Quantum transport properties of one dimensional barriers: a simple approach to calculate transfer matrices
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedad Mexicana de Física A.C.
2004
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| _version_ | 1876440621215907840 |
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| author | M. Rodríguez Achach |
| author_facet | M. Rodríguez Achach |
| contents | Quantum transport properties of one dimensional barriers: a simple approach to calculate transfer matrices M. Rodríguez Achach R. Huerta Quintanilla Física, Astronomía y Matemáticas superlattices Transfer matrix electronic transport We present a simple method for calculating the transfer matrix of a one dimensional system consisting of a number of rectangular barriers ofarbitrary shape. We also make use of the Cayley-Hamilton theorem and the spectral theory of finite complex matrices to calculate high powersof matrices in a simple way, obtaining analytic expressions that are easily evaluated. We give an example of the transmission coefficient andconduction bands for a complex-basis superlattice. The method provides an intuitive approach to the construction for the transfer matrix. 2004 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57063109 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.En1 Vol.50 |
| format | Artículo científico |
| id | redalyc_57063109 |
| institution | Redalyc |
| language | en |
| publishDate | 2004 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Quantum transport properties of one dimensional barriers: a simple approach to calculate transfer matrices M. Rodríguez Achach Física, Astronomía y Matemáticas superlattices Transfer matrix electronic transport Quantum transport properties of one dimensional barriers: a simple approach to calculate transfer matrices M. Rodríguez Achach R. Huerta Quintanilla Física, Astronomía y Matemáticas superlattices Transfer matrix electronic transport We present a simple method for calculating the transfer matrix of a one dimensional system consisting of a number of rectangular barriers ofarbitrary shape. We also make use of the Cayley-Hamilton theorem and the spectral theory of finite complex matrices to calculate high powersof matrices in a simple way, obtaining analytic expressions that are easily evaluated. We give an example of the transmission coefficient andconduction bands for a complex-basis superlattice. The method provides an intuitive approach to the construction for the transfer matrix. 2004 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57063109 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.En1 Vol.50 |
| title | Quantum transport properties of one dimensional barriers: a simple approach to calculate transfer matrices |
| topic | Física, Astronomía y Matemáticas superlattices Transfer matrix electronic transport |
| url | https://www.redalyc.org/articulo.oa?id=57063109 |