steady States and Quasienergies of a Quantum-Mechanical System in an Oscillating Field
Sambé, H. (1973) · Physical Review A · doi:10.1103/physreva.7.2203 · Cited by 1,232 · see citing works
Driven quantum transport on the nanoscale
Kohler, S., Lehmann, J., & Peter Hänggi, A. (2005) · Physics Reports · doi:10.1016/j.physrep.2004.11.002 · Cited by 739 · see citing works
Berry Phase Correction to Electron Density of States in Solids
Xiao, D., Shi, J., & Niu, Q. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.137204 · Cited by 608 · see citing works
Quantum Transport and Dissipation
Dittrich, T., Hänggi, P., & Ingold, G. (1998) · Cited by 454 · see citing works
Orbital Magnetization in Periodic Insulators
Thonhauser, T., Ceresoli, D., Vanderbilt, D., et al. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.137205 · Cited by 453 · see citing works
Peskin, U., & Moiseyev, N. (1993) · The Journal of Chemical Physics · doi:10.1063/1.466058 · Cited by 240 · see citing works
Ground-State Decay Rate for the Zener Breakdown in Band and Mott Insulators
Oka, T., & Aoki, H. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.137601 · Cited by 166 · see citing works
Self-citationEffect of radiation on transport in graphene
Syzranov, S., Fistul, M. V., & Efetov, K. B. (2008) · Physical Review B · doi:10.1103/physrevb.78.045407 · Cited by 154 · see citing works
Kubo formula for Floquet states and photoconductivity oscillations in a two-dimensional electron gas
Torres, M., & Kunold, A. (2005) · Physical Review B · doi:10.1103/physrevb.71.115313 · Cited by 80 · see citing works
Quantum phases and Landau-Zener transitions in oscillating fields
Breuer, H., & Holthaus, M. (1989) · Physics Letters A · doi:10.1016/0375-9601(89)90132-1 · Cited by 65 · see citing works
Microwave response of individual multiwall carbon nanotubes
Kim, J., So, H., Kim, N., et al. (2004) · Physical Review B · doi:10.1103/physrevb.70.153402 · Cited by 17 · see citing works
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Cited by
Sorted by citations
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722 · see citing works
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655 · see citing works
Photonic Floquet topological insulators
Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., & Szameit, A. (2013) · Nature · doi:10.1038/nature12066 · Cited by 3,332 · see citing works
Topological characterization of periodically driven quantum systems
Kitagawa, T., Berg, E., Rudner, M., & Demler, E. (2010) · Physical Review B · doi:10.1103/physrevb.82.235114 · Cited by 1,239 · see citing works
Light-induced gauge fields for ultracold atoms
Goldman, N., Juzeliūnas, G., Öhberg, P., & Spielman, I. B. (2014) · Reports on Progress in Physics · doi:10.1088/0034-4885/77/12/126401 · Cited by 1,212 · see citing works
Non-reciprocal photonics based on time modulation
Sounas, D. L., & Alù, A. (2017) · Nature Photonics · doi:10.1038/s41566-017-0051-x · Cited by 989 · see citing works
Light-induced anomalous Hall effect in graphene
McIver, J. W., Schulte, B., Stein, F.-U., Matsuyama, T., Jotzu, G., Meier, G., & Cavalleri, A. (2020) · Nature Physics · doi:10.1038/s41567-019-0698-y · Cited by 888 · see citing works
Lee, C. H., Imhof, S., Berger, C., Bayer, F., Brehm, J., Molenkamp, L. W., Kiessling, T., & Thomale, R. (2018) · Communications Physics · doi:10.1038/s42005-018-0035-2 · Cited by 661 · 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
Experimental reconstruction of the Berry curvature in a Floquet Bloch band
Fläschner, N., Rem, B. S., Tarnowski, M., Vogel, D., Lühmann, D.-S., Sengstock, K., & Weitenberg, C. (2016) · Science · doi:10.1126/science.aad4568 · Cited by 487 · see citing works
Experimental observation of optical Weyl points and Fermi arc-like surface states
Noh, J., Huang, S., Leykam, D., Chong, Y. D., Chen, K. P., & Rechtsman, M. C. (2017) · Nature Physics · doi:10.1038/nphys4072 · Cited by 314 · 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
“Note that the response at high photon energies follows Oka and Aoki’s result [35] for massless graphene.”
BackgroundMorimoto, T., Zhong, S., Orenstein, J., & Moore, J. E. (2016) · Physical Review B · doi:10.1103/physrevb.94.245121 · Cited by 192 · see citing works
When Chiral Photons Meet Chiral Fermions: Photoinduced Anomalous Hall Effects in Weyl Semimetals
Chan, C.-K., Lee, P. A., Burch, K. S., Han, J. H., & Ran, Y. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.026805 · Cited by 188 · see citing works
Ezawa, M. (2013) · Physical Review B · doi:10.1103/physrevb.88.161406 · Cited by 129 · 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
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
Ultrafast investigation and control of Dirac and Weyl semimetals
Weber, C. P. (2021) · Journal of Applied Physics · doi:10.1063/5.0035878 · Cited by 55 · see citing works
Dirac Dynamics in Waveguide Arrays: From Zitterbewegung to Photonic Topological Insulators
Dreisow, F., Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Keil, R., Nolte, S., Segev, M., & Szameit, A. (2017) · Quantum Science and Technology · doi:10.1007/978-3-319-52025-4_8 · Cited by 4 · see citing works
Chudzinski, P. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.012048 · Cited by 4 · see citing works
- Authors
- Oka, T., & Aoki, H.
- Affiliations
- The University of Tokyo (JP)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2009-02-23
- Volume
- 79
- Issue
- 8
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2020581398
- Cited by
- 1,423
- References
- 20
- Citations by year
- 2026: 90 · 2025: 120 · 2024: 94 · 2023: 116 · 2022: 108 · 2021: 120 · 2020: 161 · 2019: 113 · 2018: 115 · 2017: 112 · 2016: 93 · 2015: 62 · 2014: 40 · 2013: 38 · 2012: 15
- FWCI
- 6.45
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Graphene research and applications
- 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 › Quantum and electron transport phenomena
- Keywords
- graphene, Floquet theory, circularly polarized light, nonlinear optical properties, graphene nanoribbons, Keldysh Green's function, AC electric field
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