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arXiv · 2005.12317

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

Dung Xuan Nguyen·Andrey Gromov·Sergej Moroz
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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.

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cond-mat.quant-gascond-mat.softcond-mat.str-elcond-mat.supr-conhep-th

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Dung Xuan Nguyen, Andrey Gromov, Sergej Moroz. 2020-05-25. Fracton-elasticity duality of two-dimensional superfluid vortex crystals: defect interactions and quantum melting. https://doi.org/10.21468/scipostphys.9.5.076

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