Inverse Spin Hall Effect in Nonequilibrium Dirac Systems Induced by Anomalous Flow Imbalance

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Autori principali: Teh, Hung-Hsuan, Numasawa, Tokiro, Okumura, Shun, Oka, Takashi
Natura: Preprint
Pubblicazione: 2024
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author Teh, Hung-Hsuan
Numasawa, Tokiro
Okumura, Shun
Oka, Takashi
author_facet Teh, Hung-Hsuan
Numasawa, Tokiro
Okumura, Shun
Oka, Takashi
contents We study Dirac fermions in the presence of a space-dependent chiral gauge field and thermodynamic gradients, establishing a connection to the inverse spin Hall effect. The chiral gauge field induces a chiral magnetic field, resulting in a surface Fermi arc state and a chiral Landau level state which, although is delocalized in the bulk, we show to be more robust against impurities. By applying chemical potential and temperature gradients, we achieve nonzero charge currents, with each gradient leading to distinct Fermi level dependencies, both of which have been observed in a recent experiment. Unlike the conventional mixed axial-gravitational anomaly, our currents require a noncollinear chiral magnetic field and thermodynamic gradient. We further derive low-energy transport formulas and demonstrate the importance of carefully treating the ultraviolet cutoff for understanding our lattice calculations.
format Preprint
id arxiv_https___arxiv_org_abs_2409_09025
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Inverse Spin Hall Effect in Nonequilibrium Dirac Systems Induced by Anomalous Flow Imbalance
Teh, Hung-Hsuan
Numasawa, Tokiro
Okumura, Shun
Oka, Takashi
Mesoscale and Nanoscale Physics
Materials Science
High Energy Physics - Lattice
We study Dirac fermions in the presence of a space-dependent chiral gauge field and thermodynamic gradients, establishing a connection to the inverse spin Hall effect. The chiral gauge field induces a chiral magnetic field, resulting in a surface Fermi arc state and a chiral Landau level state which, although is delocalized in the bulk, we show to be more robust against impurities. By applying chemical potential and temperature gradients, we achieve nonzero charge currents, with each gradient leading to distinct Fermi level dependencies, both of which have been observed in a recent experiment. Unlike the conventional mixed axial-gravitational anomaly, our currents require a noncollinear chiral magnetic field and thermodynamic gradient. We further derive low-energy transport formulas and demonstrate the importance of carefully treating the ultraviolet cutoff for understanding our lattice calculations.
title Inverse Spin Hall Effect in Nonequilibrium Dirac Systems Induced by Anomalous Flow Imbalance
topic Mesoscale and Nanoscale Physics
Materials Science
High Energy Physics - Lattice
url https://arxiv.org/abs/2409.09025