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

Rice, T. Maurice; Robinson, Neil J.; Tsvelik, Alexei M.

doi:10.1103/PhysRevB.96.220502

Title: Umklapp scattering as the origin of $T$ -linear resistivity in the normal state of high- $T_{c}$ cuprate superconductors

Journal Article · Mon Dec 11 00:00:00 EST 2017 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.96.220502· OSTI ID:1412778

Rice, T. Maurice ^[1]; Robinson, Neil J. ^[2]; Tsvelik, Alexei M. ^[3]

Brookhaven National Lab. (BNL), Upton, NY (United States); ETH Zurich, Zurich (Switzerland)
Brookhaven National Lab. (BNL), Upton, NY (United States); Univ. of Amsterdam, Amsterdam (The Netherlands)
Brookhaven National Lab. (BNL), Upton, NY (United States)

Here, 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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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0012704

OSTI ID:: 1412778

Alternate ID(s):: OSTI ID: 1412616

Report Number(s):: BNL-114800-2017-JA; PRBMDO; R&D Project: PO015; KC0202030; TRN: US1800359

Journal Information:: Physical Review B, Vol. 96, Issue 22; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 17 works

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