English

Finite-temperature phase transitions in $\nu=2$ bilayer quantum Hall systems

Mesoscale and Nanoscale Physics 2007-05-23 v1

Abstract

In this paper, the influence of an in-plane magnetic field B_\parallel on the finite-temperature phase transitions in nu=2 bilayer quantum Hall systems are examined. It is found that there can exist two types of finite-temperature phase transitions. The first is the Kosterlitz-Thouless (KT) transitions, which can have an unusual non-monotonic dependence on B_\parallel; the second type originates from the crossing of energy levels and always increases with B_\parallel. Based on these results, we point out that the threshold temperature observed in the inelastic light scattering experiments cannot be the KT transition temperature, because the latter shows a totally different B_\parallel-dependence as compared with the experimental observation. Instead, it should be the level-crossing temperature, which we found agrees with the B_\parallel-dependence observed. Moreover, combining the knowledge of these two transition temperatures, a complete finite-temperature phase diagram is presented.

Keywords

Cite

@article{arxiv.cond-mat/9909282,
  title  = {Finite-temperature phase transitions in $\nu=2$ bilayer quantum Hall systems},
  author = {Min-Fong Yang and Ming-Che Chang},
  journal= {arXiv preprint arXiv:cond-mat/9909282},
  year   = {2007}
}

Comments

RevTeX, 5 pages with 3 EPS figures included

R2 v1 2026-07-22T12:15:00.719Z