Issue
EPL
Volume 84, Number 5, December 2008
Article Number 57006
Number of page(s) 5
Section Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties
DOI http://dx.doi.org/10.1209/0295-5075/84/57006
Published online 16 December 2008
EPL, 84 (2008) 57006
DOI: 10.1209/0295-5075/84/57006

Improved transfer matrix method without numerical instability

Huiqiong Yin and Ruibao Tao

Department of Physics, Fudan University - Shanghai 200433, China

rbtao@fudan.edu.cn

received 19 June 2008; accepted in final form 3 November 2008; published December 2008
published online 16 December 2008

Abstract
A new improved transfer matrix method (TMM) is presented. It is shown that the method not only overcomes the numerical instability found in the original TMM, but also greatly improves the scalability of computation. The new improved TMM has no extra cost of computing time as the length of the homogeneous scattering region becomes large. The comparison between the scattering matrix method (SMM) and our new TMM is given. It clearly shows that our new method is much faster than the SMM.

PACS
72.25.Dc - Spin polarized transport in semiconductors.
73.23.-b - Electronic transport in mesoscopic systems.
85.75.Nn - Hybrid Hall devices.

© EPLA 2008