Intrinsic Fermi-surface contribution to the bulk photovoltaic effect
Abstract
We study the Fermi surface contribution to the nonlinear DC photocurrent at quadratic order in a spatially uniform optical field in the ultra-clean limit. In addition to shift and injection current,we find that polarized light incident on a metallic system generates an intrinsic contribution to the bulk photovoltaic effect deriving from photoinduced electronic transitions on the Fermi surface. In velocity gauge, this contribution originates in both the coherent band off-diagonal and diagonal parts of the density matrix, describing respectively, the coherent wave function evolution and the carrier dynamics of an excited population. We derive a formula for the intrinsic Fermi surface contribution for a time-reversal invariant chiral Weyl semimetal illuminated with circularly-polarized light. At low frequency, this response is proportional to the frequency of the driving field, with its sign determined by the topological charge of the Weyl nodes and with its magnitude being comparable to the recently discovered quantized circular photogalvanic effect. Our work presents a complete derivation for all contributions to nonlinear DC photocurrent and classify them according to the polarization of light in the presence and absence of TRS.
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1832920
- Alternate Identifier(s):
- OSTI ID: 1832885
- Grant/Contract Number:
- FG02-07ER46431; FG02-84ER45118
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Research
- Additional Journal Information:
- Journal Name: Physical Review Research Journal Volume: 3 Journal Issue: 4; Journal ID: ISSN 2643-1564
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Photovoltaic effect; Weyl semimetal; circular photogalvanic effect; photoconductivity; photogalvanic effect
Citation Formats
Gao, Lingyuan, Addison, Zachariah, Mele, E. J., and Rappe, Andrew M. Intrinsic Fermi-surface contribution to the bulk photovoltaic effect. United States: N. p., 2021.
Web. doi:10.1103/PhysRevResearch.3.L042032.
Gao, Lingyuan, Addison, Zachariah, Mele, E. J., & Rappe, Andrew M. Intrinsic Fermi-surface contribution to the bulk photovoltaic effect. United States. https://doi.org/10.1103/PhysRevResearch.3.L042032
Gao, Lingyuan, Addison, Zachariah, Mele, E. J., and Rappe, Andrew M. Mon .
"Intrinsic Fermi-surface contribution to the bulk photovoltaic effect". United States. https://doi.org/10.1103/PhysRevResearch.3.L042032.
@article{osti_1832920,
title = {Intrinsic Fermi-surface contribution to the bulk photovoltaic effect},
author = {Gao, Lingyuan and Addison, Zachariah and Mele, E. J. and Rappe, Andrew M.},
abstractNote = {We study the Fermi surface contribution to the nonlinear DC photocurrent at quadratic order in a spatially uniform optical field in the ultra-clean limit. In addition to shift and injection current,we find that polarized light incident on a metallic system generates an intrinsic contribution to the bulk photovoltaic effect deriving from photoinduced electronic transitions on the Fermi surface. In velocity gauge, this contribution originates in both the coherent band off-diagonal and diagonal parts of the density matrix, describing respectively, the coherent wave function evolution and the carrier dynamics of an excited population. We derive a formula for the intrinsic Fermi surface contribution for a time-reversal invariant chiral Weyl semimetal illuminated with circularly-polarized light. At low frequency, this response is proportional to the frequency of the driving field, with its sign determined by the topological charge of the Weyl nodes and with its magnitude being comparable to the recently discovered quantized circular photogalvanic effect. Our work presents a complete derivation for all contributions to nonlinear DC photocurrent and classify them according to the polarization of light in the presence and absence of TRS.},
doi = {10.1103/PhysRevResearch.3.L042032},
journal = {Physical Review Research},
number = 4,
volume = 3,
place = {United States},
year = {Mon Nov 29 00:00:00 EST 2021},
month = {Mon Nov 29 00:00:00 EST 2021}
}
https://doi.org/10.1103/PhysRevResearch.3.L042032
Works referenced in this record:
Ballistic photocurrents in semiconductor quantum wells caused by the excitation of asymmetric excitons
journal, July 2019
- Duc, Huynh Thanh; Ngo, Cong; Meier, Torsten
- Physical Review B, Vol. 100, Issue 4
Difference frequency generation in topological semimetals
journal, January 2020
- de Juan, F.; Zhang, Y.; Morimoto, T.
