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Title: Fragility of Charge Order Near an Antiferromagnetic Quantum Critical Point

Journal Article · · Physical Review Letters
 [1];  [2];  [3];  [4];  [5]
  1. Univ. of Minnesota, Minneapolis, MN (United States). School of Physics and Astronomy; Univ. of Chicago, IL (United States). Dept. of Physics
  2. Univ. of Illinois at Urbana-Champaign, IL (United States). Inst. for Condensed Matter Theory and Dept. of Physics
  3. Weizmann Inst. of Science, Rehovot (Israel); Stanford Univ., CA (United States). Dept. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
  4. Univ. of Chicago, IL (United States). Dept. of Physics
  5. Univ. of Minnesota, Minneapolis, MN (United States). School of Physics and Astronomy

Here, we investigate the interplay between charge order and superconductivity near an antiferromagnetic quantum critical point using sign-problem-free Quantum Monte Carlo simulations. We establish that, when the electronic dispersion is particle-hole symmetric, the system has an emergent SU(2) symmetry that implies a degeneracy between d-wave superconductivity and charge order with d-wave form factor. Deviations from particle-hole symmetry, however, rapidly lift this degeneracy, despite the fact that the SU(2) symmetry is preserved at low energies. As a result, we find a strong suppression of charge order caused by the competing, leading superconducting instability. Across the antiferromagnetic phase transition, we also observe a shift in the charge order wave vector from diagonal to axial. We discuss the implications of our results to the universal phase diagram of antiferromagnetic quantum-critical metals and to the elucidation of the charge order experimentally observed in the cuprates.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; Research Corp. for Science Advancement (RCSA), Tuscon, AZ (United States); Gordon and Betty Moore Foundation
Grant/Contract Number:
SC0012336; AC02-76SF00515
OSTI ID:
1460676
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 24 Vol. 120; ISSN 0031-9007; ISSN PRLTAO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (54)

