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Title: Numerical exploration of spontaneous broken symmetries in multiorbital Hubbard models

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics
 [1];  [2];  [3];  [4];  [5];  [6]
  1. Stanford Univ., CA (United States). Dept. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Inst. for Materials and Energy Sciences
  2. Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source
  3. SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Inst. for Materials and Energy Sciences; Univ. of North Dakota, Grand Forks, ND (United States). Dept. of Physics and Astrophysics
  4. Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy, Joint Inst. for Advanced Materials
  5. Univ. of Wurzburg (Germany). Inst. for Theoretical Physics
  6. SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Inst. for Materials and Energy Sciences; Stanford Univ., CA (United States). Geballe Lab. for Advanced Materials

Here, we study three proposals for broken symmetry in the cuprate pseudogap-oxygen antiferromagnetism, Theta(II) orbital loop currents, and circulating currents involving apex oxygens-through numerical exploration of multiorbital Hubbard models. Our numerically exact results show no evidence for the existence of oxygen antiferromagnetic order or the Theta(II) phase in the three-orbital Hubbard model. The model also fails to sustain an ordered current pattern even with the presence of additional apex oxygen orbitals. Thus, we conclude that it is difficult to stabilize the aforementioned phases in the multiorbital Hubbard models for parameters relevant to cuprate superconductors. However, the Theta(II) phase might be stabilized through explicit flux terms. We also found an enhanced propensity for circulating currents with such terms in calculations simulating applied stress or strain, which skew the copper-oxygen plane to resemble a kagome lattice. We propose an experimental viewpoint to shed additional light on this problem.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); U.S. Department of Defense (DOD); National Science Foundation (NSF)
Grant/Contract Number:
AC02-06CH11357; AC02-76SF00515; AC02-05CH11231
OSTI ID:
1394802
Alternate ID(s):
OSTI ID: 1180521
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Vol. 90, Issue 22; ISSN 1098-0121
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

References (82)

