Renormalization approach to quasiperiodic tight binding models

Jukka A. Ketoja, Indubala I. Satij

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18 Citations (Scopus)

Abstract

Tight binding models such as the Harper equation exhibiting the localization transition are studied using a nonperturbative renormalization method. The self-similarity underlying the fractal wave function is described by an infinite set of universal scaling ratios. Our studies confirm the existence of a fat critical phase in perturbed Harper models describing quantum spin chains and shows the existence of two new universality classes. Furthermore, the decimation scheme proposed here provides a new method for finding the minimum and the maximum energy eigenvalues up to machine precision.

Original languageEnglish
Pages (from-to)64-70
Number of pages7
JournalPhysics Letters A
Volume194
Issue number1-2
DOIs
Publication statusPublished - 24 Oct 1994
MoE publication typeNot Eligible

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fats
fractals
eigenvalues
wave functions
scaling
energy

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Ketoja, Jukka A. ; Satij, Indubala I. / Renormalization approach to quasiperiodic tight binding models. In: Physics Letters A. 1994 ; Vol. 194, No. 1-2. pp. 64-70.
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Renormalization approach to quasiperiodic tight binding models. / Ketoja, Jukka A.; Satij, Indubala I.

In: Physics Letters A, Vol. 194, No. 1-2, 24.10.1994, p. 64-70.

Research output: Contribution to journalArticleScientificpeer-review

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