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Title: Interactions Remove the Quantization of the Chiral Photocurrent at Weyl Points

Abstract

The chiral photocurrent or circular photogalvanic effect (CPGE) is a photocurrent that depends on the sense of circular polarization. In a disorder-free, non-interacting chiral Weyl semimetal, the magnitude of the effect is approximately quantized with a material-independent quantum $e^3/h^2$ for reasons of band topology. We study the first-order corrections due to the Coulomb and Hubbard interactions in a continuum model of a Weyl semimetal in which known corrections from other bands are absent. We find that the inclusion of interactions generically breaks the quantization. The corrections have a weaker dependence on the form of the cutoff than previously studied interaction corrections to the (non-topological) linear optical conductivity of graphene, and a potentially observable frequency dependence. Here, we conclude that, unlike the quantum Hall effect in gapped phases or the chiral anomaly in field theories, the quantization of the CPGE in Weyl semimetals is not protected but has perturbative corrections in interaction strength.

Authors:
 [1];  [2];  [2]
  1. Univ. of California, Berkeley, CA (United States)
  2. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF)
OSTI Identifier:
1603638
Grant/Contract Number:  
AC02-05CH11231; DMR-1918065
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 124; Journal Issue: 19; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Avdoshkin, Alexander, Kozii, Vladyslav, and Moore, Joel E. Interactions Remove the Quantization of the Chiral Photocurrent at Weyl Points. United States: N. p., 2020. Web. doi:10.1103/physrevlett.124.196603.
Avdoshkin, Alexander, Kozii, Vladyslav, & Moore, Joel E. Interactions Remove the Quantization of the Chiral Photocurrent at Weyl Points. United States. https://doi.org/10.1103/physrevlett.124.196603
Avdoshkin, Alexander, Kozii, Vladyslav, and Moore, Joel E. Fri . "Interactions Remove the Quantization of the Chiral Photocurrent at Weyl Points". United States. https://doi.org/10.1103/physrevlett.124.196603. https://www.osti.gov/servlets/purl/1603638.
@article{osti_1603638,
title = {Interactions Remove the Quantization of the Chiral Photocurrent at Weyl Points},
author = {Avdoshkin, Alexander and Kozii, Vladyslav and Moore, Joel E.},
abstractNote = {The chiral photocurrent or circular photogalvanic effect (CPGE) is a photocurrent that depends on the sense of circular polarization. In a disorder-free, non-interacting chiral Weyl semimetal, the magnitude of the effect is approximately quantized with a material-independent quantum $e^3/h^2$ for reasons of band topology. We study the first-order corrections due to the Coulomb and Hubbard interactions in a continuum model of a Weyl semimetal in which known corrections from other bands are absent. We find that the inclusion of interactions generically breaks the quantization. The corrections have a weaker dependence on the form of the cutoff than previously studied interaction corrections to the (non-topological) linear optical conductivity of graphene, and a potentially observable frequency dependence. Here, we conclude that, unlike the quantum Hall effect in gapped phases or the chiral anomaly in field theories, the quantization of the CPGE in Weyl semimetals is not protected but has perturbative corrections in interaction strength.},
doi = {10.1103/physrevlett.124.196603},
journal = {Physical Review Letters},
number = 19,
volume = 124,
place = {United States},
year = {Fri May 15 00:00:00 EDT 2020},
month = {Fri May 15 00:00:00 EDT 2020}
}

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Works referenced in this record:

Difference frequency generation in topological semimetals
journal, January 2020


Chiral anomaly enhancement and photoirradiation effects in multiband touching fermion systems
journal, May 2017


Interacting topological insulators: a review
journal, October 2018


Universality of the Hall Conductivity in Interacting Electron Systems
journal, August 2016

  • Giuliani, Alessandro; Mastropietro, Vieri; Porta, Marcello
  • Communications in Mathematical Physics, Vol. 349, Issue 3
  • DOI: 10.1007/s00220-016-2714-8

Weyl Metals
journal, March 2018


Chiral Anomaly and Strength of the Electron-Electron Interaction in Graphene
journal, February 2013


