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Fracton-elasticity duality of two-dimensional superfluid vortex crystals: defect interactions and quantum melting

by Dung Xuan Nguyen, Andrey Gromov, Sergej Moroz

Submission summary

As Contributors: Sergej Moroz · Dung Nguyen
Arxiv Link: (pdf)
Date submitted: 2020-06-23
Submitted by: Nguyen, Dung
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Quantum Physics
Approaches: Theoretical, Phenomenological


Employing the fracton-elastic duality, we develop a low-energy effective theory of a zero-temperature vortex crystal in a two-dimensional bosonic superfluid which naturally incorporates crystalline topological defects. We extract static interactions between these defects and investigate several continuous quantum transitions triggered by the Higgs condensation of vortex vacancies/interstitials and dislocations. We propose that the quantum melting of the vortex crystal towards the hexatic or smectic phase may occur via a pair of continuous transitions separated by an intermediate vortex supersolid phase.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 2005.12317v2 on 23 June 2020

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