https://doi.org/10.1140/epjd/e2005-00155-0
CPA theory for the giant Hall effect in disordered nanoscale systems
National Laboratory of Solid State Microstructures
and Department of Physics, Nanjing University, Nanjing 210093,
P.R. China
Corresponding author: a gjin@nju.edu.cn
Received:
6
September
2004
Published online:
13
July
2005
We present a theory based on the Green's-function formalism to study the so-called giant Hall effect in disordered nanoscale systems in which the metallic sites build up percolating networks. The disordered Green's functions are solved in the coherent potential approximation (CPA). This method is an extension of the Blackman-Esterling-Beck approach. The crucial point is that we are able to predict the quantum percolation threshold near which the Hall coefficient is enhanced by several orders of magnitude.
PACS: 71.23.An – Theories and models; localized states / 71.30.+h – Metal-insulator transitions and other electronic transitions / 73.21.-b – Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005
