TY - JOUR

T1 - Multifractality

T2 - generic property of eigenstates of 2D disordered metals.

AU - Falko, Vladimir

AU - Efetov, K. B.

PY - 1995/12/10

Y1 - 1995/12/10

N2 - The distribution function of local amplitudes of eigenstates of a two-dimensional disordered metal is calculated. Although the distribution of comparatively small amplitudes is governed by laws similar to those known hom the random matrix theory, its decay at larger amplitudes is non-universal and, in dimension d = 2, has a logarithmically normal asymptotic dependence. The inverse participation numbers calculated on the basis of the distribution function indicate a multifractal behaviour in different fundamental symmetry classes. Our calculation is based on the derivation of the non-trivial saddle-point of the reduced supersymmetric sigma-model.

AB - The distribution function of local amplitudes of eigenstates of a two-dimensional disordered metal is calculated. Although the distribution of comparatively small amplitudes is governed by laws similar to those known hom the random matrix theory, its decay at larger amplitudes is non-universal and, in dimension d = 2, has a logarithmically normal asymptotic dependence. The inverse participation numbers calculated on the basis of the distribution function indicate a multifractal behaviour in different fundamental symmetry classes. Our calculation is based on the derivation of the non-trivial saddle-point of the reduced supersymmetric sigma-model.

U2 - 10.1209/0295-5075/32/8/002

DO - 10.1209/0295-5075/32/8/002

M3 - Journal article

VL - 32

SP - 627

EP - 632

JO - EPL

JF - EPL

SN - 0295-5075

IS - 8

ER -