Thermodynamics and transport of holographic nodal line semimetals

Abstract We study various thermodynamic and transport properties of a holographic model of a nodal line semimetal (NLSM) at finite temperature, including the quantum phase transition to a topologically trivial phase, with Dirac semimetal-like conductivity. At zero temperature, composite fermion spec...

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Autores principales:	Ronnie Rodgers, Enea Mauri, Umut Gürsoy, Henk T.C. Stoof
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/8bcb0b28605443758391f582a92dba8c
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spelling	oai:doaj.org-article:8bcb0b28605443758391f582a92dba8c2021-11-28T12:39:13ZThermodynamics and transport of holographic nodal line semimetals10.1007/JHEP11(2021)1911029-8479https://doaj.org/article/8bcb0b28605443758391f582a92dba8c2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)191https://doaj.org/toc/1029-8479Abstract We study various thermodynamic and transport properties of a holographic model of a nodal line semimetal (NLSM) at finite temperature, including the quantum phase transition to a topologically trivial phase, with Dirac semimetal-like conductivity. At zero temperature, composite fermion spectral functions obtained from holography are known to exhibit multiple Fermi surfaces. Similarly, for the holographic NLSM we observe multiple nodal lines instead of just one. We show, however, that as the temperature is raised these nodal lines broaden and disappear into the continuum one by one, so there is a finite range of temperatures for which there is only a single nodal line visible in the spectrum. We compute several transport coefficients in the holographic NLSM as a function of temperature, namely the charge and thermal conductivities, and the shear viscosities. By adding a new non-linear coupling to the model we are able to control the low frequency limit of the electrical conductivity in the direction orthogonal to the plane of the nodal line, allowing us to better match the conductivity of real NLSMs. The boundary quantum field theory is anisotropic and therefore has explicitly broken Lorentz invariance, which leads to a stress tensor that is not symmetric. This has important consequences for the energy and momentum transport: the thermal conductivity at vanishing charge density is not simply fixed by a Ward identity, and there are a much larger number of independent shear viscosities than in a Lorentz-invariant system.Ronnie RodgersEnea MauriUmut GürsoyHenk T.C. StoofSpringerOpenarticleAdS-CFT CorrespondenceGauge-gravity correspondenceHolography and condensed matter physics (AdS/CMT)Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-62 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Ronnie Rodgers Enea Mauri Umut Gürsoy Henk T.C. Stoof Thermodynamics and transport of holographic nodal line semimetals
description	Abstract We study various thermodynamic and transport properties of a holographic model of a nodal line semimetal (NLSM) at finite temperature, including the quantum phase transition to a topologically trivial phase, with Dirac semimetal-like conductivity. At zero temperature, composite fermion spectral functions obtained from holography are known to exhibit multiple Fermi surfaces. Similarly, for the holographic NLSM we observe multiple nodal lines instead of just one. We show, however, that as the temperature is raised these nodal lines broaden and disappear into the continuum one by one, so there is a finite range of temperatures for which there is only a single nodal line visible in the spectrum. We compute several transport coefficients in the holographic NLSM as a function of temperature, namely the charge and thermal conductivities, and the shear viscosities. By adding a new non-linear coupling to the model we are able to control the low frequency limit of the electrical conductivity in the direction orthogonal to the plane of the nodal line, allowing us to better match the conductivity of real NLSMs. The boundary quantum field theory is anisotropic and therefore has explicitly broken Lorentz invariance, which leads to a stress tensor that is not symmetric. This has important consequences for the energy and momentum transport: the thermal conductivity at vanishing charge density is not simply fixed by a Ward identity, and there are a much larger number of independent shear viscosities than in a Lorentz-invariant system.
format	article
author	Ronnie Rodgers Enea Mauri Umut Gürsoy Henk T.C. Stoof
author_facet	Ronnie Rodgers Enea Mauri Umut Gürsoy Henk T.C. Stoof
author_sort	Ronnie Rodgers
title	Thermodynamics and transport of holographic nodal line semimetals
title_short	Thermodynamics and transport of holographic nodal line semimetals
title_full	Thermodynamics and transport of holographic nodal line semimetals
title_fullStr	Thermodynamics and transport of holographic nodal line semimetals
title_full_unstemmed	Thermodynamics and transport of holographic nodal line semimetals
title_sort	thermodynamics and transport of holographic nodal line semimetals
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/8bcb0b28605443758391f582a92dba8c
work_keys_str_mv	AT ronnierodgers thermodynamicsandtransportofholographicnodallinesemimetals AT eneamauri thermodynamicsandtransportofholographicnodallinesemimetals AT umutgursoy thermodynamicsandtransportofholographicnodallinesemimetals AT henktcstoof thermodynamicsandtransportofholographicnodallinesemimetals
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Thermodynamics and transport of holographic nodal line semimetals

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