scholarly journals Energy-level statistics at the metal-insulator transition in anisotropic systems

2000 ◽  
Vol 61 (9) ◽  
pp. 6028-6035 ◽  
Author(s):  
Frank Milde ◽  
Rudolf A. Römer ◽  
Michael Schreiber
Keyword(s):  
Energy Level ◽  
Insulator Transition ◽  
Metal Insulator Transition ◽  
Metal Insulator ◽  
Level Statistics ◽  
Anisotropic Systems

scholarly journals ANDERSON LOCALIZATION AND SUPERSYMMETRY

2010 ◽  
Vol 24 (12n13) ◽  
pp. 1756-1788
Author(s):  
K. B. Efetov
Keyword(s):  
Disordered Systems ◽  
Anderson Localization ◽  
Insulator Transition ◽  
Metal Insulator Transition ◽  
Metal Insulator ◽  
Level Statistics ◽  
Disordered Metals

The supersymmetry method for study of disordered systems is shortly reviewed. The discussion starts with a historical introduction followed by an explanation of the idea of using Grassmann anticommuting variables for investigating disordered metals. After that the nonlinear supermatrix σ-model is derived. Solution of several problems obtained with the help of the σ-model is presented. This includes the problem of the level statistics in small metal grains, localization in wires and films, and Anderson metal–insulator transition. Calculational schemes developed for studying these problems form the basis of subsequent applications of the supersymmetry approach.

scholarly journals Multifractal analysis of the metal-insulator transition in anisotropic systems

1997 ◽  
Vol 55 (15) ◽  
pp. 9463-9469 ◽  
Author(s):  
Frank Milde ◽  
Rudolf A. Römer ◽  
Michael Schreiber
Keyword(s):  
Multifractal Analysis ◽  
Insulator Transition ◽  
Metal Insulator Transition ◽  
Metal Insulator ◽  
Anisotropic Systems
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