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

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

doi:10.1088/1361-6633/ab31ed

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:

^[1]; Johnson, Peter D. ^[2]; Rice, T. Maurice ^[3];

^[2]

Univ. of Amsterdam (Netherlands)
Brookhaven National Lab. (BNL), Upton, NY (United States)
Federal Inst. of Technology, Zurich (Switzerland)

Publication Date:: 2019-07-13

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.

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                    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

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                    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.

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@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}

}

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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 »

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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
DOI: 10.1038/s41598-019-55959-1

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
DOI: 10.1103/physrevb.101.064502

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

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Complete solution of the one-dimensional Hubbard model journal, December 1991

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Truncated conformal space approach for 2D Landau–Ginzburg theories
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Unconventional superconductivity in magic-angle graphene superlattices
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Strongly correlated superconductivity: A plaquette dynamical mean-field theory study
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Hybrid-space density matrix renormalization group study of the doped two-dimensional Hubbard model
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NMR study of spin dynamics at planar oxygen and copper sites in ${YBa}_{2}$ ${Cu}_{4}$ $O_{8}$
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Anisotropic Resistivities of Precisely Oxygen Controlled Single-Crystal ${Bi}_{2} {Sr}_{2} {CaCu}_{2} O_{8 + δ}$ : Systematic Study on ``Spin Gap'' Effect
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Enhanced superconductivity in Sr2CuO4−v
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Interaction-Controlled Transport of an Ultracold Fermi Gas
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Constraints on Models of Electrical Transport in Optimally Doped La2−x Sr x CuO4 from Measurements of Radiation-Induced Defect Resistance
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Giant phonon anomaly associated with superconducting fluctuations in the pseudogap phase of cuprates
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Complete solution of the one-dimensional Hubbard model
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Specific heat of underdoped cuprates: Resonating valence bond description versus Fermi arcs
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Rapid suppression of the charge density wave in ${YBa}_{2} {Cu}_{3} O_{6.6}$ under hydrostatic pressure
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Commensurate antiferromagnetic excitations as a signature of the pseudogap in the tetragonal high-Tc cuprate HgBa2CuO4+δ
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Geometric interpretation of the weak-field Hall conductivity in two-dimensional metals with arbitrary Fermi surface
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A New High- T _c Oxide Superconductor without a Rare Earth Element
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Dynamical Layer Decoupling in a Stripe-Ordered High- $T_{c}$ Superconductor
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Superconductivity and Antiferromagnetism in the Two-Dimensional Hubbard Model: Scaling Theory
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