2020/05/31 by Dung Xuan Nguyen, Dung Nguyen, Andrey Gromov +1 · 2 citations
Physics and Astronomy · #Crystal (programming language) #Duality (order theory) #Phase (matter) #Phase transition #Quantum many-body systems #Quantum vortex #Quantum, superfluid, helium dynamics #Superfluidity #Supersolid #Topological Materials and Phenomena #Topological defect #Vortex #cond-mat.quant-gas #cond-mat.soft #cond-mat.str-el #cond-mat.supr-con #hep-th
paper · pdf · doi:10.21468/scipostphys.9.5.076
published as SciPost Phys. 9, 076 (2020) · Scipost Physics accepted version
openalex created_date 2020/06/05 · arxiv created 2020/11/09 · openalex publication_date 2020/11/19 · arxiv updated 2020/11/25 · openalex updated_date 2026/08/06
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.