Scaling near the quantum chaos border in interacting Fermi systems

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 62, Issue 6, 2000, Pages

  Song, Pil Hun ^a  

^a Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; FERMI LEVEL; MATHEMATICAL MODELS; QUANTUM THEORY;

FINITE SIZE SCALING; QUANTUM CHAOS; WIGNER-DYSON STATISTICS;

CHAOS THEORY;

EID: 0034500655     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.R7575     Document Type: Article

References (16)

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12. We may set (Formula presented) without loss of generality. Under this condition, the relations between parameters become simpler to yield (Formula presented) and (Formula presented), for example.
13. We note that within the finite range of (Formula presented) (Formula presented), the functional form of (Formula presented), which was suggested in Ref. 4, does not differ seriously from a power form of (Formula presented).
14. We may try a more refined analysis through higher cumulants of (Formula presented) assuming that just at the transition point, (Formula presented) will be given by a critical form (Formula presented), which is insensitive to U and j. Unfortunately, such an approach is not successful within our data accuracy.
15. K. B. Efetov, Physica (Amsterdam) 167A, 119 (1990).
16. For example, the correlation of the diagonal energies for the layer model decays very slowly with the distance as (Formula presented), where C is a constant of order of (Formula presented) and (Formula presented) is the distance between two Slater determinants or two vertices characterized by i and j respectively. In contrast, it is zero unless (Formula presented) for the Anderson models.