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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 Lab. (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. doi: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. doi: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 = {2017},
month = {12}
}

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Free Publicly Available Full Text
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Cited by: 5 works
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Figures / Tables:

Figure 1 Figure 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 referenced in this record:

Flow to strong coupling in the two-dimensional Hubbard model
journal, May 2002

  • Honerkamp, C.; Salmhofer, M.; Rice, T. M.
  • The European Physical Journal B - Condensed Matter, Vol. 27, Issue 1
  • DOI: 10.1140/epjb/e20020137

Resistivity study of Bi 2 Sr 2 Ca 1 x Y x Cu 2 O 8 single crystals
journal, June 1992


Exact zero-temperature correlation functions for two-leg Hubbard ladders and carbon nanotubes
journal, September 2001


Mobility of the Doped Holes and the Antiferromagnetic Correlations in Underdoped High- T c Cuprates
journal, June 2001


Violation of Kohler's Rule in the Normal-State Magnetoresistance of YBa 2 Cu 3 O 7 δ and La 2 Sr x CuO 4
journal, August 1995


Hole and pair structures in the t-J model
journal, March 1997


Systematic evolution of temperature-dependent resistivity in La 2 x Sr x CuO 4
journal, November 1992


Microscopic Origin of Ideal Conductivity in Integrable Quantum Models
journal, July 2017


Excitation spectrum of doped two-leg ladders: A field theory analysis
journal, July 2005


Constraints on Models of Electrical Transport in Optimally Doped La2−x Sr x CuO4 from Measurements of Radiation-Induced Defect Resistance
journal, September 2009

  • Clayhold, J. A.; Pelleg, O.; Ingram, D. C.
  • Journal of Superconductivity and Novel Magnetism, Vol. 23, Issue 3
  • DOI: 10.1007/s10948-009-0580-8

Two-leg ladders and carbon nanotubes: Exact properties at finite doping
journal, February 2000


Conductivity of a Clean One-Dimensional Wire
journal, July 2000


Band-Structure Effects in Itinerant Antiferromagnetism
journal, November 1970


Finite wave vector pairing in doped two-leg ladders
journal, May 2012


Ioffe-Regel criterion and resistivity of metals
journal, December 1981


Surprises on the Way from One- to Two-Dimensional Quantum Magnets: The Ladder Materials
journal, February 1996


Linear temperature dependence of the transverse electrical resistivity of organic metals arising from electron-electron umklapp scattering
journal, December 1993


Phenomenology of the normal state in-plane transport properties of high- T c cuprates
journal, February 2008


Observation of resistivity saturation below 300 K in Y-doped Bi2Sr2CaCu2Oy single crystals
journal, May 1996


Universal sheet resistance and revised phase diagram of the cuprate high-temperature superconductors
journal, July 2013

  • Barisic, N.; Chan, M. K.; Li, Y.
  • Proceedings of the National Academy of Sciences, Vol. 110, Issue 30
  • DOI: 10.1073/pnas.1301989110

Violation of Ioffe-Regel condition but saturation of resistivity of the high- T c cuprates
journal, January 2003


Weak-coupling phase diagram of the two-chain Hubbard model
journal, May 1996


The Basis of the Electron Theory of Metals, with Special Reference to the Transition Metals
journal, July 1949


Alternating superconductor-insulator transport characteristics in a quantum vortex chain
journal, April 2012


Y 89 NMR Study of the Pauli Susceptibility of the Cu O 2 Planes in Y Ba 2 Cu 3 O 6 + x
journal, August 1988


New insights into the phase diagram of the copper oxide superconductors from electronic Raman scattering
journal, February 2013


Angle-resolved photoemission studies of the cuprate superconductors
journal, April 2003

  • Damascelli, Andrea; Hussain, Zahid; Shen, Zhi-Xun
  • Reviews of Modern Physics, Vol. 75, Issue 2
  • DOI: 10.1103/RevModPhys.75.473

The doping dependence of T* – what is the real high-Tc phase diagram?
journal, January 2001


Experiments on ladders reveal a complex interplay between a spin-gapped normal state and superconductivity
journal, November 1999


Resistivity of La 1.825 Sr 0.175 CuO 4 and YBa 2 Cu 3 O 7 to 1100 K: Absence of saturation and its implications
journal, September 1987


A phenomenological theory of the anomalous pseudogap phase in underdoped cuprates
journal, December 2011


Superconductivity in ladders and coupled planes
journal, March 1992


In-plane and out-of-plane magnetoresistance in La 2 x Sr x CuO 4 single crystals
journal, April 1996


Magnetic response in the underdoped cuprates
journal, September 2012


Pseudogap from ARPES experiment: Three gaps in cuprates and topological superconductivity (Review Article)
journal, May 2015


Finite Temperature Drude Weight of the One-Dimensional Spin- 1 / 2 Heisenberg Model
journal, February 1999


Numerical study of charge transport of overdoped La 2 x Sr x CuO 4 within semiclassical Boltzmann transport theory
journal, January 2013