Confinement-Induced Berry Phase and Helicity-Dependent Photocurrents
journal, July 2010


Diagrammatic approach to nonlinear optical response with application to Weyl semimetals
journal, January 2019


The method of uniqueness and the optical conductivity of graphene: New application of a powerful technique for multiloop calculations
journal, March 2017


Nonlinear optical susceptibilities of semiconductors: Results with a length-gauge analysis
journal, November 1995


Probing quantum criticality using nonlinear Hall effect in a metallic Dirac system
journal, January 2020


Universal collisionless transport of graphene
journal, June 2016


An Introduction To Quantum Field Theory
book, January 2018


Probing the Chiral Anomaly with Nonlocal Transport in Three-Dimensional Topological Semimetals
journal, September 2014


Topological response in Weyl semimetals and the chiral anomaly
journal, September 2012


Optical rectification and current injection in unbiased semiconductors
journal, December 2010


Conductivity of interacting massless Dirac particles in graphene: Collisionless regime
journal, December 2010


A PCAC puzzle: π0→γγ in the σ-model
journal, March 1969


Topological nature of nonlinear optical effects in solids
journal, May 2016


Interaction corrections to the polarization function of graphene
journal, September 2012


Universal Optical Conductance of Graphite
journal, March 2008


Unconventional Chiral Fermions and Large Topological Fermi Arcs in RhSi
journal, November 2017


Field theoretic renormalization study of interaction corrections to the universal ac conductivity of graphene
journal, July 2018


Coulomb Interaction, Ripples, and the Minimal Conductivity of Graphene
journal, January 2008


Chiral anomaly and transport in Weyl metals
journal, February 2015


Dielectric Function, Friedel Oscillation and Plasmons in weyl Semimetals
journal, September 2013


Quantum field-theoretical methods in transport theory of metals
journal, April 1986


Quantization of Hall Conductance for Interacting Electrons on a Torus
journal, September 2014

  • Hastings, Matthew B.; Michalakis, Spyridon
  • Communications in Mathematical Physics, Vol. 334, Issue 1
  • DOI: 10.1007/s00220-014-2167-x

Single-particle Green’s functions and interacting topological insulators
journal, February 2011


Absence of Higher-Order Corrections in the Anomalous Axial-Vector Divergence Equation
journal, June 1969


Optical transparency of graphene as determined by the fine-structure constant
journal, November 2009


Colloquium: Topological insulators
journal, November 2010


Quantized Hall conductance as a topological invariant
journal, March 1985


Second-order optical response in semiconductors
journal, February 2000


Axial-Vector Vertex in Spinor Electrodynamics
journal, January 1969


Space-time dispersion of graphene conductivity
journal, April 2007


Optical conductivity of an interacting Weyl liquid in the collisionless regime
journal, October 2017


Minimal conductivity in graphene: Interaction corrections and ultraviolet anomaly
journal, June 2008


Topological phase transitions and universality in the Haldane-Hubbard model
journal, November 2016


Quantized circular photogalvanic effect in Weyl semimetals
journal, July 2017

  • de Juan, Fernando; Grushin, Adolfo G.; Morimoto, Takahiro
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms15995

Quantized Hall conductivity in two dimensions
journal, May 1981


Unusual Microwave Response of Dirac Quasiparticles in Graphene
journal, June 2006


Magnetic field induced multi-component QED3 and quantum Hall effect
journal, March 1986

  • Ishikawa, K.; Matsuyama, T.
  • Zeitschrift f�r Physik C Particles and Fields, Vol. 33, Issue 1
  • DOI: 10.1007/BF01410451

Photogalvanic effect in Weyl semimetals
journal, August 2017


No more corrections to the topological mass term in QED3
journal, September 1985


Fine Structure Constant Defines Visual Transparency of Graphene
journal, June 2008


Works referencing / citing this record:

Floquet scattering of quadratic band-touching semimetals through a time-periodic potential well
journal, June 2021


Chiral Anomaly in Interacting Condensed Matter Systems
text, January 2021