How heat propagates in liquid 3He

Abstract In Landau’s Fermi liquid picture, transport is governed by scattering between quasi-particles. The normal liquid 3He conforms to this picture but only at very low temperature. Here, we show that the deviation from the standard behavior is concomitant with the fermion-fermion scattering time...

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Main Authors: Kamran Behnia, Kostya Trachenko
Format: Article
Language:English
Published: Nature Portfolio 2024-02-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-024-46079-0
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author Kamran Behnia
Kostya Trachenko
author_facet Kamran Behnia
Kostya Trachenko
author_sort Kamran Behnia
collection DOAJ
description Abstract In Landau’s Fermi liquid picture, transport is governed by scattering between quasi-particles. The normal liquid 3He conforms to this picture but only at very low temperature. Here, we show that the deviation from the standard behavior is concomitant with the fermion-fermion scattering time falling below the Planckian time, $$\frac{\hslash }{{k}_{{{{{{{{\rm{B}}}}}}}}}T}$$ ℏ k B T and the thermal diffusivity of this quantum liquid is bounded by a minimum set by fundamental physical constants and observed in classical liquids. This points to collective excitations (a sound mode) as carriers of heat. We propose that this mode has a wavevector of 2k F and a mean free path equal to the de Broglie thermal length. This would provide an additional conducting channel with a T  1/2 temperature dependence, matching what is observed by experiments. The experimental data from 0.007 K to 3 K can be accounted for, with a margin of 10%, if thermal conductivity is the sum of two contributions: one by quasi-particles (varying as the inverse of temperature) and another by sound (following the square root of temperature).
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spelling doaj.art-afb74616c45e4fa8ae69e5ec0dee46392024-03-05T19:32:37ZengNature PortfolioNature Communications2041-17232024-02-011511710.1038/s41467-024-46079-0How heat propagates in liquid 3HeKamran Behnia0Kostya Trachenko1Laboratoire de Physique et d’Étude des Matériaux, (ESPCI - CNRS - Sorbonne Université), PSL Research UniversitySchool of Physical and Chemical Sciences, Queen Mary University of LondonAbstract In Landau’s Fermi liquid picture, transport is governed by scattering between quasi-particles. The normal liquid 3He conforms to this picture but only at very low temperature. Here, we show that the deviation from the standard behavior is concomitant with the fermion-fermion scattering time falling below the Planckian time, $$\frac{\hslash }{{k}_{{{{{{{{\rm{B}}}}}}}}}T}$$ ℏ k B T and the thermal diffusivity of this quantum liquid is bounded by a minimum set by fundamental physical constants and observed in classical liquids. This points to collective excitations (a sound mode) as carriers of heat. We propose that this mode has a wavevector of 2k F and a mean free path equal to the de Broglie thermal length. This would provide an additional conducting channel with a T  1/2 temperature dependence, matching what is observed by experiments. The experimental data from 0.007 K to 3 K can be accounted for, with a margin of 10%, if thermal conductivity is the sum of two contributions: one by quasi-particles (varying as the inverse of temperature) and another by sound (following the square root of temperature).https://doi.org/10.1038/s41467-024-46079-0
spellingShingle Kamran Behnia
Kostya Trachenko
How heat propagates in liquid 3He
Nature Communications
title How heat propagates in liquid 3He
title_full How heat propagates in liquid 3He
title_fullStr How heat propagates in liquid 3He
title_full_unstemmed How heat propagates in liquid 3He
title_short How heat propagates in liquid 3He
title_sort how heat propagates in liquid 3he
url https://doi.org/10.1038/s41467-024-46079-0
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