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Volumn 71, Issue 12, 2005, Pages

Effects of large disorder on the Hofstadter butterfly

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; ELECTRON TRANSPORT; MAGNETIC FIELD; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; MOLECULAR PHYSICS; QUANTUM MECHANICS;

EID: 20044379310     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.125310     Document Type: Article
Times cited : (14)

References (30)
  • 7
    • 20044388316 scopus 로고    scopus 로고
    • private communication
    • P. Chaikin (private communication).
    • Chaikin, P.1
  • 11
    • 20044364921 scopus 로고    scopus 로고
    • note
    • There is a considerable amount of work on the effects of disorder on the Hofstadter butterfly, for tight-binding models. Such models correspond to having the periodic modulation as the dominant energy scale, and investigate the interplay between disorder potential and the cyclotron energy scales. This is very different from the regime of interest to us, where the cyclotron energy is the dominant scale while disorder competes with the periodic modulation.
  • 18
    • 20044369151 scopus 로고    scopus 로고
    • Physica B 227, 61 (1996).
    • (1996) Physica B , vol.227 , pp. 61
  • 25
    • 20044373631 scopus 로고    scopus 로고
    • note
    • 0. This can be understood in the spirit of the Bohr-Sommerfeld quantization rule, since it ensures constructive interference of the wave function around the contour. Except for the most localized states, found at the bottom and the top of the band, all other localized states are such that they enclose large numbers of magnetic fluxes. Imposing the exact quantization condition (which is numerically time consuming) leads to a negligible change in the value of the allowed equipotential value with respect to a randomly chosen value. Since such small changes do not influence the shape of the density of states, we ignore imposing this quantization condition in obtaining the semiclassical densities of states.
  • 26
    • 84856132110 scopus 로고    scopus 로고
    • We used the package FFTW2.1.3 available on-line at http:// www.fftw.org


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.