Universality class in the one-dimensional localization problem

Masanori Yamanaka, Yshai Avishai

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Weak disorder behavior of the Lyapunov exponent is investigated for a one-dimensional disordered system whose band structure and transfer matrix form are manifestly different from the standard ones encountered in tight-binding models. For diagonal disorder, the critical exponents governing the divergence of the localization length at zero disorder are identical with those predicted for tight-binding models. For off-diagonal disorder, a new exponent is found in one of the band edges, indicating a different universality class. The scaling functions near the different band edges are displayed, and their values for zero arguments are not identical at all edges.

Original languageEnglish
Pages (from-to)228-235
Number of pages8
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number1
StatePublished - 1 Jan 1996

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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