Random and aperiodic quantum spin chains: A comparative study

F. Iglói, D. Karevski, H. Rieger

Research output: Contribution to journalArticle

16 Citations (Scopus)


According to the Harris-Luck criterion the relevance of a fluctuating interaction at the critical point is connected to the value of the fluctuation exponent ω. Here we consider different types of relevant fluctuations in the quantum Ising chain and investigate the universality class of random as well as deterministic-aperiodic models. At the critical point the random and aperiodic systems behave similarly, due to the same type of extreme broad distribution of the energy scales at low energies. The critical exponents of some averaged quantities are found to be a universal function of ω, but some others do depend on other parameters of the distribution of the couplings. In the off-critical region there is an important difference between the two systems: there are no Griffiths singularities in aperiodic models.

Original languageEnglish
Pages (from-to)513-517
Number of pages5
JournalEuropean Physical Journal B
Issue number4
Publication statusPublished - Jan 1 1998


  • 05.50.+q lattice theory and statistics
  • 64.60.Ak renormalization group, fractal, and percolation studies of phase transitions -
  • 68.35.rh phase transitions and critical phenomena
  • Ising problems -

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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