Divergent spin conductivity on the verge of ferromagnetic quantum criticality

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Hauptverfasser: Lundemo, Sondre Duna, Sudbø, Asle
Format: Preprint
Veröffentlicht: 2026
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author Lundemo, Sondre Duna
Sudbø, Asle
author_facet Lundemo, Sondre Duna
Sudbø, Asle
contents We show that the spin conductivity of a metal approaching a ferromagnetic quantum critical point exhibits divergent fluctuation corrections. This effect arises from critical spin fluctuations and constitutes a spin analog of the Aslamazov-Larkin theory of paraconductivity in superconductors. The spin current is derived in linear response within a Gaussian-level treatment of the effective action for a system with easy-plane magnetic anisotropy. We demonstrate the consistency of our spin transport theory by showing that it (i) fulfills the Ward identity and (ii) yields vanishing spin stiffness in the normal state. The critical enhancement of the spin conductivity is interpreted as incipient spin superfluidity in the quantum critical region. This is further supported by an intuitive picture based on the current-loop representation of the easy-plane ferromagnet.
format Preprint
id arxiv_https___arxiv_org_abs_2604_14286
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Divergent spin conductivity on the verge of ferromagnetic quantum criticality
Lundemo, Sondre Duna
Sudbø, Asle
Strongly Correlated Electrons
We show that the spin conductivity of a metal approaching a ferromagnetic quantum critical point exhibits divergent fluctuation corrections. This effect arises from critical spin fluctuations and constitutes a spin analog of the Aslamazov-Larkin theory of paraconductivity in superconductors. The spin current is derived in linear response within a Gaussian-level treatment of the effective action for a system with easy-plane magnetic anisotropy. We demonstrate the consistency of our spin transport theory by showing that it (i) fulfills the Ward identity and (ii) yields vanishing spin stiffness in the normal state. The critical enhancement of the spin conductivity is interpreted as incipient spin superfluidity in the quantum critical region. This is further supported by an intuitive picture based on the current-loop representation of the easy-plane ferromagnet.
title Divergent spin conductivity on the verge of ferromagnetic quantum criticality
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2604.14286