Continuous thermal melting of a two-dimensional Abrikosov vortex solid

Abstract

We examine the question of thermal melting of the triangular Abrikosov vortex solid in two-dimensional superconductors or neutral superfluids. We introduce a model, which combines lowest Landau level (LLL) projection with the magnetic Wannier basis to represent degenerate eigenstates in the LLL. Solving the model numerically via large-scale Monte Carlo simulations, we find clear evidence for a continuous melting transition, in perfect agreement with the Kosterlitz-Thouless-Halperin-Nelson-Young theory and with recent experiments.

4 pages, 2 figures; published version

References in corpus (2)

• Direct observation of melting in a 2-D superconducting vortex lattice
• Fractional Quantum Hall Effect and Featureless Mott Insulators

Cited by in corpus (4)

• Imaging superconducting vortex core and lattice with the scanning tunneling microscope
• Thermal melting of a vortex lattice in a quasi two-dimensional Bose gas
• Vortex-lattice melting in two-dimensional superconductors in intermediate fields
• On the nature of the phase transitions in two-dimensional type II superconductors