- Physical Review Research, Vol. 2, Issue 1
A ferroelectric-like structural transition in a metal
journal, September 2013
- Shi, Youguo; Guo, Yanfeng; Wang, Xia
- Nature Materials, Vol. 12, Issue 11
Nonlinear optical response of semiconductors in the independent-particle approximation
journal, October 1993
- Sipe, J. E.; Ghahramani, Ed
- Physical Review B, Vol. 48, Issue 16
Theory of the bulk photovoltaic effect in pure crystals
journal, May 1981
- von Baltz, Ralph; Kraut, Wolfgang
- Physical Review B, Vol. 23, Issue 10
Chiral anomaly and transport in Weyl metals
journal, February 2015
- Burkov, A. A.
- Journal of Physics: Condensed Matter, Vol. 27, Issue 11
Weyl Metals
journal, March 2018
- Burkov, A. A.
- Annual Review of Condensed Matter Physics, Vol. 9, Issue 1
Nonlinear photoresponse of type-II Weyl semimetals
journal, March 2019
- Ma, Junchao; Gu, Qiangqiang; Liu, Yinan
- Nature Materials, Vol. 18, Issue 5
Phonon-Assisted Ballistic Current from First-Principles Calculations
journal, April 2021
- Dai, Zhenbang; Schankler, Aaron M.; Gao, Lingyuan
- Physical Review Letters, Vol. 126, Issue 17
Design principles for shift current photovoltaics
journal, January 2017
- Cook, Ashley M.; M. Fregoso, Benjamin; de Juan, Fernando
- Nature Communications, Vol. 8, Issue 1
Nonlinear anomalous photocurrents in Weyl semimetals
journal, May 2018
- Rostami, Habib; Polini, Marco
- Physical Review B, Vol. 97, Issue 19
Riemannian structure on manifolds of quantum states
journal, September 1980
- Provost, J. P.; Vallee, G.
- Communications in Mathematical Physics, Vol. 76, Issue 3
Polar metals by geometric design
journal, April 2016
- Kim, T. H.; Puggioni, D.; Yuan, Y.
- Nature, Vol. 533, Issue 7601
Photogalvanic effect in Weyl semimetals from first principles
journal, June 2018
- Zhang, Yang; Ishizuka, Hiroaki; van den Brink, Jeroen
- Physical Review B, Vol. 97, Issue 24
Direct optical detection of Weyl fermion chirality in a topological semimetal
journal, May 2017
- Ma, Qiong; Xu, Su-Yang; Chan, Ching-Kit
- Nature Physics, Vol. 13, Issue 9
Direct observation of shift and ballistic photovoltaic currents
journal, January 2019
- Burger, Aaron M.; Agarwal, Radhe; Aprelev, Alexey
- Science Advances, Vol. 5, Issue 1
Equivalence of interaction hamiltonians in the electric dipole approximation
journal, May 2004
- Rzązewski, K.; Boyd, R. W.
- Journal of Modern Optics, Vol. 51, Issue 8
Quantal Phase Factors Accompanying Adiabatic Changes
journal, March 1984
- Berry, M. V.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 392, Issue 1802
Gauge covariances and nonlinear optical responses
journal, July 2017
- Ventura, G. B.; Passos, D. J.; Lopes dos Santos, J. M. B.
