Scaling Behavior of Level Statistics in Quantum Hall Regime

Journal of the Physical Society of Japan

Volumn 65, Issue 6, 1996, Pages 1734-1743

  Ono, Yoshiyuki ^a   Ohtsuki, Tomi ^b   Kramer, Bernhard ^c  

^a TOHO UNIVERSITY   (Japan)

^b SOPHIA UNIVERSITY   (Japan)

^c UNIVERSITY OF HAMBURG   (Germany)

Author keywords

GUE; GUE GOE crossover; Level spacing distribution; Level statistics; Localization; Quantum Hall effect; Random matrix theory; Scaling behavior

Indexed keywords

EID: 0030488303     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.65.1734     Document Type: Article

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60. In fact, a detailed observation of Fig. 7 tells us that the data for x = 0 show a slight size dependence in the large K region. This is thought to be due to the fact that the smaller the system size, the larger the original energy is if the value of K is fixed; namely the effect of localization appears more strongly for smaller system sizes. This consideration is consistent with the direction of the size dependence of the data for x = 0 which is seen near K ∼ 30 in Fig. 7.