Chiral spin liquid state of strongly interacting bosons with a moat dispersion: a Monte Carlo simulation

Abstract

We consider a system of strongly interacting bosons in two dimensions with moat band dispersion which supports an infinitely degenerate energy minimum along a closed contour in the Brillouin zone. The system has been theoretically predicted to stabilize a chiral spin liquid (CSL) ground state. In the thermodynamic limit and vanishing densities, $n\to 0$, chemical potential, $\mu$, of the uniform CSL state was shown to scale with $n$ as $\mu \sim n^2{\log }^{2}n$. Here we perform a Monte Carlo simulation to find the parametric window for particle density, $n\lesssim \frac{k_0^2}{82\pi }$, where $k_0$ is the linear size of the moat (the radius for a circular moat), for which the scaling $\sim n^2{\log }^{2}n$ in the equation of state of the homogeneous CSL is preserved. We variationally show that the uniform CSL state is favorable in an interval beyond the obtained scale and present a schematic phase diagram for the system. Our results offer some density estimates for observing the low-density behavior of CSL in time-of-flight experiments with a recently Floquet-engineered moat band system of ultracold atoms in Phys. Rev. Lett. 128, 213401 (2022), and for the recent experiments on emergent excitonic topological order in imbalanced electron-hole bilayers.

24 pages, 5 figures. Dedicated to the memory of Konstantin B. Efetov

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• Strange metal phase of disordered magic-angle twisted bilayer graphene at low temperatures: from flatbands to weakly coupled Sachdev-Ye-Kitaev bundles
• Cavity-Vacuum-Induced Chiral Spin Liquids in Kagome Lattices: Tuning and Probing Topological Quantum Phases via Cavity Quantum Electrodynamics
• Susceptibility indicator for chiral topological orders emergent from correlated fermions
• Two-dimensional topological paramagnets protected by ${\mathbb{Z}}_3$ symmetry: Properties of the boundary Hamiltonian
• Chiral vortex-line liquid of three-dimensional interacting Bose systems with moat dispersion
• Quantization and quantum oscillations of the sublattice charge order in Dirac insulators
• Elementary excitations in the hybrid Bose-Fermi system induced by circularly polarized light in a two-dimensional gas of charge carriers with different masses
• Correlated phases of moat-band excitons in two dimensions