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

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.

v2: SciPost submission

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Cited by in corpus (6)

• Fractons on the edge
• Quadrupole gauge theory: anti-Higgs mechanism and elastic dual
• Non-equilibrium charge-vortex duality
• Non-commutative effective field theory of the lowest Landau level superfluid
• Defects in Wigner crystals: fracton-elasticity duality and vacancy proliferation
• Effective field theory for the superfluid vortex lattice from coset construction