Universality of the metal-insulator transition in three-dimensional disordered systems

被引:24
作者
Brndiar, J. [1 ]
Markos, P. [1 ]
机构
[1] Slovak Acad Sci, Inst Phys, Bratislava 84511, Slovakia
关键词
D O I
10.1103/PhysRevB.74.153103
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The universality of the metal-insulator transition in a three-dimensional disordered system is confirmed by the numerical analysis of the scaling properties of the electronic wave functions. We prove that the critical exponent nu and the multifractal dimensions d(q) are independent on the microscopic definition of the disorder and universal along the critical line which separates the metallic and the insulating regime.
引用
收藏
页数:4
相关论文
共 19 条
[1]   SCALING THEORY OF LOCALIZATION - ABSENCE OF QUANTUM DIFFUSION IN 2 DIMENSIONS [J].
ABRAHAMS, E ;
ANDERSON, PW ;
LICCIARDELLO, DC ;
RAMAKRISHNAN, TV .
PHYSICAL REVIEW LETTERS, 1979, 42 (10) :673-676
[2]   MOBILITY EDGE IN THE 3 DIMENSIONAL ANDERSON MODEL [J].
BULKA, BR ;
KRAMER, B ;
MACKINNON, A .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1985, 60 (01) :13-17
[3]  
Cain P., 1999, ANN PHYS, V8, pSI
[4]   Scaling at the energy-driven metal-insulator transition and the thermoelectric power [J].
Croy, A ;
Römer, RA .
PHYSICA STATUS SOLIDI C - CURRENT TOPICS IN SOLID STATE PHYSICS, VOL 3, NO 2, 2006, 3 (02) :334-+
[5]   Critical generalized inverse participation ratio distributions [J].
Cuevas, E .
PHYSICAL REVIEW B, 2002, 66 (23) :1-4
[6]   Fluctuations of the correlation dimension at metal-insulator transitions -: art. no. 016401 [J].
Cuevas, E ;
Ortuño, M ;
Gasparian, V ;
Pérez-Garrido, A .
PHYSICAL REVIEW LETTERS, 2002, 88 (01) :4-164014
[7]   Fluctuations of the inverse participation ratio at the Anderson transition [J].
Evers, F ;
Mirlin, AD .
PHYSICAL REVIEW LETTERS, 2000, 84 (16) :3690-3693
[8]   Multifractality of wave functions at the quantum Hall transition revisited [J].
Evers, F ;
Mildenberger, A ;
Mirlin, AD .
PHYSICAL REVIEW B, 2001, 64 (24)
[9]   THE ANDERSON TRANSITION - NEW NUMERICAL RESULTS FOR THE CRITICAL EXPONENTS [J].
KRAMER, B ;
BRODERIX, K ;
MACKINNON, A ;
SCHREIBER, M .
PHYSICA A, 1990, 167 (01) :163-174
[10]   LOCALIZATION - THEORY AND EXPERIMENT [J].
KRAMER, B ;
MACKINNON, A .
REPORTS ON PROGRESS IN PHYSICS, 1993, 56 (12) :1469-1564