Relation between Energy Level Statistics and Phase Transition and its Application to the Anderson Model

E. Hofstetter; M. Schreiber

doi:10.1103/PhysRevB.49.14726

Relation between Energy Level Statistics and Phase Transition and its Application to the Anderson Model

凝聚态物理 2009-10-22 v1

作者: E. Hofstetter , M. Schreiber

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摘要

A general method to describe a second-order phase transition is discussed. It starts from the energy level statistics and uses of finite-size scaling. It is applied to the metal-insulator transition (MIT) in the Anderson model of localization, evaluating the cumulative level-spacing distribution as well as the Dyson-Metha statistics. The critical disorder $W_{c}=16.5$ and the critical exponent $\nu=1.34$ are computed.

关键词

phase transition critical phenomena directed percolation

引用

@article{arxiv.cond-mat/9402093,
  title  = {Relation between Energy Level Statistics and Phase Transition and its Application to the Anderson Model},
  author = {E. Hofstetter and M. Schreiber},
  journal= {arXiv preprint arXiv:cond-mat/9402093},
  year   = {2009}
}

备注

9 pages, Latex, 6 PostScript figures in uuencoded compressed tar file are appended

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