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T-Linear resistivity from an isotropic planckian scattering rate

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Grissonnanche, Gaël, Fang, Yawen, Legros, Anaëlle, Verret, Simon, Laliberte, Francis, Collignon, Clément, Zhou, Jianshi, Graf, David, Goddard, Paul, Taillefer, Louis and Ramshaw, B. J. (2021) T-Linear resistivity from an isotropic planckian scattering rate. Nature, 595 . pp. 667-672. doi:10.1038/s41586-021-03697-8 ISSN 0028-0836.

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Official URL: https://doi.org/10.1038/s41586-021-03697-8

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Abstract

A variety of ‘strange metals’ exhibit resistivity that decreases linearly with temperature as the temperature decreases to zero1,2,3, in contrast to conventional metals where resistivity decreases quadratically with temperature. This linear-in-temperature resistivity has been attributed to charge carriers scattering at a rate given by ħ/τ = αkBT, where α is a constant of order unity, ħ is the Planck constant and kB is the Boltzmann constant. This simple relationship between the scattering rate and temperature is observed across a wide variety of materials, suggesting a fundamental upper limit on scattering—the ‘Planckian limit’4,5—but little is known about the underlying origins of this limit. Here we report a measurement of the angle-dependent magnetoresistance of La1.6−xNd0.4SrxCuO4—a hole-doped cuprate that shows linear-in-temperature resistivity down to the lowest measured temperatures6. The angle-dependent magnetoresistance shows a well defined Fermi surface that agrees quantitatively with angle-resolved photoemission spectroscopy measurements7 and reveals a linear-in-temperature scattering rate that saturates at the Planckian limit, namely α = 1.2 ± 0.4. Remarkably, we find that this Planckian scattering rate is isotropic, that is, it is independent of direction, in contrast to expectations from ‘hotspot’ models8,9. Our findings suggest that linear-in-temperature resistivity in strange metals emerges from a momentum-independent inelastic scattering rate that reaches the Planckian limit.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science, Engineering and Medicine > Science > Physics
Library of Congress Subject Headings (LCSH): Condensed matter, Superconductivity, Particles (Nuclear physics)
Journal or Publication Title: Nature
Publisher: Nature Publishing
ISSN: 0028-0836
Official Date: 29 July 2021
Dates:
DateEvent
29 July 2021Published
28 July 2021Available
3 June 2021Accepted
Volume: 595
Page Range: pp. 667-672
DOI: 10.1038/s41586-021-03697-8
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 4 June 2021
Date of first compliant Open Access: 28 January 2022
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
DMR-1644779National Science Foundationhttp://dx.doi.org/10.13039/501100008982
UNSPECIFIEDFlorida Department of Statehttp://dx.doi.org/10.13039/100015013
681260H2020 European Research Councilhttp://dx.doi.org/10.13039/100010663
MRSEC DMR-1720595National Science Foundationhttp://dx.doi.org/10.13039/501100008982
UNSPECIFIEDCanadian Institute for Advanced Researchhttp://dx.doi.org/10.13039/100007631
PIN: 123817[NSERC] Natural Sciences and Engineering Research Council of Canadahttp://dx.doi.org/10.13039/501100000038
UNSPECIFIEDFonds de recherche du Québec – Nature et technologieshttp://viaf.org/viaf/128959087
UNSPECIFIED[CFI] Canada Foundation for Innovationhttp://dx.doi.org/10.13039/501100000196
UNSPECIFIEDCanada Research Chairshttp://dx.doi.org/10.13039/501100001804
GBMF5306Gordon and Betty Moore Foundationhttp://dx.doi.org/10.13039/100000936
DMR-1752784National Science Foundationhttp://dx.doi.org/10.13039/501100008982
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