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Title: Theory of intertwined orders in high temperature superconductors

Abstract

The electronic phase diagrams of many highly correlated systems, and in particular the cuprate high temperature superconductors, are complex, with many different phases appearing with similar—sometimes identical—ordering temperatures even as material properties, such as a dopant concentration, are varied over wide ranges. This complexity is sometimes referred to as “competing orders.” However, since the relation is intimate, and can even lead to the existence of new phases of matter such as the putative “pair-density-wave,” the general relation is better thought of in terms of “intertwined orders.” We selectively analyze some of the experiments in the cuprates which suggest that essential aspects of the physics are reflected in the intertwining of multiple orders—not just in the nature of each order by itself. We also summarize and critique several theoretical ideas concerning the origin and implications of this complexity.

Authors:
 [1];  [2];  [3]
  1. Univ. of Illinois at Urbana-Champaign, Urbana, IL (United States)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
  3. Stanford Univ., Stanford, CA (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:
1183259
Alternate Identifier(s):
OSTI ID: 1182855
Report Number(s):
BNL-107677-2015-JA
Journal ID: ISSN 0034-6861; R&D Project: PO010; KC0201060
Grant/Contract Number:  
SC00112704; SC0012368; AC02-76SF00515
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Reviews of Modern Physics
Additional Journal Information:
Journal Volume: 87; Journal Issue: 2; Journal ID: ISSN 0034-6861
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Fradkin, Eduardo, Tranquada, John M., and Kivelson, Steven A. Theory of intertwined orders in high temperature superconductors. United States: N. p., 2015. Web. doi:10.1103/RevModPhys.87.457.
Fradkin, Eduardo, Tranquada, John M., & Kivelson, Steven A. Theory of intertwined orders in high temperature superconductors. United States. https://doi.org/10.1103/RevModPhys.87.457
Fradkin, Eduardo, Tranquada, John M., and Kivelson, Steven A. 2015. "Theory of intertwined orders in high temperature superconductors". United States. https://doi.org/10.1103/RevModPhys.87.457. https://www.osti.gov/servlets/purl/1183259.
@article{osti_1183259,
title = {Theory of intertwined orders in high temperature superconductors},
author = {Fradkin, Eduardo and Tranquada, John M. and Kivelson, Steven A.},
abstractNote = {The electronic phase diagrams of many highly correlated systems, and in particular the cuprate high temperature superconductors, are complex, with many different phases appearing with similar—sometimes identical—ordering temperatures even as material properties, such as a dopant concentration, are varied over wide ranges. This complexity is sometimes referred to as “competing orders.” However, since the relation is intimate, and can even lead to the existence of new phases of matter such as the putative “pair-density-wave,” the general relation is better thought of in terms of “intertwined orders.” We selectively analyze some of the experiments in the cuprates which suggest that essential aspects of the physics are reflected in the intertwining of multiple orders—not just in the nature of each order by itself. We also summarize and critique several theoretical ideas concerning the origin and implications of this complexity.},
doi = {10.1103/RevModPhys.87.457},
url = {https://www.osti.gov/biblio/1183259}, journal = {Reviews of Modern Physics},
issn = {0034-6861},
number = 2,
volume = 87,
place = {United States},
year = {Thu Mar 26 00:00:00 EDT 2015},
month = {Thu Mar 26 00:00:00 EDT 2015}
}

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Cited by: 606 works
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journal, December 1993


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Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
text, January 2008


Energy gaps in the failed high-Tc superconductor La1.875Ba0.125CuO4
text, January 2008


Pair Density Wave correlations in the Kondo-Heisenberg Model
text, January 2010


Progress in Neutron Scattering Studies of Spin Excitations in High-Tc Cuprates
text, January 2011


Phase competition in trisected superconducting dome
text, January 2012


Detection of electronic nematicity using scanning tunneling microscopy
text, January 2013


Normal-state nodal electronic structure in underdoped high-Tc copper oxides
text, January 2015


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text, January 2000


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text, January 2004


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text, January 2006


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text, January 1997


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text, January 1998


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Multivalley Free Energy Landscape and the Origin of Stripe and Quasi-Stripe CDW Structures in Monolayer MX2 Compounds
journal, January 2020


Coupled Cu and Mn charge and orbital orders in YBa2Cu3O7/Nd0.65(Ca1-ySry)0.35MnO3 multilayers
journal, August 2018


Nanocalorimeter platform for in situ specific heat measurements and x-ray diffraction at low temperature
journal, December 2017


High-temperature charge density wave correlations in La 1.875 Ba 0.125 CuO 4 without spin–charge locking
journal, November 2017