Magnetic-field-induced charge-stripe order in the high-temperature superconductor YBa2Cu3Oy journal September 2011
Magnetic field controlled charge density wave coupling in underdoped YBa2Cu3O6+x journal May 2016
Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67 journal October 2012
Thermodynamic phase diagram of static charge order in underdoped YBa2Cu3Oy journal December 2012
Pseudogap state near a quantum critical point journal June 2013
Ideal charge-density-wave order in the high-field state of superconducting YBCO journal December 2016
Commensurate 4 a 0 -period charge density modulations throughout the Bi 2 Sr 2 CaCu 2 O 8+x pseudogap regime journal October 2016
Quantum-critical theory of the spin-fermion model and its application to cuprates: Normal state analysis journal March 2003
Instabilities near the onset of spin density wave order in metals journal October 2010
Charge order in the pseudogap phase of cuprate superconductors journal January 2015
Quantum phase transitions of metals in two spatial dimensions. II. Spin density wave order journal August 2010
Spatially modulated electronic nematicity in the three-band model of cuprate superconductors journal October 2013
Cascade of phase transitions in the vicinity of a quantum critical point journal May 2014
Charge-density-wave order with momentum ( 2 Q , 0 ) and ( 0 , 2 Q ) within the spin-fermion model: Continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates journal July 2014
Feedback of superconducting fluctuations on charge order in the underdoped cuprates journal October 2014
Density wave instabilities in a correlated two-dimensional metal journal October 2014
Density-wave instabilities of fractionalized Fermi liquids journal December 2014
Interplay between pair- and charge-density-wave orders in underdoped cuprates journal March 2015
Quantum critical properties of a metallic spin-density-wave transition journal January 2017
Superconductivity mediated by quantum critical antiferromagnetic fluctuations: The rise and fall of hot spots journal May 2017
Nature of the effective interaction in electron-doped cuprate superconductors: A sign-problem-free quantum Monte Carlo study journal June 2017
Dynamical charge density waves rule the phase diagram of cuprates journal June 2017
Structure of the charge density wave in cuprate superconductors: Lessons from NMR journal March 2018
Multistage electronic nematic transitions in cuprate superconductors: A functional-renormalization-group analysis journal April 2018
Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa 2 Cu 3 O 6 + δ Superconductors Identified by Resonant Elastic X-ray Scattering journal October 2012
X-Ray Diffraction Observations of a Charge-Density-Wave Order in Superconducting Ortho-II YBa 2 Cu 3 O 6.54 Single Crystals in Zero Magnetic Field journal March 2013
Bond Order in Two-Dimensional Metals with Antiferromagnetic Exchange Interactions journal July 2013
Competing Orders in a Nearly Antiferromagnetic Metal journal August 2016
Two-dimensional negative- U Hubbard model journal February 1991
Hall, Seebeck, and Nernst Coefficients of Underdoped HgBa 2 CuO 4 + δ : Fermi-Surface Reconstruction in an Archetypal Cuprate Superconductor journal June 2013
A common thread: The pairing interaction for unconventional superconductors journal October 2012
Colloquium : Theory of intertwined orders in high temperature superconductors journal May 2015
Long-Range Incommensurate Charge Fluctuations in (Y,Nd)Ba2Cu3O6+x journal July 2012
Sign-Problem-Free Quantum Monte Carlo of the Onset of Antiferromagnetism in Metals journal December 2012
Charge Order Driven by Fermi-Arc Instability in Bi2Sr2-xLaxCuO6+  journal December 2013
Ubiquitous Interplay Between Charge Ordering and High-Temperature Superconductivity in Cuprates journal December 2013
Angular Fluctuations of a Multicomponent Order Describe the Pseudogap of YBa2Cu3O6+x journal March 2014
Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking journal May 2014
Instabilities near the onset of spin density wave order in metals text January 2010
Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals text January 2012
Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x) text January 2012
Spatially Modulated Electronic Nematicity in the Three-Band Model of Cuprate Superconductors text January 2013
Ubiquitous Interplay between Charge Ordering and High-Temperature Superconductivity in Cuprates text January 2013
Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking text January 2014
Charge Order in the Pseudogap Phase of Cuprate Superconductors text January 2014
Feedback of superconducting fluctuations on charge order in the underdoped cuprates text January 2014
Ideal charge density wave order in the high-field state of superconducting YBCO text January 2016
Quantum critical properties of a metallic spin density wave transition text January 2016
Superconductivity mediated by quantum critical antiferromagnetic fluctuations: The rise and fall of hot spots text January 2016
Multistage Electronic Nematic Transitions in Cuprate Superconductors: Functional-Renormalization-Group Analysis text January 2017
Structure of the Charge-Density Wave in Cuprate Superconductors: Lessons from NMR text January 2017
Competing Unconventional Charge-Density-Wave States in Cuprate Superconductors: Spin-Fluctuation-Driven Mechanism text January 2018
Magnetic field controlled charge density wave coupling in underdoped YBa2Cu3O6+x text January 2016
Competing Unconventional Charge-Density-Wave States in Cuprate Superconductors: Spin-Fluctuation-Driven Mechanism journal June 2017

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Evolution of charge order topology across a magnetic phase transition in cuprate superconductors journal January 2019
Intimate link between charge density wave, pseudogap and superconducting energy scales in cuprates journal April 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
Electronic and phononic properties of a two-dimensional electron gas coupled to dipolar phonons via small-momentum-transfer scattering journal December 2019
Crossover from charge density wave stabilized antiferromagnetism to superconductivity in Nd 1 − x La x NiC 2 compounds journal June 2019
Hierarchy of energy scales in an O(3) symmetric antiferromagnetic quantum critical metal: A Monte Carlo study journal April 2020
Evolution of charge order topology across a magnetic phase transition in cuprate superconductors text January 2019
Hierarchy of energy scales in an O(3) symmetric antiferromagnetic quantum critical metal: a Monte Carlo study text January 2020