Renormalization group study of random quantum magnets

Istvn A. Kovcs*, Ferenc Iglói

*Corresponding author for this work

Research output: Contribution to journalArticle

30 Scopus citations

Abstract

We have developed a very efficient numerical algorithm of the strong disorder renormalization group method to study the critical behaviour of the random transverse field Ising model, which is a prototype of random quantum magnets. With this algorithm we can renormalize an N-site cluster within a time NlogN, independently of the topology of the graph, and we went up to N ∼ 4 × 106. We have studied regular lattices with dimension D ≤ 4 as well as Erds-Rényi random graphs, which are infinite dimensional objects. In all cases the quantum critical behaviour is found to be controlled by an infinite disorder fixed point, in which disorder plays a dominant role over quantum fluctuations. As a consequence the renormalization procedure as well as the obtained critical properties are asymptotically exact for large systems. We have also studied Griffiths singularities in the paramagnetic and ferromagnetic phases and generalized the numerical algorithm for other random quantum systems.

Original languageEnglish (US)
Article number404204
JournalJournal of Physics Condensed Matter
Volume23
Issue number40
DOIs
StatePublished - Oct 12 2011

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Renormalization group study of random quantum magnets'. Together they form a unique fingerprint.

  • Cite this