Anderson localization in a spatially correlated random potential under a strong magnetic field

S. Hikami , E. Brézin

The density of state and the conductivity in the presence of a strong magnetic field are calculated by perturbation expansions for a Gaussian random potential correlated at different positions in two dimensional space. A parameter η is introduced which characterizes the ratio of the length defined by the impurity potential correlations to the magnetic length. For large η, a 1/η expansion shows that the conductivity vanishes. For small η one recovers results consistent with that of the unitary non-linear σ model.

Mots clés: Anderson model; electrical conductivity of solids; electronic density of states; galvanomagnetic effects

Domaines: Articles anciens

S. Hikami, E. Brézin. Anderson localization in a spatially correlated random potential under a strong magnetic field. Journal de Physique, 1985, 46 (12), pp.2021-2029. ⟨10.1051/jphys:0198500460120202100⟩. ⟨jpa-00210150⟩