Universal linear-temperature resistivity: possible quantum diffusion transport in strongly correlated superconductors

Abstract The strongly correlated electron fluids in high temperature cuprate superconductors demonstrate an anomalous linear temperature (T) dependent resistivity behavior, which persists to a wide temperature range without exhibiting saturation. As cooling down, those electron fluids lose the resis...

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Autores principales:	Tao Hu, Yinshang Liu, Hong Xiao, Gang Mu, Yi-feng Yang
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/437ce52df15742d0b6716783fed8e081
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spelling	oai:doaj.org-article:437ce52df15742d0b6716783fed8e0812021-12-02T15:05:45ZUniversal linear-temperature resistivity: possible quantum diffusion transport in strongly correlated superconductors10.1038/s41598-017-09792-z2045-2322https://doaj.org/article/437ce52df15742d0b6716783fed8e0812017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-09792-zhttps://doaj.org/toc/2045-2322Abstract The strongly correlated electron fluids in high temperature cuprate superconductors demonstrate an anomalous linear temperature (T) dependent resistivity behavior, which persists to a wide temperature range without exhibiting saturation. As cooling down, those electron fluids lose the resistivity and condense into the superfluid. However, the origin of the linear-T resistivity behavior and its relationship to the strongly correlated superconductivity remain a mystery. Here we report a universal relation $$d{\boldsymbol{\rho }}/{\boldsymbol{dT}}=({{\boldsymbol{\mu }}}_{{\bf{0}}}{{\boldsymbol{k}}}_{{\boldsymbol{B}}}/{\boldsymbol{\hslash }})\,{{\boldsymbol{\lambda }}}_{{\boldsymbol{L}}}^{{\bf{2}}}$$ d ρ / dT = ( μ 0 k B / ℏ ) λ L 2 , which bridges the slope of the linear-T-dependent resistivity (dρ/dT) to the London penetration depth λ L at zero temperature among cuprate superconductor Bi2Sr2CaCu2O8+δ and heavy fermion superconductors CeCoIn5, where μ 0 is vacuum permeability, k B is the Boltzmann constant and ħ is the reduced Planck constant. We extend this scaling relation to different systems and found that it holds for other cuprate, pnictide and heavy fermion superconductors as well, regardless of the significant differences in the strength of electronic correlations, transport directions, and doping levels. Our analysis suggests that the scaling relation in strongly correlated superconductors could be described as a hydrodynamic diffusive transport, with the diffusion coefficient (D) approaching the quantum limit D ~ ħ/m, where m is the quasi-particle effective mass.Tao HuYinshang LiuHong XiaoGang MuYi-feng YangNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-7 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Tao Hu Yinshang Liu Hong Xiao Gang Mu Yi-feng Yang Universal linear-temperature resistivity: possible quantum diffusion transport in strongly correlated superconductors
description	Abstract The strongly correlated electron fluids in high temperature cuprate superconductors demonstrate an anomalous linear temperature (T) dependent resistivity behavior, which persists to a wide temperature range without exhibiting saturation. As cooling down, those electron fluids lose the resistivity and condense into the superfluid. However, the origin of the linear-T resistivity behavior and its relationship to the strongly correlated superconductivity remain a mystery. Here we report a universal relation $$d{\boldsymbol{\rho }}/{\boldsymbol{dT}}=({{\boldsymbol{\mu }}}_{{\bf{0}}}{{\boldsymbol{k}}}_{{\boldsymbol{B}}}/{\boldsymbol{\hslash }})\,{{\boldsymbol{\lambda }}}_{{\boldsymbol{L}}}^{{\bf{2}}}$$ d ρ / dT = ( μ 0 k B / ℏ ) λ L 2 , which bridges the slope of the linear-T-dependent resistivity (dρ/dT) to the London penetration depth λ L at zero temperature among cuprate superconductor Bi2Sr2CaCu2O8+δ and heavy fermion superconductors CeCoIn5, where μ 0 is vacuum permeability, k B is the Boltzmann constant and ħ is the reduced Planck constant. We extend this scaling relation to different systems and found that it holds for other cuprate, pnictide and heavy fermion superconductors as well, regardless of the significant differences in the strength of electronic correlations, transport directions, and doping levels. Our analysis suggests that the scaling relation in strongly correlated superconductors could be described as a hydrodynamic diffusive transport, with the diffusion coefficient (D) approaching the quantum limit D ~ ħ/m, where m is the quasi-particle effective mass.
format	article
author	Tao Hu Yinshang Liu Hong Xiao Gang Mu Yi-feng Yang
author_facet	Tao Hu Yinshang Liu Hong Xiao Gang Mu Yi-feng Yang
author_sort	Tao Hu
title	Universal linear-temperature resistivity: possible quantum diffusion transport in strongly correlated superconductors
title_short	Universal linear-temperature resistivity: possible quantum diffusion transport in strongly correlated superconductors
title_full	Universal linear-temperature resistivity: possible quantum diffusion transport in strongly correlated superconductors
title_fullStr	Universal linear-temperature resistivity: possible quantum diffusion transport in strongly correlated superconductors
title_full_unstemmed	Universal linear-temperature resistivity: possible quantum diffusion transport in strongly correlated superconductors
title_sort	universal linear-temperature resistivity: possible quantum diffusion transport in strongly correlated superconductors
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/437ce52df15742d0b6716783fed8e081
work_keys_str_mv	AT taohu universallineartemperatureresistivitypossiblequantumdiffusiontransportinstronglycorrelatedsuperconductors AT yinshangliu universallineartemperatureresistivitypossiblequantumdiffusiontransportinstronglycorrelatedsuperconductors AT hongxiao universallineartemperatureresistivitypossiblequantumdiffusiontransportinstronglycorrelatedsuperconductors AT gangmu universallineartemperatureresistivitypossiblequantumdiffusiontransportinstronglycorrelatedsuperconductors AT yifengyang universallineartemperatureresistivitypossiblequantumdiffusiontransportinstronglycorrelatedsuperconductors
_version_	1718388699337588736

Universal linear-temperature resistivity: possible quantum diffusion transport in strongly correlated superconductors

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