On the restoration of translational invariance in the critical quantum Ising model on a Fibonacci chain

M. Henkel, A. Patkos

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

The spectra of quasiperiodically modulated quantum Ising chains are investigated. For moderate values of the modulation strength a unified approach, based on the lifting of the degeneracy between the left- and right-moving eigenmodes is proposed. The local scaling behaviour reflecting partial restoration of translational invariance is established. Both the conformally invariant scaling for the lower modes and the multi-fractal scaling for the higher ones are described in terms of the same quantity. A simple but accurate calculational scheme is constructed, where the rearrangement in the level spectra is due to the interaction between left- and right-moving modes of the periodic system as induced by the quasiperiodic modulation.

Original languageEnglish
Article number006
Pages (from-to)5223-5241
Number of pages19
JournalJournal of Physics A: Mathematical and General
Volume25
Issue number20
DOIs
Publication statusPublished - Dec 1 1992

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'On the restoration of translational invariance in the critical quantum Ising model on a Fibonacci chain'. Together they form a unique fingerprint.

  • Cite this