Fracton-elasticity duality of two-dimensional superfluid vortex crystals: defect interactions and quantum melting
Dung Xuan Nguyen, Andrey Gromov, Sergej Moroz
SciPost Phys. 9, 076 (2020) · published 19 November 2020
- doi: 10.21468/SciPostPhys.9.5.076
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Abstract
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.
Cited by 37
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Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Dung Nguyen,
- 1 Andrey Gromov,
- 2 3 Sergej Moroz
- 1 Brown University
- 2 Technische Universität München / Technical University of Munich [TUM]
- 3 Munich Center for Quantum Science and Technology [MCQST]
Funders for the research work leading to this publication