Random matrix theory and metal-insulator transition in disordered superconductors

V. Kagalovsky; B. Horovitz; Y. Avishai

doi:10.1016/S1386-9477(01)00403-9

Random matrix theory and metal-insulator transition in disordered superconductors

V. Kagalovsky, B. Horovitz, Y. Avishai

Department of Physics

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

Abstract

Level statistics for symmetry class D of random matrix ensembles is investigated. It arises in models of non-interacting quasiparticles in disordered superconductors without time-reversal and spin-rotation invariance. In the metallic regime, the nearest-neighbor spacing distribution (NNSD) reproduces exactly the Wigner surmise for GUE as one should expect in the presence of magnetic field, whereas in the localized regime, level repulsion is supressed. NNSD therefore reflects some basic symmetries of the system while ignoring particle-hole symmetries.

Original language	English
Pages (from-to)	627-629
Number of pages	3
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	12
Issue number	1-4
DOIs	https://doi.org/10.1016/S1386-9477(01)00403-9
State	Published - 1 Jan 2002
Event	14th International Conference on the - Prague, Czech Republic Duration: 30 Jul 2001 → 3 Aug 2001

Keywords

D class
Level statistics
Network model

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Condensed Matter Physics

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10.1016/S1386-9477(01)00403-9

Cite this

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title = "Random matrix theory and metal-insulator transition in disordered superconductors",

abstract = "Level statistics for symmetry class D of random matrix ensembles is investigated. It arises in models of non-interacting quasiparticles in disordered superconductors without time-reversal and spin-rotation invariance. In the metallic regime, the nearest-neighbor spacing distribution (NNSD) reproduces exactly the Wigner surmise for GUE as one should expect in the presence of magnetic field, whereas in the localized regime, level repulsion is supressed. NNSD therefore reflects some basic symmetries of the system while ignoring particle-hole symmetries.",

keywords = "D class, Level statistics, Network model",

author = "V. Kagalovsky and B. Horovitz and Y. Avishai",

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T1 - Random matrix theory and metal-insulator transition in disordered superconductors

AU - Kagalovsky, V.

AU - Horovitz, B.

AU - Avishai, Y.

N1 - Funding Information: The work was supported in part by Sacta–Rashi foundation (VK) and by DIP German Israeli program. VK appreciates stimulating discussions with Hans Weidenmüller, Thomas Seligman, Yoram Alhassid and Richard Berkovits.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - Level statistics for symmetry class D of random matrix ensembles is investigated. It arises in models of non-interacting quasiparticles in disordered superconductors without time-reversal and spin-rotation invariance. In the metallic regime, the nearest-neighbor spacing distribution (NNSD) reproduces exactly the Wigner surmise for GUE as one should expect in the presence of magnetic field, whereas in the localized regime, level repulsion is supressed. NNSD therefore reflects some basic symmetries of the system while ignoring particle-hole symmetries.

AB - Level statistics for symmetry class D of random matrix ensembles is investigated. It arises in models of non-interacting quasiparticles in disordered superconductors without time-reversal and spin-rotation invariance. In the metallic regime, the nearest-neighbor spacing distribution (NNSD) reproduces exactly the Wigner surmise for GUE as one should expect in the presence of magnetic field, whereas in the localized regime, level repulsion is supressed. NNSD therefore reflects some basic symmetries of the system while ignoring particle-hole symmetries.

KW - D class

KW - Level statistics

KW - Network model

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U2 - 10.1016/S1386-9477(01)00403-9

DO - 10.1016/S1386-9477(01)00403-9

M3 - Conference article

AN - SCOPUS:0035239536

SN - 1386-9477

VL - 12

SP - 627

EP - 629

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

IS - 1-4

T2 - 14th International Conference on the

Y2 - 30 July 2001 through 3 August 2001

ER -

Random matrix theory and metal-insulator transition in disordered superconductors

Abstract

Keywords

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