Doping phase diagram of a Hubbard model for twisted bilayer cuprates

Abstract

We study the twisted Hubbard model of a cuprate bilayer at a fixed twist angle $\theta =53.13^{\circ }$ using the variational cluster approximation, a method that treats short-range dynamical correlations exactly. At intermediate interlayer tunneling, the phase difference $\varphi$ between the $d$-wave order parameters of two layers is $\pi$ in the overdoped regime, while it is zero in the underdoped regime, close to the Mott phase. At strong interlayer tunneling, we observe a clear time-reversal symmetry breaking phase near optimal doping, in which the phase difference $\varphi$ changes continuously from 0 to $\pi$. However, this phase has trivial topology. We also apply a cluster extension of dynamical mean field theory to the same problem, but fail to detect a time-reversal breaking phase with that method.

8 pages, 7 figures

References in corpus (11)

• Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
• Moiré heterostructures as a condensed matter quantum simulator
• Twistronics: Manipulating the Electronic Properties of Two-dimensional Layered Structures through their Twist Angle
• Variational cluster approach to correlated electron systems in low dimensions
• Simplified topological invariants for interacting insulators
• High-temperature topological superconductivity in twisted double layer copper oxides
• Strongly Correlated Topological Superconductors and Topological Phase Transitions via Green's Function
• Josephson effects in twisted cuprate bilayers
• The c-axis transport in naturally-grown Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ cross-whisker junctions
• Multisite versus multiorbital Coulomb correlations studied within finite-temperature exact diagonalization dynamical mean-field theory
• Doping a moiré Mott Insulator: A t-J model study of twisted cuprates

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• High-temperature Majorana corner modes in a $d+i{d}^{\prime }$ superconductor heterostructure: Application to twisted bilayer cuprate superconductors
• Twisted-bilayer FeSe and the Fe-based superlattices
• Doping dependence of chiral superconductivity in near $45^{\circ }$ twisted bilayer cuprates
• Site-selective insulating phase in twisted bilayer Hubbard model
• Tuning topological superconductivity within the $t$-$J$-$U$ model of twisted bilayer cuprates
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• Twisted Nodal Superconductors
• Impact of correlations on topology in Kane-Mele model decorated with impurities
• Flux-Tunable Regimes and Supersymmetry in Twisted Cuprate Heterostructures