Localization and delocalization in dirty superconducting wires

被引:81
作者
Brouwer, PW [1 ]
Furusaki, A
Gruzberg, IA
Mudry, C
机构
[1] Cornell Univ, Atom & Solid State Phys Lab, Ithaca, NY 14853 USA
[2] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan
[3] Univ Calif Santa Barbara, Inst Theoret Phys, Santa Barbara, CA 93106 USA
[4] Paul Scherrer Inst, CH-5232 Villigen, Switzerland
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevLett.85.1064
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present Fokker-Planck equations that describe transport of heat and spin in dirty unconventional superconducting quantum wires. Four symmetry classes are distinguished, depending on the presence or absence of time-reversal and spin-rotation invariance. In the absence of spin-rotation symmetry, heat transport is anomalous in that the mean conductance decays like 1/root L instead of exponentially fast for large enough length L of the wire. The Fokker-Planck equations in the presence of time-reversal symmetry are solved exactly and the mean conductance for quasiparticle transport is calculated for the crossover from the diffusive to the localized regime.
引用
收藏
页码:1064 / 1067
页数:4
相关论文
共 23 条
[11]   EQUIVALENCE OF THE FOKKER-PLANCK APPROACH AND THE NONLINEAR SIGMA-MODEL FOR DISORDERED WIRES IN THE UNITARY SYMMETRY CLASS [J].
FRAHM, K .
PHYSICAL REVIEW LETTERS, 1995, 74 (23) :4706-4709
[12]  
GORKOV LP, 1985, JETP LETT+, V41, P253
[13]   Exact exponents for the spin quantum Hall transition [J].
Gruzberg, IA ;
Ludwig, AWW ;
Read, N .
PHYSICAL REVIEW LETTERS, 1999, 82 (22) :4524-4527
[14]   DISORDERED WIRES FROM A GEOMETRIC VIEWPOINT [J].
HUFFMANN, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (24) :5733-5744
[15]   Quantum Hall plateau transitions in disordered superconductors [J].
Kagalovsky, V ;
Horovitz, B ;
Avishai, Y ;
Chalker, JT .
PHYSICAL REVIEW LETTERS, 1999, 82 (17) :3516-3519
[16]   Time-reversal symmetry breaking superconductivity in Sr2RuO4 [J].
Luke, GM ;
Fudamoto, Y ;
Kojima, KM ;
Larkin, MI ;
Merrin, J ;
Nachumi, B ;
Uemura, YJ ;
Maeno, Y ;
Mao, ZQ ;
Mori, Y ;
Nakamura, H ;
Sigrist, M .
NATURE, 1998, 394 (6693) :558-561
[17]  
MORITA Y, CONDMAT9907001
[18]   RANDOM-MATRIX MODELS WITH ADDITIONAL INTERACTIONS [J].
MUTTALIB, KA .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (05) :L159-L164
[19]   Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect [J].
Read, N ;
Green, D .
PHYSICAL REVIEW B, 2000, 61 (15) :10267-10297
[20]   Quasiparticle localization in superconductors with spin-orbit scattering [J].
Senthil, T ;
Fisher, MPA .
PHYSICAL REVIEW B, 2000, 61 (14) :9690-9698