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Umklapp scattering as the origin of T-linear resistivity in the normal state of high-Tc cuprate superconductors

T. Maurice Rice, Neil J. Robinson, and Alexei M. Tsvelik
Phys. Rev. B 96, 220502(R) – Published 11 December 2017
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Abstract

The high-temperature normal state of the unconventional cuprate superconductors has resistivity linear in temperature T, which persists to values well beyond the Mott-Ioffe-Regel upper bound. At low temperatures, within the pseudogap phase, the resistivity is instead quadratic in T, as would be expected from Fermi liquid theory. Developing an understanding of these normal phases of the cuprates is crucial to explain the unconventional superconductivity. We present a simple explanation for this behavior, in terms of the umklapp scattering of electrons. This fits within the general picture emerging from functional renormalization group calculations that spurred the Yang-Rice-Zhang ansatz: Umklapp scattering is at the heart of the behavior in the normal phase.

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  • Received 18 July 2017

DOI:https://doi.org/10.1103/PhysRevB.96.220502

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

T. Maurice Rice1,2, Neil J. Robinson1,3, and Alexei M. Tsvelik1

  • 1Condensed Matter Physics & Materials Science Division, Brookhaven National Laboratory, Upton, New York 11973-5000, USA
  • 2Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland
  • 3Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands

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Issue

Vol. 96, Iss. 22 — 1 December 2017

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