- Physical Review B, Vol. 96, Issue 3
Nonvanishing Subgap Photocurrent as a Probe of Lifetime Effects
journal, November 2020
- Kaplan, Daniel; Holder, Tobias; Yan, Binghai
- Physical Review Letters, Vol. 125, Issue 22
Ultrafast shift and injection currents observed in wurtzite semiconductors via emitted terahertz radiation
journal, November 2005
- Laman, N.; Bieler, M.; van Driel, H. M.
- Journal of Applied Physics, Vol. 98, Issue 10
Shift charge and spin photocurrents in Dirac surface states of topological insulator
journal, January 2017
- Kim, Kun Woo; Morimoto, Takahiro; Nagaosa, Naoto
- Physical Review B, Vol. 95, Issue 3
Topological response in Weyl semimetals and the chiral anomaly
journal, September 2012
- Zyuzin, A. A.; Burkov, A. A.
- Physical Review B, Vol. 86, Issue 11
Quantized circular photogalvanic effect in Weyl semimetals
journal, July 2017
- de Juan, Fernando; Grushin, Adolfo G.; Morimoto, Takahiro
- Nature Communications, Vol. 8, Issue 1
Nonlinear optical responses of crystalline systems: Results from a velocity gauge analysis
journal, June 2018
- Passos, D. J.; Ventura, G. B.; Lopes, J. M. Viana Parente
- Physical Review B, Vol. 97, Issue 23
Shift photovoltaic current and magnetically induced bulk photocurrent in piezoelectric sillenite crystals
journal, August 2020
- Burger, Aaron M.; Gao, Lingyuan; Agarwal, Radhe
- Physical Review B, Vol. 102, Issue 8
First Principles Calculation of the Shift Current Photovoltaic Effect in Ferroelectrics
journal, September 2012
- Young, Steve M.; Rappe, Andrew M.
- Physical Review Letters, Vol. 109, Issue 11, Article No. 116601
Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials
journal, November 2015
- Sodemann, Inti; Fu, Liang
- Physical Review Letters, Vol. 115, Issue 21
Enhanced intrinsic photovoltaic effect in tungsten disulfide nanotubes
journal, June 2019
- Zhang, Y. J.; Ideue, T.; Onga, M.
- Nature, Vol. 570, Issue 7761
Nonlinear Hall Acceleration and the Quantum Rectification Sum Rule
journal, December 2019
- Matsyshyn, O.; Sodemann, I.
- Physical Review Letters, Vol. 123, Issue 24
Metallic “Ferroelectricity” in the Pyrochlore
journal, February 2004
- Sergienko, I. A.; Keppens, V.; McGuire, M.
- Physical Review Letters, Vol. 92, Issue 6
Large Bulk Photovoltaic Effect and Spontaneous Polarization of Single-Layer Monochalcogenides
journal, August 2017
- Rangel, Tonatiuh; Fregoso, Benjamin M.; Mendoza, Bernardo S.
- Physical Review Letters, Vol. 119, Issue 6
Ferroelectric switching of a two-dimensional metal
journal, July 2018
- Fei, Zaiyao; Zhao, Wenjin; Palomaki, Tauno A.
- Nature, Vol. 560, Issue 7718
Enhancement of the Bulk Photovoltaic Effect in Topological Insulators
journal, June 2016
- Tan, Liang Z.; Rappe, Andrew M.
- Physical Review Letters, Vol. 116, Issue 23
Chiral Photocurrent in Parity-Violating Magnet and Enhanced Response in Topological Antiferromagnet
journal, January 2021
- Watanabe, Hikaru; Yanase, Youichi
- Physical Review X, Vol. 11, Issue 1
Ab initio calculation of the shift photocurrent by Wannier interpolation
journal, June 2018
- Ibañez-Azpiroz, Julen; Tsirkin, Stepan S.; Souza, Ivo
- Physical Review B, Vol. 97, Issue 24
Photogalvanic effects investigation in gallium arsenide
journal, August 1982
- Alperovich, V. L.; Belinicher, V. I.; Novikov, V. N.
- Ferroelectrics, Vol. 45, Issue 1