Numerical renormalization group study of random transverse Ising models in one and two space dimensions

Yu Cheng Lin, Naoki Kawashima, Ferenc Iglói, Heiko Rieger

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58 Citations (Scopus)

Abstract

The quantum critical behavior and the Griffiths-McCoy singularities of random quantum Ising ferromagnets are studied by applying a numerical implementation of the Ma-Dasgupta-Hu renormalization group scheme. We check the procedure for the analytically tractable one-dimensional case and apply our code to the quasi-one-dimensional double chain. For the latter we obtain identical critical exponents as for the simple chain implying the same universality class. Then we apply the method to the two-dimensional case for which we get estimates for the exponents that are compatible with a recent study in the same spirit.

Original languageEnglish
Pages (from-to)479-488
Number of pages10
JournalProgress of Theoretical Physics Supplement
Issue number138
DOIs
Publication statusPublished - Jan 1 2000

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ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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