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

Dec 2022

We consider a system of strongly interacting Bosons in two dimensions withmoat band dispersion which supports an infinitely degenerate energy minimumalong a closed contour in the Brillouin zone. The system has been theoreticallypredicted to stabilize a chiral spin liquid (CSL) ground state. In thethermodynamic limit and vanishing densities, $n\rightarrow 0$, chemicalpotential, $\mu$, was shown to scale with $n$ as $\mu\sim n^2\log ^2n$. Here weperform a Monte Carlo simulation to find the parametric window for particledensity, $n \lesssim \frac{k^2_0}{82 \pi}$, where $k_0$ is the linear size ofthe moat (the radius for a circular moat), for which the scaling $\sim n^2\log^2n$ in the equation of state of the CSL is preserved. We variationally showthat the CSL state is favorable in a interval beyond the obtained scale andpresent a schematic phase diagram for the system. Our results offer somedensity estimates for observing the low-density behavior of CSL in time offlight experiments with a recently Floquet-engineered moat band system ofultracold atoms in Phys. Rev. Lett. 128, 213401 (2022), and for the recentexperiments on emergent excitonic topological order in imbalanced electron-holebilayers.

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