Conduction in non-crystalline systems IX. the minimum metallic conductivity
journal, October 1972


Linear temperature dependence of resistivity and change in the Fermi surface at the pseudogap critical point of a high-Tc superconductor
journal, November 2008

  • Daou, R.; Doiron-Leyraud, Nicolas; LeBoeuf, David
  • Nature Physics, Vol. 5, Issue 1
  • DOI: 10.1038/nphys1109

Transformation of the superconducting gap to an insulating pseudogap at a critical hole density in the cuprates
journal, July 2017


Integrability and Ideal Conductance at Finite Temperatures
journal, February 1995


Reconstructed Fermi Surface of Underdoped Bi 2 Sr 2 CaCu 2 O 8 + δ Cuprate Superconductors
journal, July 2011


Frequency- and temperature-dependent conductivity in YBa 2 Cu 3 O 6 + x crystals
journal, October 1990


The Fermi gas model of one-dimensional conductors
journal, April 1979


Pairing and excitation spectrum in doped t - J ladders
journal, June 1994


The pseudogap in high-temperature superconductors: an experimental survey
journal, January 1999


Umklapp process and resistivity in one-dimensional fermion systems
journal, August 1991


d -Mott Phases in One and Two Dimensions
journal, January 2004


Controlling Feynman diagrammatic expansions: Physical nature of the pseudogap in the two-dimensional Hubbard model
journal, July 2017


Photoemission Studies of the Pseudogap Regime in the High T c Cuprate Phase Diagram
journal, July 2013


Ladder physics in the spin fermion model
journal, May 2017


Interplay of the scaling limit and the renormalization group:  Implications for symmetry restoration
journal, August 2002


Phenomenological theory of the pseudogap state
journal, May 2006


Cuprate phase diagram and the influence of nanoscale inhomogeneities
journal, November 2017


Hall effect and Fermi surface reconstruction via electron pockets in the high-T c cuprates
journal, January 2016


Doped Spin Liquid: Luttinger Sum Rule and Low Temperature Order
journal, March 2006


Metal-Insulator Transition
journal, October 1968


Auxiliary fermion approach to the resonant inelastic x-ray scattering response in an underdoped cuprate
journal, October 2017


Doping a Mott insulator: Physics of high-temperature superconductivity
journal, January 2006

  • Lee, Patrick A.; Nagaosa, Naoto; Wen, Xiao-Gang
  • Reviews of Modern Physics, Vol. 78, Issue 1
  • DOI: 10.1103/RevModPhys.78.17

Experimental evidence versus exchange theory of resistivity saturation
journal, July 1983


dc resistivity at the onset of spin density wave order in two-dimensional metals
journal, October 2014


A global inversion-symmetry-broken phase inside the pseudogap region of YBa2Cu3Oy
journal, November 2016

  • Zhao, L.; Belvin, C. A.; Liang, R.
  • Nature Physics, Vol. 13, Issue 3
  • DOI: 10.1038/nphys3962

Normal-state transport properties of slightly overdoped Y Ba 2 Cu 3 O y crystals prepared by a crystal-pulling technique
journal, December 1995


Exact SO(8) symmetry in the weakly-interacting two-leg ladder
journal, July 1998


Properties of lightly doped t - J two-leg ladders
journal, January 1996

  • Troyer, Matthias; Tsunetsugu, Hirokazu; Rice, T. M.
  • Physical Review B, Vol. 53, Issue 1
  • DOI: 10.1103/PhysRevB.53.251

Pair-density-wave superconducting order in two-leg ladders
journal, January 2012


Superconductivity generated by coupling to a cooperon in a two-dimensional array of four-leg Hubbard ladders
journal, August 2010


Ballistic transport in the one-dimensional Hubbard model: The hydrodynamic approach
journal, August 2017


Scanning tunneling spectroscopy of high-temperature superconductors
journal, March 2007

  • Fischer, Øystein; Kugler, Martin; Maggio-Aprile, Ivan
  • Reviews of Modern Physics, Vol. 79, Issue 1
  • DOI: 10.1103/RevModPhys.79.353

Breakdown of the Landau-Fermi liquid in two dimensions due to umklapp scattering
journal, January 2001


    Works referencing / citing this record:

    Excess resistivity in graphene superlattices caused by umklapp electron–electron scattering
    journal, October 2018


    Anomalies in the pseudogap phase of the cuprates: competing ground states and the role of umklapp scattering
    journal, October 2019

    • Robinson, Neil J.; Johnson, Peter D.; Rice, T. Maurice
    • Reports on Progress in Physics, Vol. 82, Issue 12
    • DOI: 10.1088/1361-6633/ab31ed

    Moiré-pattern fluctuations and electron-phason coupling in twisted bilayer graphene
    journal, October 2019


    Epitaxial strain modulated electronic properties of interface controlled nickelate superlattices
    journal, July 2018


    Gauge theory for the cuprates near optimal doping
    journal, February 2019


    Unusual behavior of cuprates explained by heterogeneous charge localization
    journal, January 2019


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