TY - JOUR

T1 - Density of states for band random matrices with electric field

AU - Leitner, D. M.

AU - Feingold, M.

PY - 1993/12/1

Y1 - 1993/12/1

N2 - We present a long-range hopping tight-binding model in which the ensemble averaged density of states, rho (E), undergoes a gradual transition from a homogeneous form with almost no variation to strongly peaked behaviour as an external electric field grows. The model consists of N*N band random matrices of bandwidth b. The corresponding matrix elements, hij, have all vanishing average except on the diagonal where, (hii)= alpha i. Here, the parameter alpha plays the role of the electric field. We approximate the behaviour of the width, sigma E, of the local density of states, rho L(E), and use it to predict the value of alpha around which the transition is centred.

AB - We present a long-range hopping tight-binding model in which the ensemble averaged density of states, rho (E), undergoes a gradual transition from a homogeneous form with almost no variation to strongly peaked behaviour as an external electric field grows. The model consists of N*N band random matrices of bandwidth b. The corresponding matrix elements, hij, have all vanishing average except on the diagonal where, (hii)= alpha i. Here, the parameter alpha plays the role of the electric field. We approximate the behaviour of the width, sigma E, of the local density of states, rho L(E), and use it to predict the value of alpha around which the transition is centred.

UR - http://www.scopus.com/inward/record.url?scp=21344494272&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/26/24/012

DO - 10.1088/0305-4470/26/24/012

M3 - Article

AN - SCOPUS:21344494272

VL - 26

SP - 7367

EP - 7376

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 24

M1 - 012

ER -