Dislocation-Mediated Melting in Superfluid Vortex Lattices
arXiv:0807.2436 · doi:10.1103/PhysRevA.78.043607
Abstract
We describe thermal melting of the two-dimensional vortex lattice in a rotating superfluid by generalizing the Halperin and Nelson theory of dislocation-mediated melting. and derive a melting temperature proportional to the renormalized shear modulus of the vortex lattice. The rigid-body rotation of the superfluid attenuates the effects of lattice compression on the energy of dislocations and hence the melting temperature, while not affecting the shearing. Finally, we discuss dislocations and thermal melting in inhomogeneous rapidly rotating Bose-Einstein condensates; we delineate a phase diagram in the temperature -- rotation rate plane, and infer that the thermal melting temperature should lie below the Bose-Einstein transition temperature.
9 pages, 2 figures
References in corpus (20)
- Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
- Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
- Observation of Tkachenko Oscillations in Rapidly Rotating Bose-Einstein Condensates
- Vortex states of rapidly rotating dilute Bose-Einstein condensates
- Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter
- Observation of Phase Defects in Quasi-2D Bose-Einstein Condensates
- Vortex proliferation in the Berezinskii-Kosterlitz-Thouless regime on a two-dimensional lattice of Bose-Einstein condensates
- The trapped two-dimensional Bose gas: from Bose-Einstein condensation to Berezinskii-Kosterlitz-Thouless physics
- Landau levels and the Thomas-Fermi structure of rapidly rotating Bose-Einstein condensates
- Kosterlitz-Thouless transition of the quasi two-dimensional trapped Bose gas
- Vortex core structure and global properties of rapidly rotating Bose-Einstein condensates
- Vortex lattices in rapidly rotating Bose-Einstein condensates: modes and correlation functions
- Ground State and Tkachenko Modes of a Rapidly Rotating Bose-Einstein Condensate in the Lowest Landau Level State
- Vortex Lattice Inhomogeneity in Spatially Inhomogeneous Superfluids
- Rapidly rotating Bose condensates
- Vortex lattice stability and phase coherence in three-dimensional rapidly rotating Bose condensates
- Vortex lattices in Bose-Einstein condensates: from the Thomas-Fermi to the lowest Landau level regime
- Thermal Fluctuations of Vortex Matter in Trapped Bose-Einstein Condensates
- Non-uniform vortex lattices in inhomogeneous rotating Bose-Einstein condensates
- Cooperative Ring Exchange and Quantum Melting of Vortex Lattices in Atomic Bose-Einstein Condensates
Cited by in corpus (9)
- Odd Viscosity and Odd Elasticity
- Topological defects in solids with odd elasticity
- Fracton-elasticity duality of two-dimensional superfluid vortex crystals: defect interactions and quantum melting
- Equatorial Waves in Rotating Bubble-Trapped Superfluids
- Thermal melting of a vortex lattice in a quasi two-dimensional Bose gas
- Disorder Induced Vortex Lattice Melting in Bose-Einstein Condensate
- Fluctuations and correlations in rotating Bose-Einstein condensates
- On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity
- Thermodynamics of two-dimensional bosons in the lowest Landau level