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

Abstract

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.

Authors:
 [1];  [2];  [3]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States); ETH Zurich, Zurich (Switzerland)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States); Univ. of Amsterdam, Amsterdam (The Netherlands)
  3. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1412778
Alternate Identifier(s):
OSTI ID: 1412616
Report Number(s):
BNL-114800-2017-JA
Journal ID: ISSN 2469-9950; PRBMDO; R&D Project: PO015; KC0202030; TRN: US1800359
Grant/Contract Number:  
SC0012704
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 22; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Rice, T. Maurice, Robinson, Neil J., and Tsvelik, Alexei M. Umklapp scattering as the origin of T-linear resistivity in the normal state of high-Tc cuprate superconductors. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.220502.
Rice, T. Maurice, Robinson, Neil J., & Tsvelik, Alexei M. Umklapp scattering as the origin of T-linear resistivity in the normal state of high-Tc cuprate superconductors. United States. https://doi.org/10.1103/PhysRevB.96.220502
Rice, T. Maurice, Robinson, Neil J., and Tsvelik, Alexei M. Mon . "Umklapp scattering as the origin of T-linear resistivity in the normal state of high-Tc cuprate superconductors". United States. https://doi.org/10.1103/PhysRevB.96.220502. https://www.osti.gov/servlets/purl/1412778.
@article{osti_1412778,
title = {Umklapp scattering as the origin of T-linear resistivity in the normal state of high-Tc cuprate superconductors},
author = {Rice, T. Maurice and Robinson, Neil J. and Tsvelik, Alexei M.},
abstractNote = {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.},
doi = {10.1103/PhysRevB.96.220502},
journal = {Physical Review B},
number = 22,
volume = 96,
place = {United States},
year = {Mon Dec 11 00:00:00 EST 2017},
month = {Mon Dec 11 00:00:00 EST 2017}
}

Journal Article:

Citation Metrics:
Cited by: 17 works
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Figures / Tables:

FIG. 1 FIG. 1: Umore » mklapp scattering processes (RRLL) for right-moving electrons at the Fermi points (gray circles) in the one-dimensional 12-filled two-leg Hubbard ladder.« less

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Works referencing / citing this record:

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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.