Quantum transport properties of one dimensional barriers: a simple approach to calculate transfer matrices

Authors

  • M. Rodríguez-Achach
  • R. Huerta-Quintanilla

Keywords:

Transfer matrix, superlattices, electronic transport

Abstract

We present a simple method for calculating the transfer matrix of a one dimensional system consisting of a number of rectangular barriers of arbitrary shape. We also make use of the Cayley-Hamilton theorem and the spectral theory of finite complex matrices to calculate high powers of matrices in a simple way, obtaining analytic expressions that are easily evaluated. We give an example of the transmission coefficient and conduction bands for a complex-basis superlattice. The method provides an intuitive approach to the construction for the transfer matrix.

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Published

2004-01-01

How to Cite

[1]
M. Rodríguez-Achach and R. Huerta-Quintanilla, “Quantum transport properties of one dimensional barriers: a simple approach to calculate transfer matrices”, Rev. Mex. Fis. E, vol. 50, no. 1 Jan-Jun, pp. 61–64, Jan. 2004.

Issue

Vol. 50 No. 1 Jan-Jun (2004): Revista Mexicana de Física E

Section

Artículos

License

Copyright (c) 2019 Revista Mexicana de Física E

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