Hopping between random locations: spectrum and instanton

被引:10
|
作者
Zee, A [1 ]
Affleck, I
机构
[1] Univ Calif Santa Barbara, Inst Theoret Phys, Santa Barbara, CA 93106 USA
[2] Univ British Columbia, Canadian Inst Adv Res, Vancouver, BC V6T 1Z1, Canada
[3] Univ British Columbia, Dept Phys & Astron, Vancouver, BC V6T 1Z1, Canada
关键词
D O I
10.1088/0953-8984/12/41/312
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
Euclidean random matrices appear in a broad class of physical problems involving disorder. The problem of determining their spectra can be mapped, using the replica method, into the study of a scalar field theory with an interaction of the type e(psi2). We apply the instanton method to study their spectral tails.
引用
收藏
页码:8863 / 8873
页数:11
相关论文
共 50 条
  • [21] Instanton approach to the langevin motion of a particle in a random potential
    Lopatin, AV
    Vinokur, VM
    PHYSICAL REVIEW LETTERS, 2001, 86 (09) : 1817 - 1820
  • [22] MESONIC CORRELATION-FUNCTIONS IN THE RANDOM INSTANTON VACUUM
    SHURYAK, EV
    VERBAARSCHOT, JJM
    NUCLEAR PHYSICS B, 1993, 410 (01) : 55 - 89
  • [23] ELECTRON HOPPING IN THE PRESENCE OF RANDOM FLUX
    PRYOR, C
    ZEE, A
    PHYSICAL REVIEW B, 1992, 46 (05): : 3116 - 3119
  • [24] Zero modes in the random hopping model
    Brouwer, PW
    Racine, E
    Furusaki, A
    Hatsugai, Y
    Morita, Y
    Mudry, C
    PHYSICAL REVIEW B, 2002, 66 (01): : 142041 - 1420411
  • [25] HOPPING TRANSPORT ON LATTICES WITH RANDOM TRAPS
    PRONIN, KA
    PHYSICA B & C, 1986, 141 (01): : 76 - 86
  • [26] Random matrix approach to a special kind of quantum random hopping
    Yang, S
    Zhai, H
    CHINESE PHYSICS LETTERS, 2002, 19 (05) : 628 - 631
  • [27] FERMION MASS-SPECTRUM IN GENERALIZED INSTANTON BACKGROUND
    SCHELLEKENS, AN
    NUCLEAR PHYSICS B, 1985, 250 (02) : 252 - 278
  • [28] Correlation functions for an elastic string in a random potential: Instanton approach
    Blanter, YM
    Vinokur, VM
    PHYSICAL REVIEW B, 2002, 66 (13):
  • [29] Random locations of periodic stationary processes
    Shen, Jie
    Shen, Yi
    Wang, Ruodu
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2019, 129 (03) : 878 - 901
  • [30] OPTIMAL LOCATIONS ON A LINE WITH RANDOM UTILITIES
    DEPALMA, A
    LIU, Q
    THISSE, JF
    TRANSPORTATION SCIENCE, 1994, 28 (01) : 63 - 69