Numerical analysis of three-band models for CuO planes as candidates for a spontaneous T violating orbital current phase

Abstract

Recently, we have numerically evaluated the current-current correlation function for the ground states of three-band models for the CuO planes of high-Tc superconductors at hole doping x=1/8 using systems with 24 sites and periodic boundary conditions. In this article, the numerical analysis is explicated in detail and extended to a wider range of parameters. Our results show no evidence for the time-reversal symmetry violating current patterns recently proposed by Varma. If such current patterns exist, our results indicate that the energy associated with the loop currents must be smaller than 5 meV per link even if the on-site chemical potential on the oxygen sites, which is generally assumed to be of the order of 3.6 eV, is taken to zero, as advocated by Varma. We also vary the inter-atomic Coulomb repulsion scale and find only a weak dependence on this parameter. So while our studies do not rule out the existence of such current patterns, they do rule out that quantum critical fluctuations of these patterns are responsible for phenomena occurring at significantly higher energies such as the superconductivity or the anomalous properties observed in the strange metal phase provided the CuO superconductors are adequately described by any of the three-band models discussed.

arXiv comment12 pages, 15 figures

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• Phase diagram and single-particle spectrum of CuO${}_2$ layers within a variational cluster approach to the 3-band Hubbard model
• Ground-state phase diagram of the three-band Hubbard model from density matrix embedding theory
• Evidence for Intra-Unit-Cell magnetic order in Bi2Sr2CaCu2O8+d
• Thermodynamic Properties near the onset of Loop-Current Order in high-$T_c$ superconducting cuprates
• Orbital currents in insulating and doped antiferromagnets
• Orbital structure of the effective pairing interaction in the high-temperature superconducting cuprates
• Pseudogap phase in cuprates: oxygen orbital moments instead of circulating currents
• Numerical exploration of spontaneous broken symmetries in multi-orbital Hubbard models
• The kagome Hubbard model from a functional renormalization group perspective
• A computational approach to a doped antiferromagnet: correlations between two spin-polarons in the lightly doped CuO${}_2$ plane
• Strong competition between ${\Theta }_{II}$-loop-current order and $d$-wave charge order along the diagonal direction in a two-dimensional hot spot model
• Instability towards Staggered Loop Currents in the Three-Orbital Model for Cuprate Superconductors
• Superconductivity due to fluctuating loop currents
• Unified description of cuprate superconductors using four-band $d$-$p$ model
• Possible propagation of the Zhang-Rice singlet as a probable Cooper channel in the $Cu{O}_2$ planes
• Exotic charge density waves and superconductivity on the Kagome Lattice
• Mean-field thermodynamic quantum time-space crystal: spontaneous breaking of time-translation symmetry in a macroscopic fermion system
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• Charge and current orders in the spin-fermion model with overlapping hot spots
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• Spin rotational symmetry breaking by orbital current patterns in two-leg ladders.
• Spin loop-current textures in Hubbard models
• Loop currents in ladder cuprates: A dynamical mean field theory study
• Electronic Liquid Crystal Physics of Underdoped Cuprates