Non-linear transport in multifold semimetals

Fuente: arXiv
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Autori principali: Dagnino, Andrea Kouta, Liu, Xiaoxiong, Neupert, Titus
Natura: Preprint
Pubblicazione: 2025
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author Dagnino, Andrea Kouta
Liu, Xiaoxiong
Neupert, Titus
author_facet Dagnino, Andrea Kouta
Liu, Xiaoxiong
Neupert, Titus
contents Transport measurements are a powerful way to probe the electronic structure of quantum materials, but the information they contain is often convoluted. Yet, in particular for simple low-energy fermiologies, and by combining linear and non-linear responses, definite conclusion can be drawn -- such as, for instance, in the case of the circular photogalvanic effect in Weyl semimetals. Here, we derive the complete DC intrinsic transport response functions up to third order in the applied electric field within Boltzmann theory that hold combined information about quantum geometry and band dispersion. We discuss the responses for multifold fermions at high-symmetry momenta in time-reversal symmetric crystals as well as their reduction by symmetry constraints. We exemplify in detail the cases of space group 213 and space group 199, which realize different multifold fermions, and show under which conditions these low-energy excitations can be differentially addressed through their bulk nonlinear responses, enabling nonlinear valley-tronics.
format Preprint
id arxiv_https___arxiv_org_abs_2512_08891
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-linear transport in multifold semimetals
Dagnino, Andrea Kouta
Liu, Xiaoxiong
Neupert, Titus
Mesoscale and Nanoscale Physics
Transport measurements are a powerful way to probe the electronic structure of quantum materials, but the information they contain is often convoluted. Yet, in particular for simple low-energy fermiologies, and by combining linear and non-linear responses, definite conclusion can be drawn -- such as, for instance, in the case of the circular photogalvanic effect in Weyl semimetals. Here, we derive the complete DC intrinsic transport response functions up to third order in the applied electric field within Boltzmann theory that hold combined information about quantum geometry and band dispersion. We discuss the responses for multifold fermions at high-symmetry momenta in time-reversal symmetric crystals as well as their reduction by symmetry constraints. We exemplify in detail the cases of space group 213 and space group 199, which realize different multifold fermions, and show under which conditions these low-energy excitations can be differentially addressed through their bulk nonlinear responses, enabling nonlinear valley-tronics.
title Non-linear transport in multifold semimetals
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2512.08891