Confinement-Induced Berry Phase and Helicity-Dependent Photocurrents
Open accessAbstract
The photocurrent in an optically active metal is known to contain a component that switches sign with the helicity of the incident radiation. At low frequencies, this current depends on the orbital Berry phase of the Bloch electrons via the "anomalous velocity" of Karplus and Luttinger. We consider quantum wells in which the parent material, such as GaAs, is not optically active and the relevant Berry phase only arises as a result of quantum confinement. Using an envelope approximation that is supported by numerical tight-binding results, it is shown that the Berry-phase contribution is determined for realistic wells by a cubic Berry phase intrinsic to the bulk material, the well width, and the well direction. These results for the Berry-phase effect suggest that it may already have been observed in quantum well experiments.
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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 Moore and Orenstein, 2010
The paper states that Berry-phase contributions produce circular and linear photogalvanic photocurrents (p. 2), supporting the claim for those nonlinear dc optical effects. It does not connect high harmonic generation, shift currents, or nonlinear Kerr rotations to the Berry connection or curvature. It also distinguishes its Berry-phase photogalvanic terms from the more typical photovoltaic term in Eq. 8 (p. 2). (LLM, conf=0.88)
Experimental — accuracy not yet measuredThe CPGE can be shown to be sensitive to the anomalous velocity derived by Karplus and Luttinger, later interpreted as a Berry-phase effect.
“It can be shown (Moore and Orenstein, 2010) to be sensitive to the anomalous velocity derived by Karplus and Luttinger (Karplus and Luttinger, 1954) that was later interpreted as a Berry-phase effect (Jungwirth et al. , 2002; Sundaram and Niu, 1999).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Moore and Orenstein, 2010
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Cites
Quantum Spin Hall Insulator State in HgTe Quantum Wells
König, M., Wiedmann, S., Brüne, C., Roth, A., Buhmann, H., Molenkamp, L. W., Qi, X.-L., & Zhang, S.-C. (2007) · Science · doi:10.1126/science.1148047 · Cited by 6,151 · see citing works
Topological Insulators in Three Dimensions
Fu, L., Kane, C. L., & Mele, E. J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.106803 · Cited by 4,651 · 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
Flagged first, then by citations
Research works printed but not linked: 2
- [1]M. V. Berry, Proc. Roy. Soc. A 392 , 45 (1984).
- [15]H. Diehl et al., New Journal of Physics 9 , 349 (2007).
Cited by
Sorted by citations
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
“It can be shown (Moore and Orenstein, 2010) to be sensitive to the anomalous velocity derived by Karplus and Luttinger (Karplus and Luttinger, 1954) that was later interpreted as a Berry-phase effect (Jungwirth et al., 2002; Sundaram and Niu, 1999).”
BackgroundQuantum 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
Quantized circular photogalvanic effect in Weyl semimetals
de Juan, F., Grushin, A. G., Morimoto, T., & Moore, J. E. (2017) · Nature Communications · doi:10.1038/ncomms15995 · Cited by 708 · see citing works
Self-citationControl 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
Giant anisotropic nonlinear optical response in transition metal monopnictide Weyl semimetals
Wu, L., Patankar, S., Morimoto, T., Nair, N. L., Thewalt, E., Little, A., Analytis, J. G., Moore, J. E., & Orenstein, J. (2017) · Nature Physics · doi:10.1038/nphys3969 · Cited by 468 · see citing works
Self-citationShift current bulk photovoltaic effect in polar materials—hybrid and oxide perovskites and beyond
Tan, L. Z., Zheng, F., Young, S. M., Wang, F., Liu, S., & Rappe, A. M. (2016) · npj Computational Materials · doi:10.1038/npjcompumats.2016.26 · Cited by 393 · 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-citationTopology 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
Self-citationResonance-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-citationTunable circular dichroism due to the chiral anomaly in Weyl semimetals
Hosur, P., & Qi, X.-L. (2015) · Physical Review B · doi:10.1103/physrevb.91.081106 · Cited by 95 · see citing works
Interactions Remove the Quantization of the Chiral Photocurrent at Weyl Points
Avdoshkin, A., Kozii, V., & Moore, J. E. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.196603 · Cited by 78 · see citing works
Self-citationIshizuka, H., Hayata, T., Ueda, M., & Nagaosa, N. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.216601 · Cited by 76 · 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
Self-citationWeyl and Dirac Semimetals in Three Dimensional Solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2017) · arXiv
“It can be shown (Moore and Orenstein, 2010) to be sensitive to the anomalous velocity derived by Karplus and Luttinger (Karplus and Luttinger, 1954) that was later interpreted as a Berry-phase effect (Jungwirth et al., 2002; Sundaram and Niu, 1999).”
Background
- Authors
- Moore, J. E., & Orenstein, J.
- Affiliations
- Lawrence Berkeley National Laboratory (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2010-07-09
- Volume
- 105
- Issue
- 2
- Pages
- 026805-026805
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2019740372
- Cited by
- 248
- References
- 3
- Citations by year
- 2026: 15 · 2025: 25 · 2024: 25 · 2023: 22 · 2022: 35 · 2021: 39 · 2020: 21 · 2019: 19 · 2018: 21 · 2017: 5 · 2016: 7 · 2015: 2 · 2014: 3 · 2013: 2 · 2012: 1
- FWCI
- 1.46
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (0804413)
- U.S. Department of Energy
- Division of Materials Research
- 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 › Semiconductor Quantum Structures and Devices
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Keywords
- Berry phase, quantum wells, helicity-dependent photocurrent, anomalous velocity, quantum confinement, GaAs, envelope approximation, tight-binding model
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