Intrinsic anomalous thermal hall effect as a signature of quantum metric in d-wave altermagnets

Fuente: arXiv
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Autori principali: Gopalakrishnan, Rishi G., Korrapati, Srimayi, Tewari, Sumanta
Natura: Preprint
Pubblicazione: 2026
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author Gopalakrishnan, Rishi G.
Korrapati, Srimayi
Tewari, Sumanta
author_facet Gopalakrishnan, Rishi G.
Korrapati, Srimayi
Tewari, Sumanta
contents We investigate the intrinsic anomalous thermal Hall effect in d-wave altermagnets, where a transverse heat current is generated by a longitudinal temperature gradient in the absence of a magnetic field, with the leading response proportional to $(\nabla T)^3$. In these systems, the intrinsic Berry curvature-driven linear and thermal quantum-metric-driven second-order anomalous thermal Hall currents vanish as a consequence of crystalline symmetry. We show that the first nonvanishing contribution arises at third order in the temperature gradient and is governed by a nonlinear thermal Berry-connection polarizability, a quantity introduced in this work. Our analysis reveals a distinctive angular dependence of the anomalous thermal Hall conductance as the applied thermal gradient is rotated with respect to the crystal axes. We also find characteristic temperature and chemical-potential dependences that can be tested experimentally. These results identify unique quantum geometry-induced thermal responses and establish altermagnets as a promising platform for exploring intrinsic (i.e., scattering-time-independent) geometric transport phenomena.
format Preprint
id arxiv_https___arxiv_org_abs_2604_28184
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Intrinsic anomalous thermal hall effect as a signature of quantum metric in d-wave altermagnets
Gopalakrishnan, Rishi G.
Korrapati, Srimayi
Tewari, Sumanta
Mesoscale and Nanoscale Physics
We investigate the intrinsic anomalous thermal Hall effect in d-wave altermagnets, where a transverse heat current is generated by a longitudinal temperature gradient in the absence of a magnetic field, with the leading response proportional to $(\nabla T)^3$. In these systems, the intrinsic Berry curvature-driven linear and thermal quantum-metric-driven second-order anomalous thermal Hall currents vanish as a consequence of crystalline symmetry. We show that the first nonvanishing contribution arises at third order in the temperature gradient and is governed by a nonlinear thermal Berry-connection polarizability, a quantity introduced in this work. Our analysis reveals a distinctive angular dependence of the anomalous thermal Hall conductance as the applied thermal gradient is rotated with respect to the crystal axes. We also find characteristic temperature and chemical-potential dependences that can be tested experimentally. These results identify unique quantum geometry-induced thermal responses and establish altermagnets as a promising platform for exploring intrinsic (i.e., scattering-time-independent) geometric transport phenomena.
title Intrinsic anomalous thermal hall effect as a signature of quantum metric in d-wave altermagnets
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2604.28184