Numerical exploration of spontaneous broken symmetries in multi-orbital Hubbard models

Abstract

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 multi-orbital 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. We thereby conclude that it is difficult to stabilize the aforementioned phases in the multi-orbital Hubbard models for parameters relevant to cuprate superconductors. However, the ${\Theta }_{II}$ phase might be stabilized through explicit flux terms. We find 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.

9 pages, 7 figures

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Cited by in corpus (7)

• The Hubbard Model
• Superconducting stripes in the hole-doped three-band Hubbard model
• Superconductivity due to fluctuating loop currents
• Exotic charge density waves and superconductivity on the Kagome Lattice
• Spin loop-current textures in Hubbard models
• Loop currents in ladder cuprates: A dynamical mean field theory study
• Probing the pseudogap and beyond: Examining single-particle properties of the hole- and electron-doped Hubbard model