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arXiv · 2310.13741

On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity

Dung Xuan Nguyen·Sergej Moroz
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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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Dung Xuan Nguyen, Sergej Moroz. 2023-10-20. On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity. https://doi.org/10.21468/scipostphys.17.6.164

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