Spin-twisted Optical Lattices: Tunable Flat Bands and Larkin-Ovchinnikov Superfluids

Abstract

Moiré superlattices in twisted bilayer graphene and transition-metal dichalcogenides have emerged as a powerful tool for engineering novel band structures and quantum phases of two-dimensional quantum materials. Here we investigate Moiré physics emerging from twisting two independent hexagonal optical lattices of atomic (pseudo-)spin states (instead of bilayers), which exhibits remarkably different physics from twisted bilayer graphene. We employ a momentum-space tight-binding calculation that includes all range real-space tunnelings, and show that all twist angles $\theta \lesssim 6^{\circ }$ can become magic that support gapped flat bands. Due to greatly enhanced density of states near the flat bands, the system can be driven to superfluid by weak attractive interaction. Strikingly, the superfluid phase corresponds to a Larkin-Ovchinnikov state with finite momentum pairing, resulting from the interplay between flat bands and inter-spin interactions in the unique single-layer spin-twisted lattice. Our work may pave the way for exploring novel quantum phases and twistronics in cold atomic systems.

arXiv comment4 pages, 4 figures, and Supplementary Materials (7 pages), to appear in Phys. Rev. Lett

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• Atomic Bose-Einstein condensate in a twisted-bilayer optical lattice
• A moiré superlattice on the surface of a topological insulator
• Quantum-metric-enabled exciton condensate in double twisted bilayer graphene
• Plasmonic Twistronics: Discovery of Plasmonic Skyrmion Bags
• Synthetic dimensions for topological and quantum phases: Perspective
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• State-dependent potentials for the ${}^1{\text{S}}_0$ and ${}^3{\text{P}}_0$ clock states of neutral ytterbium atoms
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• Quantum phases of dipolar bosons in multilayer optical lattice
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• The low energy excitation spectrum of magic-angle semimetals
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• Tunable symmetry-protected higher-order topological states with fermionic atoms in bilayer optical lattices
• Determining the ${}^3$P${}_0$ excited-state tune-out wavelength of ${}^{174}$Yb in a triple-magic lattice
• Moiré Superradiance in Cavity Quantum Electrodynamics with Quantum Atom Gas
• Electronic properties of twisted multilayer graphene