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Title: Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering

Abstract

Over the past two decades, improvements in computational algorithms have shown a curious property of the two-dimensional Hubbard model (and related theories) with hole doping: the presence of close-in-energy competing ground states that display very different physical properties. Firstly, there is a complicated state exhibiting intertwined spin, charge, and pair density wave orders. We call this 'type A'. In contrast, there is a uniform d-wave superconducting state that we denote as 'type B'. We advocate, with the support of both microscopic theoretical calculations and experimental data, dividing the high-temperature cuprate superconductors into two corresponding families, whose properties reflect either the type A or type B ground states at low temperatures. We review the anomalous properties of the pseudogap phase that led us to this picture, and present a modern perspective on the role that umklapp scattering plays in these phenomena in the type B materials. This reveals a consistent framework that has emerged over the last decade, in which Mott correlations at weak coupling drive the formation of the pseudogap. We discuss this development, recent theory and experiments, and open issues.

Authors:
ORCiD logo [1];  [2];  [3]; ORCiD logo [2]
  1. Univ. of Amsterdam (Netherlands)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
  3. Federal Inst. of Technology, Zurich (Switzerland)
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:
1543397
Report Number(s):
BNL-211814-2019-JAAM
Journal ID: ISSN 0034-4885
Grant/Contract Number:  
SC0012704
Resource Type:
Accepted Manuscript
Journal Name:
Reports on Progress in Physics
Additional Journal Information:
Journal Volume: 82; Journal Issue: 12; Journal ID: ISSN 0034-4885
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; high temperature superconductivity; cuprates; pseudogap; umklapp scattering

Citation Formats

Robinson, Neil J., Johnson, Peter D., Rice, T. Maurice, and Tsvelik, Alexei M. Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering. United States: N. p., 2019. Web. https://doi.org/10.1088/1361-6633/ab31ed.
Robinson, Neil J., Johnson, Peter D., Rice, T. Maurice, & Tsvelik, Alexei M. Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering. United States. https://doi.org/10.1088/1361-6633/ab31ed
Robinson, Neil J., Johnson, Peter D., Rice, T. Maurice, and Tsvelik, Alexei M. Sat . "Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering". United States. https://doi.org/10.1088/1361-6633/ab31ed. https://www.osti.gov/servlets/purl/1543397.
@article{osti_1543397,
title = {Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering},
author = {Robinson, Neil J. and Johnson, Peter D. and Rice, T. Maurice and Tsvelik, Alexei M.},
abstractNote = {Over the past two decades, improvements in computational algorithms have shown a curious property of the two-dimensional Hubbard model (and related theories) with hole doping: the presence of close-in-energy competing ground states that display very different physical properties. Firstly, there is a complicated state exhibiting intertwined spin, charge, and pair density wave orders. We call this 'type A'. In contrast, there is a uniform d-wave superconducting state that we denote as 'type B'. We advocate, with the support of both microscopic theoretical calculations and experimental data, dividing the high-temperature cuprate superconductors into two corresponding families, whose properties reflect either the type A or type B ground states at low temperatures. We review the anomalous properties of the pseudogap phase that led us to this picture, and present a modern perspective on the role that umklapp scattering plays in these phenomena in the type B materials. This reveals a consistent framework that has emerged over the last decade, in which Mott correlations at weak coupling drive the formation of the pseudogap. We discuss this development, recent theory and experiments, and open issues.},
doi = {10.1088/1361-6633/ab31ed},
journal = {Reports on Progress in Physics},
number = 12,
volume = 82,
place = {United States},
year = {2019},
month = {7}
}

Journal Article:
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Cited by: 6 works
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Figures / Tables:

Figure 1 Figure 1: Competition between stripe states with period of λ lattice sites and the uniform d-wave superconducting state in the two-dimensional Hubbard model with U/t = 12. The energy difference per site between a plethora of stripe states and the uniform d-wave state is just ∆e/t ∼ 0.01. Results aremore » shown for a number of different computational techniques, discussed in detail later. Figure reproduced from (Zheng et al. 2017).« less

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    Works referencing / citing this record:

    Peculiarities of pseudogap in Y0.95Pr0.05Ba2Cu3O7−δ single crystals under pressure up to 1.7 GPa
    journal, December 2019


    Modeling the pseudogap metallic state in cuprates: Quantum disordered pair density wave
    journal, February 2020