On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity
arXiv:2310.13741 · doi:10.21468/SciPostPhys.17.6.164
Abstract
Despite a long history of studies of vortex crystals in rotating superfluids, their melting due to quantum fluctuations is poorly understood. Here we develop a fracton-elasticity duality to investigate a two-dimensional vortex lattice within the fast rotation regime, where the Lifshitz model of the collective Tkachenko mode serves as the leading-order low-energy effective theory. We incorporate topological defects and discuss several quantum melting scenarios triggered by their proliferation. Furthermore, we lay the groundwork for a dual non-linear emergent gravity description of the superfluid vortex crystals.
arXiv commentv2: SciPost submission
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