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:
-
- Univ. of Amsterdam (Netherlands)
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- 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. doi: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}
}
Web of Science
Figures / Tables:

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Fermi pockets and quantum oscillations of the Hall coefficient in high temperature superconductors
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Phenomenology of the normal state in-plane transport properties of high-$T_c$ cuprates
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Spin dynamics in the pseudogap state of a high-temperature superconductor
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Fermi-surface reconstruction in a smectic phase of a high temperature superconductor
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Stripes in the two-dimensional t-J model with infinite projected entangled-pair states
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Pair-Density-Wave Superconducting Order in Two-Leg Ladders
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Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
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Quantum oscillations in a biaxial pair density wave state
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Magnetic-field Induced Pair Density Wave State in the Cuprate Vortex Halo
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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
- Solovjov, A. L.; Omelchenko, L. V.; Petrenko, E. V.
- Scientific Reports, Vol. 9, Issue 1
Modeling the pseudogap metallic state in cuprates: Quantum disordered pair density wave
journal, February 2020
- Dai, Zhehao; Senthil, T.; Lee, Patrick A.
- Physical Review B, Vol. 101, Issue 6
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