Precision search for magnetic order in the pseudogap regime of La 2 x Sr x CuO 4 by muon spin relaxation journal March 2012
Investigation of particle-hole asymmetry in the cuprates via electronic Raman scattering journal December 2011
Unraveling the Nature of Charge Excitations in La 2 CuO 4 with Momentum-Resolved Cu K -Edge Resonant Inelastic X-Ray Scattering journal October 2010
Evidence of Chiral Order in the Charge-Ordered Phase of Superconducting La 1.875 Ba 0.125 Cuo 4 Single Crystals Using Polar Kerr-Effect Measurements journal January 2014
Ordered loop current states in bilayer graphene journal January 2013
Detection of the Unusual Magnetic Orders in the Pseudogap Region of a High-Temperature Superconducting YBa 2 Cu 3 O 6.6 Crystal by Muon-Spin Relaxation journal October 2009
Normal-state nodal electronic structure in underdoped high-Tc copper oxides journal June 2014
Phase Diagram of a Three-Orbital Model for High- T c Cuprate Superconductors journal March 2014
Mean-field analysis of intra-unit-cell order in the Emery model of the CuO 2 plane journal October 2011
Sublattice interference in the kagome Hubbard model journal September 2012
Absence of Orbital Currents in Superconducting YBa 2 Cu 4 O 8 Using a Zeeman-Perturbed Nuclear-Quadrupole-Resonance Technique journal March 2011
Calculation of Coulomb-interaction parameters for La 2 CuO 4 using a constrained-density-functional approach journal May 1989
ARPACK Users' Guide book January 1998
Electronic band properties and superconductivity in La 2 y X y CuO 4 journal March 1987
Three-band Hubbard model: A Monte Carlo study journal May 1990
From a Single-Band Metal to a High-Temperature Superconductor via Two Thermal Phase Transitions journal March 2011
Unusual magnetic order in the pseudogap region of the superconductor HgBa2CuO4+δ journal September 2008
Numerical study of the two-dimensional Hubbard model journal July 1989
Hidden magnetic excitation in the pseudogap phase of a high-Tc superconductor journal November 2010
Effect of strong correlations on the high energy anomaly in hole- and electron-doped high- T c superconductors journal September 2009
Magnetochiral Kerr effect with application to the cuprates journal May 2013
Berry phase mechanism for optical gyrotropy in stripe-ordered cuprates journal April 2013
Current-current correlations in the three-band model for two-leg CuO ladders: Density-matrix renormalization group study journal May 2009
Divergent Nematic Susceptibility in an Iron Arsenide Superconductor journal August 2012
Magnetic-field-induced charge-stripe order in the high-temperature superconductor YBa2Cu3Oy journal September 2011
Orbital currents, anapoles, and magnetic quadrupoles in CuO journal June 2012
Magneto-Optical Measurements of a Cascade of Transitions in Superconducting La 1.875 Ba 0.125 CuO 4 Single Crystals journal October 2012
Monte Carlo calculations of coupled boson-fermion systems. I journal October 1981
Theory of high- T c superconductivity in oxides journal June 1987
Apex oxygen and critical temperature in copper oxide superconductors: Universal correlation with the stability of local singlets journal February 1991
Consistent description of high- T c superconductors with the three-band Hubbard model journal January 1992
Uncovering selective excitations using the resonant profile of indirect inelastic x-ray scattering in correlated materials: observing two-magnon scattering and relation to the dynamical structure factor journal November 2012
Detection and Implications of a Time-Reversal Breaking State in Underdoped Cuprates journal November 2002
Pseudogap Phase and the Quantum-Critical Point in Copper-Oxide Metals journal October 1999
Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67 journal October 2012
Absence of Static Loop-Current Magnetism at the Apical Oxygen Site in HgBa 2 CuO 4 + δ from NMR journal November 2013
Antiferromagnetic, charge-transfer, and pairing correlations in the three-band Hubbard model journal July 1991
Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states journal July 2010
Spontaneous breaking of time-reversal symmetry in the pseudogap state of a high-Tc superconductor journal April 2002
Amplitude mode of the d -density-wave state and its relevance to high- T c cuprates journal June 2013
Unconventional Fermi Surface Instabilities in the Kagome Hubbard Model journal March 2013
Doping evolution of the oxygen K -edge x-ray absorption spectra of cuprate superconductors using a three-orbital Hubbard model journal April 2013
Theory of polarized neutron scattering in the loop-ordered phase of cuprates journal July 2012
Polar Kerr-Effect Measurements of the High-Temperature YBa 2 Cu 3 O 6 + x Superconductor: Evidence for Broken Symmetry near the Pseudogap Temperature journal March 2008
Magnetic Order in the Pseudogap Phase of High- T C Superconductors journal May 2006
Evidence for Intra-Unit-Cell magnetic order in the pseudo-gap state of high-T c cuprates journal July 2013
Coexistence of Competing Orders with Two Energy Gaps in Real and Momentum Space in the High Temperature Superconductor Bi 2 Sr 2 x La x CuO 6 + δ journal November 2008
Novel magnetic order in the pseudogap state of high- copper oxides superconductors journal June 2011
Theory of the pseudogap state of the cuprates journal April 2006
No Evidence for Spontaneous Orbital Currents in Numerical Studies of Three-Band Models for the CuO Planes of High Temperature Superconductors journal July 2007
Observation of Orbital Currents in CuO journal April 2011
Observable NMR signal from circulating current order in YBCO journal April 2012
Signatures of orbital loop currents in the spatially resolved local density of states journal August 2012
The pseudogap: friend or foe of high T c ? journal December 2005
Particle–hole symmetry breaking in the pseudogap state of Bi2201 journal April 2010
Local-density functional and on-site correlations: The electronic structure of La 2 CuO 4 and LaCuO 3 journal May 1994
Direct observation of bulk charge modulations in optimally doped Bi 1.5 Pb 0.6 Sr 1.54 CaCu 2 O 8 + δ journal June 2014
Quenched disorder and vestigial nematicity in the pseudogap regime of the cuprates journal May 2014
Kerr effect as evidence of gyrotropic order in the cuprates journal March 2013
Numerical analysis of three-band models for CuO planes as candidates for a spontaneous T-violating orbital current phase journal March 2008
The pseudogap in high-temperature superconductors: an experimental survey journal January 1999
Long-Range Incommensurate Charge Fluctuations in (Y,Nd)Ba2Cu3O6+x journal July 2012
Correlated electrons in high-temperature superconductors journal July 1994
Quantum oscillations of the specific heat in d -wave superconductors with loop current order journal July 2013
Non-Fermi-liquid states and pairing instability of a general model of copper oxide metals journal June 1997
Role of oxygen-oxygen hopping in the three-band copper-oxide model: Quasiparticle weight, metal insulator and magnetic phase boundaries, gap values, and optical conductivity journal March 2011
Time-reversal symmetry breaking phase in the Hubbard model: A variational cluster approach study journal March 2012
Phase competition in trisected superconducting dome journal October 2012
Loop current order and d -wave superconductivity: Some observable consequences journal July 2012
Orbital Currents in Extended Hubbard Models of High- T c Cuprate Superconductors journal January 2009
Impact of an oxygen dopant in Bi 2 Sr 2 CaCu 2 O 8+δ journal May 2009
How to detect fluctuating stripes in the high-temperature superconductors journal October 2003
Energy gaps in high-transition-temperature cuprate superconductors journal June 2014
Charge transfer excitations and superconductivity in “ionic” metals journal June 1987
Orbital current patterns in doped two-leg Cu-O Hubbard ladders journal August 2008
Hidden order in the cuprates journal January 2001
Charge-density-wave origin of cuprate checkerboard visualized by scanning tunnelling microscopy journal July 2008
Stability of Nodal Quasiparticles in Superconductors with Coexisting Orders journal January 2008
Importance of phase fluctuations in superconductors with small superfluid density journal March 1995
Local Ordering in the Pseudogap State of the High-Tc Superconductor Bi2Sr2CaCu2O8+  journal March 2004
Emergence of charge order from the vortex state of a high-temperature superconductor journal July 2013
Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering journal February 2014

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