English

Continuous thermal melting of a two-dimensional Abrikosov vortex solid

Superconductivity 2013-05-29 v2

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.

Keywords

Cite

@article{arxiv.1009.0263,
  title  = {Continuous thermal melting of a two-dimensional Abrikosov vortex solid},
  author = {J. Iaconis and R. G. Melko and A. A. Burkov},
  journal= {arXiv preprint arXiv:1009.0263},
  year   = {2013}
}

Comments

4 pages, 2 figures; published version

R2 v1 2026-06-21T16:08:14.653Z