Effect of Interactions on the Quantization of the Chiral Photocurrent for Double-Weyl Semimetals

The circular photogalvanic effect (CPGE) is the photocurrent generated in an optically active material in response to an applied AC electric field, and it changes sign depending on the chirality of the incident circularly polarized light. It is a non-linear DC current as it is second order in the ap...

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Main Author: Ipsita Mandal
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/6/919
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author Ipsita Mandal
author_facet Ipsita Mandal
author_sort Ipsita Mandal
collection DOAJ
description The circular photogalvanic effect (CPGE) is the photocurrent generated in an optically active material in response to an applied AC electric field, and it changes sign depending on the chirality of the incident circularly polarized light. It is a non-linear DC current as it is second order in the applied electric field, and for a certain range of low frequencies, takes on a quantized value proportional to the topological charge for a system which is a source of non-zero Berry flux. We show that for a non-interacting double-Weyl node, the CPGE is proportional to two quanta of Berry flux. On examining the effect of short-ranged Hubbard interactions up to first-order corrections, we find that this quantization is destroyed. This implies that unlike the quantum Hall effect in gapped phases or the chiral anomaly in field theories, the quantization of the CPGE in topological semimetals is not protected.
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spelling doaj.art-758269bfc1424ce9aa9f9ef3214c3da72023-11-20T02:33:27ZengMDPI AGSymmetry2073-89942020-06-0112691910.3390/sym12060919Effect of Interactions on the Quantization of the Chiral Photocurrent for Double-Weyl SemimetalsIpsita Mandal0Faculty of Science and Technology, University of Stavanger, 4036 Stavanger, NorwayThe circular photogalvanic effect (CPGE) is the photocurrent generated in an optically active material in response to an applied AC electric field, and it changes sign depending on the chirality of the incident circularly polarized light. It is a non-linear DC current as it is second order in the applied electric field, and for a certain range of low frequencies, takes on a quantized value proportional to the topological charge for a system which is a source of non-zero Berry flux. We show that for a non-interacting double-Weyl node, the CPGE is proportional to two quanta of Berry flux. On examining the effect of short-ranged Hubbard interactions up to first-order corrections, we find that this quantization is destroyed. This implies that unlike the quantum Hall effect in gapped phases or the chiral anomaly in field theories, the quantization of the CPGE in topological semimetals is not protected.https://www.mdpi.com/2073-8994/12/6/919circular photogalvanic effectdouble-Weyl semimetalsquantization
spellingShingle Ipsita Mandal
Effect of Interactions on the Quantization of the Chiral Photocurrent for Double-Weyl Semimetals
Symmetry
circular photogalvanic effect
double-Weyl semimetals
quantization
title Effect of Interactions on the Quantization of the Chiral Photocurrent for Double-Weyl Semimetals
title_full Effect of Interactions on the Quantization of the Chiral Photocurrent for Double-Weyl Semimetals
title_fullStr Effect of Interactions on the Quantization of the Chiral Photocurrent for Double-Weyl Semimetals
title_full_unstemmed Effect of Interactions on the Quantization of the Chiral Photocurrent for Double-Weyl Semimetals
title_short Effect of Interactions on the Quantization of the Chiral Photocurrent for Double-Weyl Semimetals
title_sort effect of interactions on the quantization of the chiral photocurrent for double weyl semimetals
topic circular photogalvanic effect
double-Weyl semimetals
quantization
url https://www.mdpi.com/2073-8994/12/6/919
work_keys_str_mv AT ipsitamandal effectofinteractionsonthequantizationofthechiralphotocurrentfordoubleweylsemimetals