Decimation studies of Bloch electrons in a magnetic field

Higher-order limit cycles underlying the phase diagram

Jukka A. Ketoja, Indubala I. Satija, Juan Carlos Chaves

Research output: Contribution to journalArticleScientificpeer-review

8 Citations (Scopus)

Abstract

A decimation method is applied to the tight binding model describing the two-dimensional electron gas with next-nearest-neighbor interaction in the presence of an inverse golden mean magnetic flux. The critical phase with fractal spectrum and wave function exists in a finite window in two-dimensional parameter space introducing universal features. Our decimation scheme identifies nine quantitative universality classes characterized by the limit cycles of the decimation equations. The limit cycles describe the self-similarity of the wave functions and divide them into three broader qualitative classes where the wave functions are either symmetric, asymmetric, or exhibit a type of shifted symmetry. We conjecture that the rest of the critical phase, where the fractal wave functions do not exhibit self-similarity, is characterized by strange attractors of the renormalization equations. The results are compared with those of Han et al. [Phys. Rev. B 50, 11 365 (1994)] on the same model.

Original languageEnglish
Pages (from-to)3026-3029
Number of pages4
JournalPhysical Review B
Volume52
Issue number5
DOIs
Publication statusPublished - 1 Jan 1995
MoE publication typeNot Eligible

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Wave functions
Phase diagrams
phase diagrams
wave functions
Magnetic fields
cycles
Electrons
magnetic fields
Fractals
fractals
electrons
strange attractors
Two dimensional electron gas
Magnetic flux
electron gas
magnetic flux
symmetry
interactions

Cite this

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Decimation studies of Bloch electrons in a magnetic field : Higher-order limit cycles underlying the phase diagram. / Ketoja, Jukka A.; Satija, Indubala I.; Chaves, Juan Carlos.

In: Physical Review B, Vol. 52, No. 5, 01.01.1995, p. 3026-3029.

Research output: Contribution to journalArticleScientificpeer-review

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