Griffiths-McCoy singularities in random quantum spin chains: Exact results

Ferenc Iglói, István A. Kovács

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We consider random quantum (tight-binding, XX, and Ising) spin chains in the off-critical region and study their Griffiths-McCoy singularities. These are obtained from the density of states of the low-energy excitations, which is exactly calculated by the Dyson-Schmidt method. In large finite systems, the low-energy excitations are shown to follow the statistics of extremes and their distribution is given by the Fréchet form. The relation between the Dyson-Schmidt technique and the strong disorder renormalization group method is also discussed.

Original languageEnglish
Article number144203
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume77
Issue number14
DOIs
Publication statusPublished - Apr 8 2008

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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