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Title: Theory of intertwined orders in high temperature superconductors

Journal Article · · Reviews of Modern Physics
 [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)

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.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC00112704; SC0012368; AC02-76SF00515
OSTI ID:
1183259
Alternate ID(s):
OSTI ID: 1182855
Report Number(s):
BNL-107677-2015-JA; R&D Project: PO010; KC0201060
Journal Information:
Reviews of Modern Physics, Vol. 87, Issue 2; ISSN 0034-6861
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 616 works
Citation information provided by
Web of Science

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A Phenomenological Theory of the Anomalous Pseudogap Phase in Underdoped Cuprates text January 2011
Pair-Density-Wave Superconducting Order in Two-Leg Ladders text January 2011
Nematic orders in Iron-based superconductors text January 2011
Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals text January 2012
Phase competition in trisected superconducting dome text January 2012
Detection of electronic nematicity using scanning tunneling microscopy text January 2013
Optically enhanced coherent transport in YBa2Cu3O6.5 by ultrafast redistribution of interlayer coupling text January 2013
Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy text January 2014
Normal-state nodal electronic structure in underdoped high-Tc copper oxides text January 2015
A Bosonic Model of Hole Pairs text January 2000
Evolution of the resonance and incommensurate spin fluctuations in superconducting YBa$_2$Cu$_3$O$_{6+x}$ text January 2000
A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d text January 2002
Quantum critical behavior near a density-wave instability in an isotropic Fermi liquid text January 2004
Constant effective mass across the phase diagram of high-T$_{c}$ cuprates text January 2005
Fermi liquid instabilities in the spin channel text January 2006
An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates text January 2007
Spatially Ordered Fractional Quantum Hall States text January 1995
Doped Antiferromagnets in High Dimension text January 1997
Liquid Crystal Phases of Quantum Hall Systems text January 1998

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Hidden Pair-Density-Wave Order in Cuprate Superconductors journal January 2019
Hallmarks of Hunds coupling in the Mott insulator Ca2RuO4 journal May 2017
Observation of a d-wave gap in electron-doped Sr2IrO4 journal October 2015
Doping the holographic Mott insulator journal July 2018
High-temperature superconductivity in monolayer Bi2Sr2CaCu2O8+δ journal October 2019
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
Adiabatic variation of the charge density wave phase diagram in the 123 cuprate ( Ca x La 1 x ) ( Ba 1.75 x La 0.25 + x ) Cu 3 O y journal July 2019
Role of the Fermi surface for the pressure-tuned nematic transition in the BaFe 2 As 2 family journal August 2019
Skyrmion-like textures in superconductors with competing orders journal September 2019
Improved treatment of fermion-boson vertices and Bethe-Salpeter equations in nonlocal extensions of dynamical mean field theory journal January 2020
Possible quantum fluctuations in the vicinity of the quantum critical point of ( Sr , Ca ) 3 Ir 4 Sn 13 revealed by high-energy x-ray diffraction journal March 2020
Extended dynamical mean field theory combined with the two-particle irreducible functional renormalization-group approach as a tool to study strongly correlated systems journal March 2019
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
Photoemission perspective on pseudogap, superconducting fluctuations, and charge order in cuprates: a review of recent progress journal April 2018
Anomalies in the pseudogap phase of the cuprates: competing ground states and the role of umklapp scattering journal October 2019
Origin of diverse nematic orders in Fe-based superconductors: 45 rotated nematicity in A Fe 2 As 2 ( A = Cs , Rb ) journal July 2019
Hubbard model on a triangular lattice: Pseudogap due to spin density wave fluctuations journal July 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
Enhanced correlations and superconductivity in weakly interacting partially flat-band systems: A determinantal quantum Monte Carlo study journal June 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
Incommensurate Phonon Anomaly and the Nature of Charge Density Waves in Cuprates text January 2018
Probing the pathway of an ultrafast structural phase transition to illuminate the transition mechanism in Cu 2 S journal July 2018
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
Enhanced nematic fluctuations near an antiferromagnetic Mott insulator and possible application to high-Tc cuprates text January 2019
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
Evolution of Pairing Orders between Pseudogap and Superconducting Phases of Cuprate Superconductors journal February 2019
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
Rapid change of superconductivity and electron-phonon coupling through critical doping in Bi-2212 journal October 2018
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
Giant Phonon Anomaly associated with Superconducting Fluctuations in the Pseudogap Phase of Cuprates text January 2016
Emergent O(n) Symmetry in a series of three-dimensional Potts Models text January 2015
Dual gauge field theory of quantum liquid crystals in three dimensions text January 2017
Magnetic excitations and amplitude fluctuations in insulating cuprates text January 2017
Tunable-range, photon-mediated atomic interactions in multimode cavity QED 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
Kinetic approach to superconductivity hidden behind a competing order text January 2018
Density response of holographic metallic IR fixed points with translational pseudo-spontaneous symmetry breaking text January 2019
Real-space observation of charge ordering in epitaxial La2-xSrxCuO4 films text January 2019
Improved treatment of fermion-boson vertices and Bethe-Salpeter equations in non-local extensions of dynamical mean field theory text January 2019
Scale-invariant magnetic textures in the strongly correlated oxide NdNiO3 text January 2019

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