Doping a moiré Mott Insulator: A t-J model study of twisted cuprates

Abstract

We theoretically investigate twisted structures where each layer is composed of a strongly correlated material. In particular, we study a twisted t-J model of cuprate multilayers within the slave-boson mean field theory. This treatment encompasses the Mott physics at small doping and self consistently generates d-wave pairing. Furthermore, including the correct inter-layer tunneling form factor consistent with the symmetry of the Cu $d_{x^2-y^2}$ orbital proves to be crucial for the phase diagram. We find spontaneous time reversal (T) breaking around twist angle of $45^{\circ }$, although only in a narrow window of twist angles. Moreover, the gap obtained is small and the Chern number vanishes, implying a non-topological superconductor. At smaller twist angles, driving an interlayer current however can lead to a gapped topological phase. The energy-phase relation of the interlayer Josephson junction displays notable double-Cooper-pair tunneling which dominates around $45^o$. The twist angle dependence of the Josephson critical current and the Shapiro steps are consistent with recent experiments. Utilizing the moiré structure as a probe of correlation physics, in particular of the pair density wave state, is discussed.

arXiv comment5+7 pages, 3+7 figures

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• Supercurrent-induced Anomalous Thermal Hall Effect as a New Probe to Superconducting Gap Anisotropy
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• Exploring van der Waals cuprate superconductors using a hybrid microwave circuit
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• Mean Field Study of Superconductivity in the Square Lattice $t$-$J$ Model with Three-Site Hopping
• Topological phases in twisted Rashba superconductors
• Circular-polarization-selective perfect reflection from chiral superconductors
• Supermodulation-driven evolution of the nodal structure of bismuth-based cuprate superconductors
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• Gap structure and phase diagram of twisted bilayer cuprates from a microscopic perspective