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On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity (2310.13741v2)

Published 20 Oct 2023 in cond-mat.quant-gas, cond-mat.soft, cond-mat.str-el, cond-mat.supr-con, and hep-th

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.

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