Quantum oscillations in a biaxial pair density wave state
journal, May 2018


Disorder raises the critical temperature of a cuprate superconductor
journal, May 2019


Skyrmion-like textures in superconductors with competing orders
journal, September 2019


Intertwined Orders in Heavy-Fermion Superconductor CeCoIn 5
journal, December 2016


Strange metallicity in the doped Hubbard model
journal, November 2019


Giant phonon anomaly associated with superconducting fluctuations in the pseudogap phase of cuprates
journal, January 2016


Spin dynamics of the block orbital-selective Mott phase
journal, September 2018


Elementary excitation in the spin-stripe phase in quantum chains
journal, May 2019


Emergence of pseudogap from short-range spin-correlations in electron-doped cuprates
journal, January 2020


Genesis of charge orders in high temperature superconductors
journal, January 2016


Ideal charge-density-wave order in the high-field state of superconducting YBCO
journal, December 2016


Superconductor-metal transition in odd-frequency–paired superconductor in a magnetic field
journal, June 2019


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


Staging superstructures in high- T c Sr/O codoped La 2 x Sr x CuO 4 + y
journal, November 2017


Spin-isotropic continuum of spin excitations in antiferromagnetically ordered Fe 1.07 Te
journal, January 2018


Low-energy antiferromagnetic spin fluctuations limit the coherent superconducting gap in cuprates
journal, December 2018


Topological quantum critical point in a triple-Weyl semimetal: Non-Fermi-liquid behavior and instabilities
journal, May 2019


Effective holographic theory of charge density waves
journal, April 2018


Intertwined Order and Holography: The Case of Parity Breaking Pair Density Waves
journal, November 2017


Evidence of pair-density wave in spin-valley locked systems
journal, March 2019


Kinetic approach to superconductivity hidden behind a competing order
journal, October 2018


Tuning from failed superconductor to failed insulator with magnetic field
journal, June 2019


Stripe order in the underdoped region of the two-dimensional Hubbard model
journal, November 2017


Competing stripe and magnetic phases in the cuprates from first principles
journal, December 2019


Charge ordering in high-temperature superconductors visualized by scanning tunneling microscopy
journal, October 2019


Metal-insulator transition in the ground state of the three-band Hubbard model at half filling
journal, April 2019


Nonlinear light–matter interaction at terahertz frequencies
journal, January 2016


Pair Breaking, Pseudogap, and Superconducting Tc of Hole-Doped Cuprates: Interrelations and Implications
journal, September 2018


Controlling many-body states by the electric-field effect in a two-dimensional material
journal, December 2015


Charge density wave memory in a cuprate superconductor
journal, March 2019


Enhanced nematic fluctuations near an antiferromagnetic Mott insulator and possible application to high-Tc cuprates
journal, January 2019


Coupling two order parameters in a quantum gas
journal, July 2018


Nematic quantum critical point without magnetism in FeSe 1− x S x superconductors
journal, July 2016


Robustness of entropy plateaus: A case study of triangular Ising antiferromagnets
journal, August 2019


Exactly solvable model of strongly correlated d -wave superconductivity
journal, January 2020


Influence of oxygen vacancies on two-dimensional electron systems at SrTiO3-based interfaces and surfaces
journal, July 2017


Review of pseudogaps in strongly interacting Fermi gases
journal, September 2017


Emergent O( n ) symmetry in a series of three-dimensional Potts models
journal, September 2016


Dual gauge field theory of quantum liquid crystals in three dimensions
journal, October 2017


Breakdown of Fermi liquid theory in topological multi-Weyl semimetals
journal, November 2018


Hallmarks of Hunds coupling in the Mott insulator Ca2RuO4
text, January 2017


Visualization of the periodic modulation of Cooper pairing in a cuprate superconductor
journal, September 2018


Machine learning in electronic-quantum-matter imaging experiments
journal, June 2019


Nanoscale electrodynamics of strongly correlated quantum materials
journal, November 2016


Josephson lattice model for phase fluctuations of local pairs in copper oxide superconductors
journal, July 2019


Emergent O(n) Symmetry in a series of three-dimensional Potts Models
text, January 2015


Magnetic excitations and amplitude fluctuations in insulating cuprates
text, January 2017


Pair Density Waves in Superconducting Vortex Halos
text, January 2018


Coupled charge and spin dynamics in a photo-excited Mott insulator
text, January 2018


Bogoliubov Fermi surfaces: General theory, magnetic order, and topology
text, January 2018


Disorder raises the critical temperature of a cuprate superconductor
text, January 2018


Scale-invariant magnetic textures in the strongly correlated oxide NdNiO3
text, January 2019