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

We consider a system of strongly interacting bosons in two dimensions with moat band dispersion which supports an in-finitely degenerate energy minimum along a closed contour in the Brillouin zone. The system has been theoretically pre-dicted to stabilize a chiral spin liquid (CSL) ground state. In the thermodynamic limit and vanishing densities, n -> 0, chemi-cal potential, mu, of the uniform CSL state was shown to scale with n as mu -n2 log2 n. Here we perform a Monte Carlo simulation to find the parametric window for particle density, n less than or similar to k2 82 pi, where k0 is the linear size of the moat (the radius 0 for a circular moat), for which the scaling -n2 log2 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 Bracamontes et al. (2022), and for the recent experiments on emergent excitonic topological order in imbalanced electron-hole bilayers.(c) 2023 Elsevier Inc. All rights reserved.