Eur. Phys. J. B 80, 485-492 (2011)
https://doi.org/10.1140/epjb/e2011-20062-9

The geometric mean density of states and its application to one-dimensional nonuniform systems

¹ Department of Physics, Nanjing Normal University, Nanjing, 210097, P.R. China
² Center of Optofluidic Technology, College of Science, Nanjing University of Posts and Telecommunications, Nanjing, 210003, P.R. China

Corresponding author: ^a pqtong@njnu.edu.cn

Received: 22 January 2011
Published online: 24 March 2011

Abstract

By using the measure of the ratio R of the geometric mean of the local density of states (LDOS) and the arithmetic mean of LDOS, the localization properties can be efficiently characterized in one-dimensional nonuniform single-electron and two-interacting-particle (TIP) systems. For single-electron systems, the extended and localized states can be distinguished by the ratio R. There are sharp transitions in the ratio R at mobility edges. For TIP systems, the localization properties of particle states can also be reflected by the ratio R. These results are in accordance with what obtained by other methods. Therefore, the ratio R is a suitable quantity to characterize the localization properties of particle states for these 1D nonuniform systems.