Tail states and unusual localization transition in low-dimensional Anderson model with power-law hopping

The two-dimensional Anderson model of localization with random hopping

We examine the localization properties of the 2D Anderson Hamiltonian with off-diagonal disorder. Investigating the behavior of the participation numbers of eigenstates as well as studying their multifractal properties, we find states in the center of the band which show critical behavior up to the system size N = 200×200 considered. This result is confirmed by an independent analysis of the lo...

Localization in the Anderson Model with Long Range Hopping

We give a proof of exponential localization in the Anderson model with long range hopping based on a multiscale analysis.

Band tail states and the Anderson transition in amorphous silicon

We compute approximations to the electronic states near the gap in a large and realistic model of a-Si. The spatial Ž . structure of the states are computed explicitly and discussed. The properties of the local to extended Anderson transition is described. A qualitative picture of the Anderson transition is described. Implications for conductivity and doping are briefly discussed. q 1998 Elsevi...

Disorder-driven transition in a chain with power-law hopping

Phase diagram of the three-dimensional Anderson model of localization with random hopping

Abstract. We examine the localization properties of the three-dimensional (3D) Anderson Hamiltonian with off-diagonal disorder using the transfer-matrix method (TMM) and finitesize scaling (FSS). The nearest-neighbor hopping elements are chosen randomly according to tij ∈ [c− 1/2, c+1/2]. We find that the off-diagonal disorder is not strong enough to localize all states in the spectrum in contr...