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Main Authors: Sato, Takumi, Hayami, Satoru
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2603.29267
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author Sato, Takumi
Hayami, Satoru
author_facet Sato, Takumi
Hayami, Satoru
contents Multipoles provide a systematic framework for describing the electronic structures of quantum materials from a symmetry perspective. Thermodynamic multipole moments in crystalline solids exhibit direct microscopic connections to certain allowed physical responses beyond symmetry; however, such relations have thus far been limited to dissipationless responses in equilibrium insulating systems. Here, this framework is extended at a heuristic level by focusing on the Fermi-surface contributions to thermodynamic multipole moments. These contributions establish direct relations to dissipative transport responses characteristic of metals, including charge and spin conductivities. A key consequence is that the conductivities exhibit extrema, typically maxima, at chemical potentials where the corresponding Fermi-surface contributions to the multipoles vanish, specifically, the electric quadrupole for charge conductivity and the magnetic octupole for spin conductivity. These findings uncover a previously overlooked aspect of thermodynamic multipole moments, opening a new perspective on dissipative transport in metallic systems.
format Preprint
id arxiv_https___arxiv_org_abs_2603_29267
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Thermodynamic Multipoles and Dissipative Conductivities in Metallic Systems
Sato, Takumi
Hayami, Satoru
Mesoscale and Nanoscale Physics
Multipoles provide a systematic framework for describing the electronic structures of quantum materials from a symmetry perspective. Thermodynamic multipole moments in crystalline solids exhibit direct microscopic connections to certain allowed physical responses beyond symmetry; however, such relations have thus far been limited to dissipationless responses in equilibrium insulating systems. Here, this framework is extended at a heuristic level by focusing on the Fermi-surface contributions to thermodynamic multipole moments. These contributions establish direct relations to dissipative transport responses characteristic of metals, including charge and spin conductivities. A key consequence is that the conductivities exhibit extrema, typically maxima, at chemical potentials where the corresponding Fermi-surface contributions to the multipoles vanish, specifically, the electric quadrupole for charge conductivity and the magnetic octupole for spin conductivity. These findings uncover a previously overlooked aspect of thermodynamic multipole moments, opening a new perspective on dissipative transport in metallic systems.
title Thermodynamic Multipoles and Dissipative Conductivities in Metallic Systems
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2603.29267