TY - JOUR
T1 - Interpolation between the Poisson and circular unitary ensemble
T2 - long-range statistics
AU - Ma, Jian Zhong
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1995/7/31
Y1 - 1995/7/31
N2 - Using a level dynamics approach, a one-parameter expression is derived for the number variance Σ(2)(s), which realizes a continuous interpolation between the Poisson and the circular unitary ensemble statistics. The leading term of its large s expansion is shown to be linearly dependent on s, in agreement with the semiclassical argument, and in contrast to the result by Kravtsov et al. [Phys. Rev. Lett. 72 (1994) 888] in mesoscopic physics. The influence of the conservation of the total level number on the large s behavior of the number variance is analyzed in detail.
AB - Using a level dynamics approach, a one-parameter expression is derived for the number variance Σ(2)(s), which realizes a continuous interpolation between the Poisson and the circular unitary ensemble statistics. The leading term of its large s expansion is shown to be linearly dependent on s, in agreement with the semiclassical argument, and in contrast to the result by Kravtsov et al. [Phys. Rev. Lett. 72 (1994) 888] in mesoscopic physics. The influence of the conservation of the total level number on the large s behavior of the number variance is analyzed in detail.
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U2 - 10.1016/0375-9601(95)00366-B
DO - 10.1016/0375-9601(95)00366-B
M3 - Article
AN - SCOPUS:58149318950
SN - 0375-9601
VL - 203
SP - 312
EP - 318
JO - Physics Letters A
JF - Physics Letters A
IS - 5-6
ER -