MATRIX MODEL APPROACH TO THE FLUX-LATTICE MELTING IN 2-DIMENSIONAL SUPERCONDUCTORS

被引：3
|
作者：
FUJITA, A
HIKAMI, S
机构：
[1] Department of Pure and Applied Sciences, University of Tokyo, Meguro-ku, Tokyo 153
来源：
PHYSICAL REVIEW B | 1995年 / 51卷 / 22期
关键词：
D O I：
10.1103/PhysRevB.51.16259
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We investigate a gauged matrix model in the large-N limit that is closely related to the superconductor fluctuation and the flux-lattice melting in two dimensions. With the use of the saddle-point method, the free energy is expanded up to eighth order for the coupling constant g. In the case that the coefficient of the quadratic term of the Ginzburg-Landau matrix model is negative, a critical point g=gc is obtained in the large-N limit and the relation between this phase transition and the two-dimensional flux-lattice melting transition is discussed. © 1995 The American Physical Society.
引用
收藏
页码：16259 / 16266
页数：8
相关论文
共 50 条
  • [41] UNIVERSALITY OF THE MATRIX MODEL APPROACH TO 2-DIMENSIONAL QUANTUM-GRAVITY
    ZEN, FP
    MODERN PHYSICS LETTERS A, 1991, 6 (15) : 1387 - 1396
  • [42] VORTEX DYNAMICS BELOW THE FLUX-LATTICE MELTING TRANSITION IN YBA2CU2O7-DELTA
    SAFAR, H
    GAMMEL, PL
    HUSE, DA
    ALERS, GB
    BISHOP, DJ
    LEE, WC
    GIAPINTZAKIS, J
    GINSBERG, DM
    PHYSICAL REVIEW B, 1995, 52 (09): : 6211 - 6214
  • [43] LATTICE MODEL FOR 2-DIMENSIONAL ELECTRON LIQUID
    ITOH, N
    ICHIMARU, S
    NAGANO, S
    PHYSICAL REVIEW B, 1978, 17 (07): : 2862 - 2865
  • [44] VORTEX-LATTICE MELTING IN 2-DIMENSIONAL SUPERCONDUCTING NETWORKS AND FILMS
    FRANZ, M
    TEITEL, S
    PHYSICAL REVIEW B, 1995, 51 (10): : 6551 - 6574
  • [45] 2-STAGE MELTING OF A 2-DIMENSIONAL COLLOIDAL LATTICE WITH DIPOLE INTERACTIONS
    KUSNER, RE
    MANN, JA
    KERINS, J
    DAHM, AJ
    PHYSICAL REVIEW LETTERS, 1994, 73 (23) : 3113 - 3116
  • [46] CLUSTER EXPANSION APPROACH OF FRUSTRATION ON A 2-DIMENSIONAL LATTICE
    GABAY, M
    GAREL, T
    PHYSICS LETTERS A, 1978, 65 (02) : 135 - 136
  • [47] DIMENSIONAL AND FLUX LATTICE TRANSITIONS IN ARTIFICIALLY LAYERED SUPERCONDUCTORS
    BRUYNSERAEDE, Y
    TEMST, K
    OSQUIGUIL, E
    VANHAESENDONCK, C
    GILABERT, A
    SCHULLER, IK
    PHYSICA SCRIPTA, 1992, T42 : 37 - 45
  • [48] TRANSFER MATRIX FOR 2-DIMENSIONAL ISING MODEL
    ABRAHAM, DB
    STUDIES IN APPLIED MATHEMATICS, 1971, 50 (01) : 71 - &
  • [49] Simple analytical model of vortex-lattice melting in two-dimensional superconductors
    Zhuravlev, V
    Maniv, T
    PHYSICAL REVIEW B, 1999, 60 (06): : 4277 - 4284
  • [50] A RESCALING APPROACH TO 2-DIMENSIONAL AND 3-DIMENSIONAL LATTICE SPECTRA
    SOUTHERN, BW
    LOLY, PD
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (03): : 525 - 537
12345