STATISTICS OF TRANSFER-MATRICES FOR DISORDERED QUANTUM THIN METALLIC SLABS

被引:3
作者
DEVILLARD, P
机构
[1] HLRZ, c/o KFA Jülich, Jülich 1, D-5170
关键词
LOCALIZATION; RANDOM MATRICES; CONDUCTANCE FLUCTUATIONS;
D O I
10.1007/BF01020873
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the quantum transport problem of a tight-binding Anderson model, the statistics of eigenvalues for the transfer matrices of thin disordered slabs is studied. Numerical simulations indicate that the probability distribution of nearest neighbor eigenvalue spacing and the DELTA-3 statistics have already become close to that of the Gaussian orthogonal ensemble for sample lengths of the order of the mean free path, provided that transverse localization effects are not important. An intuitive argument is given why this should occur independently of the size of the matrix. Therefore, good mixing of the channels is not essential for obtaining Gaussian orthogonal ensemble type statistics and universal conductance fluctuations.
引用
收藏
页码:373 / 387
页数:15
相关论文
共 27 条
  • [1] ALTSHULER BL, 1985, JETP LETT+, V42, P359
  • [2] NEW METHOD FOR SCALING THEORY OF LOCALIZATION .2. MULTICHANNEL THEORY OF A WIRE AND POSSIBLE EXTENSION TO HIGHER DIMENSIONALITY
    ANDERSON, PW
    [J]. PHYSICAL REVIEW B, 1981, 23 (10): : 4828 - 4836
  • [3] [Anonymous], 1967, RANDOM MATRICES
  • [4] RANDOM MATRICES AND INFORMATION THEORY
    BALIAN, R
    [J]. NUOVO CIMENTO B, 1968, 57 (01): : 183 - &
  • [5] LENGTH-INDEPENDENT VOLTAGE FLUCTUATIONS IN SMALL DEVICES
    BENOIT, A
    UMBACH, CP
    LAIBOWITZ, RB
    WEBB, RA
    [J]. PHYSICAL REVIEW LETTERS, 1987, 58 (22) : 2343 - 2346
  • [6] BOHIGAS O, 1984, MATH COMPUTATIONAL M, P1
  • [7] BUTTIKER M, 1988, PHYS REV LETT, V61, P459
  • [8] DYSON FJ, 1962, J MATH PHYS, V3, P140, DOI 10.1063/1.1703773
  • [9] RELATION BETWEEN CONDUCTIVITY AND TRANSMISSION MATRIX
    FISHER, DS
    LEE, PA
    [J]. PHYSICAL REVIEW B, 1981, 23 (12): : 6851 - 6854
  • [10] NUMERICAL STUDY OF CONDUCTANCE FLUCTUATIONS IN DISORDERED METALS
    GIORDANO, N
    [J]. PHYSICAL REVIEW B, 1987, 36 (08): : 4190 - 4196