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

Ferenc Iglói*, István A. Kovács

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 (US)
Article number144203
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number14
StatePublished - Apr 8 2008

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


Dive into the research topics of 'Griffiths-McCoy singularities in random quantum spin chains: Exact results'. Together they form a unique fingerprint.

Cite this