Wavefunction-Free Approach for Predicting Nonlinear Responses in Weyl Semimetals

Fuente: arXiv
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Autori principali: Yahyavi, Mohammad, Belopolski, Ilya, Jin, Yuanjun, Zhao, Yilin, Ni, Jinyang, Wang, Naizhou, Hung, Yi-Chun, Cheng, Zi-Jia, Cochran, Tyler A., Chang, Tay-Rong, Gao, Wei-bo, Xu, Su-Yang, Yin, Jia-Xin, Ma, Qiong, Hossain, Md Shafayat, Bansil, Arun, Nagaosa, Naoto, Chang, Guoqing
Natura: Preprint
Pubblicazione: 2025
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author Yahyavi, Mohammad
Belopolski, Ilya
Jin, Yuanjun
Zhao, Yilin
Ni, Jinyang
Wang, Naizhou
Hung, Yi-Chun
Cheng, Zi-Jia
Cochran, Tyler A.
Chang, Tay-Rong
Gao, Wei-bo
Xu, Su-Yang
Yin, Jia-Xin
Ma, Qiong
Hossain, Md Shafayat
Bansil, Arun
Nagaosa, Naoto
Chang, Guoqing
author_facet Yahyavi, Mohammad
Belopolski, Ilya
Jin, Yuanjun
Zhao, Yilin
Ni, Jinyang
Wang, Naizhou
Hung, Yi-Chun
Cheng, Zi-Jia
Cochran, Tyler A.
Chang, Tay-Rong
Gao, Wei-bo
Xu, Su-Yang
Yin, Jia-Xin
Ma, Qiong
Hossain, Md Shafayat
Bansil, Arun
Nagaosa, Naoto
Chang, Guoqing
contents By sidestepping the intractable calculations of many-body wavefunctions, density functional theory (DFT) has revolutionized the prediction of ground states of materials. However, predicting nonlinear responses--critical for next-generation quantum devices--still relies heavily on explicit wavefunctions, limiting computational efficiency. In this letter, using the circular photogalvanic effect (CPGE) in Weyl semimetals as a representative example, we realize a 1000-fold computational speedup by eliminating the explicit dependence on wavefunctions. Our approach leverages the one-to-one correspondence between free parameters of Weyl fermions and the associated responses to obtain precise wavefunction-free formulations. Applying our methodology, we systematically investigated known Weyl semimetals and revealed that Ta$_3$S$_2$ exhibits photocurrents an order of magnitude greater than those observed in TaAs, with potential for an additional order-of-magnitude enhancement under strain. To further demonstrate the generality of our approach, we obtained a wavefunction-free formula for the Berry-curvature dipole in Weyl semimetals. Our work paves the way for substantially more efficient screening and optimization of nonlinear electromagnetic properties in topological quantum materials.
format Preprint
id arxiv_https___arxiv_org_abs_2505_09187
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Wavefunction-Free Approach for Predicting Nonlinear Responses in Weyl Semimetals
Yahyavi, Mohammad
Belopolski, Ilya
Jin, Yuanjun
Zhao, Yilin
Ni, Jinyang
Wang, Naizhou
Hung, Yi-Chun
Cheng, Zi-Jia
Cochran, Tyler A.
Chang, Tay-Rong
Gao, Wei-bo
Xu, Su-Yang
Yin, Jia-Xin
Ma, Qiong
Hossain, Md Shafayat
Bansil, Arun
Nagaosa, Naoto
Chang, Guoqing
Materials Science
By sidestepping the intractable calculations of many-body wavefunctions, density functional theory (DFT) has revolutionized the prediction of ground states of materials. However, predicting nonlinear responses--critical for next-generation quantum devices--still relies heavily on explicit wavefunctions, limiting computational efficiency. In this letter, using the circular photogalvanic effect (CPGE) in Weyl semimetals as a representative example, we realize a 1000-fold computational speedup by eliminating the explicit dependence on wavefunctions. Our approach leverages the one-to-one correspondence between free parameters of Weyl fermions and the associated responses to obtain precise wavefunction-free formulations. Applying our methodology, we systematically investigated known Weyl semimetals and revealed that Ta$_3$S$_2$ exhibits photocurrents an order of magnitude greater than those observed in TaAs, with potential for an additional order-of-magnitude enhancement under strain. To further demonstrate the generality of our approach, we obtained a wavefunction-free formula for the Berry-curvature dipole in Weyl semimetals. Our work paves the way for substantially more efficient screening and optimization of nonlinear electromagnetic properties in topological quantum materials.
title Wavefunction-Free Approach for Predicting Nonlinear Responses in Weyl Semimetals
topic Materials Science
url https://arxiv.org/abs/2505.09187