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

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.

arXiv commentScipost Physics accepted version

References in corpus (41)

• Many-Body Physics with Ultracold Gases
• Local stabilizer codes in three dimensions without string logical operators
• Rapidly Rotating Atomic Gases
• Fracton Topological Order, Generalized Lattice Gauge Theory and Duality
• Quantum Glassiness
• Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
• A New Kind of Topological Quantum Order: A Dimensional Hierarchy of Quasiparticles Built from Stationary Excitations
• Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids
• Generalized Electromagnetism of Subdimensional Particles: A Spin Liquid Story
• Fracton-Elasticity Duality
• Artificial gauge fields in materials and engineered systems
• Observation of Tkachenko Oscillations in Rapidly Rotating Bose-Einstein Condensates
• The Ginzburg-Landau Theory of Type II superconductors in magnetic field
• Two-Dimensional Vortex Lattice Melting
• Towards classification of Fracton phases: the multipole algebra
• Dual gauge field theory of quantum liquid crystals in two dimensions
• Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter
• Chiral Topological Elasticity and Fracton Order
• Redundancies in Nambu-Goldstone Bosons
• Tkachenko modes of vortex lattices in rapidly rotating Bose-Einstein condensates
• Interstitials, Vacancies, and Supersolid Order in Vortex Crystals
• Effective Lagrangian for Nonrelativistic Systems
• Emergent Gravity at a Lifshitz Point from a Bose Liquid on the Lattice
• Crystal-to-Fracton Tensor Gauge Theory Dualities
• Symmetry Enriched Fracton Phases from Supersolid Duality
• Duality in 2+1D Quantum Elasticity: superconductivity and Quantum Nematic Order
• Fractons from vector gauge theory
• Fractonic line excitations : an inroad from 3d elasticity theory
• Melting of the vortex lattice through intermediate hexatic fluid in a-MoGe thin film
• Vortex lattce melting in 2D superconductors and Josephson arrays
• Fractonic Chern-Simons and BF theories
• Symmetry enforced fractonicity and $2d$ quantum crystal melting
• Vortex lattices in rapidly rotating Bose-Einstein condensates: modes and correlation functions
• Effective field theory of a vortex lattice in a bosonic superfluid
• Extreme sensitivity of the vortex state in a-MoGe films to radio-frequency electromagnetic perturbation
• Two-dimensional melting via sine-Gordon duality
• Competing Compressible and Incompressible Phases in Rotating Atomic Bose Gases at Filling Factor $\nu =2$
• Bosonic superfluid on lowest Landau level
• Interstitials, Vacancies and Dislocations in Flux-Line Lattices: A Theory of Vortex Crystals, Supersolids and Liquids
• Collective Modes in Supersolid 4He
• Dislocation-Mediated Melting in Superfluid Vortex Lattices

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• Dual gauge theory formulation of planar quasicrystal elasticity and fractons
• A symmetry principle for gauge theories with fractons
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• Fracton physics of spatially extended excitations. II. Polynomial ground state degeneracy of exactly solvable models
• Fracton-elasticity duality in twisted moiré superlattices
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• Quantum vortex lattice: Lifshitz duality, topological defects and multipole symmetries
• Surface waves and bulk Ruderman mode of a bosonic superfluid vortex crystal in the lowest Landau level
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• On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity
• Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum
• Fractons in curved space
• Quadrupole gauge theory: anti-Higgs mechanism and elastic dual
• Odd elasticity in Hamiltonian formalism
• Non-equilibrium charge-vortex duality
• Effective field theory for the superfluid vortex lattice from coset construction
• Defects in Wigner crystals: fracton-elasticity duality and vacancy proliferation
• Emergent fracton strings from covariant bi-form gauge field theory
• Precise correspondence between the p-wave chiral superfluid and the spinless bosonic superfluid in the lowest Landau level