PlumX Metrics
Embed PlumX Metrics

Meissner phase for a model of oriented flux lines

Journal of Physics A: General Physics, ISSN: 0305-4470, Vol: 28, Issue: 23, Page: 6483-6499
1995
  • 3
    Citations
  • 0
    Usage
  • 2
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

Article Description

We consider a model of oriented, non-intersecting flux lines on the lattice Z, where each flux line is assigned a Boltzmann factor omega per unit length and a fugacity y. We prove the existence of free energy, both for y>0 and for y=-1, and show that it is independent of y for y>0. Using upper and lower bounds in terms of exactly solvable models, we rigorously establish that, for all y>0, the model has a phase transition at omega =1/d. For omega <1/d, we prove that the free energy and all bulk correlation functions vanish, implying the exclusion of flux lines from the bulk. In this regime, we also show that the flux line density decays at least exponentially with distance from the boundary.

Provide Feedback

Have ideas for a new metric? Would you like to see something else here?Let us know