Improved transfer matrix method without numerical instabilityHuiqiong Yin and Ruibao Tao
Department of Physics, Fudan University - Shanghai 200433, China
received 19 June 2008; accepted in final form 3 November 2008; published December 2008
published online 16 December 2008
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.
72.25.Dc - Spin polarized transport in semiconductors.
73.23.-b - Electronic transport in mesoscopic systems.
85.75.Nn - Hybrid Hall devices.
© EPLA 2008