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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

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Submission summary

Authors (as registered SciPost users): Sergej Moroz · Dung Nguyen
Submission information
Preprint Link:  (pdf)
Date accepted: 2020-11-03
Date submitted: 2020-10-13 05:54
Submitted by: Moroz, Sergej
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • 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.

Author comments upon resubmission

Dear Editor,

Thank you for considering our paper for publication in SciPost Physics.

We thank the referees for careful readings of our manuscript and for their constructive comments, which have helped us to improve our work.

with best regards,

Dung Xuan Nguyen, Andrey Gromov, Sergej Moroz

Published as SciPost Phys. 9, 076 (2020)

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