Fractal Conductance Fluctuations in Electron Billiards: A Random Matrix Theory Approach
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| Natura: | Artículo científico |
| Lingua: | en |
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Sociedade Brasileira de Física
2006
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| _version_ | 1876435082715070464 |
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| author | F. A. Pinheiro |
| author_facet | F. A. Pinheiro |
| contents | Fractal Conductance Fluctuations in Electron Billiards: A Random Matrix Theory Approach F. A. Pinheiro C. H. Lewenkopf Física, Astronomía y Matemáticas Electron billiards Random Matrix Theory Fractal conductance fluctuations Motivated by recent experiments and theoretical works that contradict the original explanation for fractalconductance fluctuations (FCF) in electron billiards, based on the mixed structure of the classical phase space,we propose an alternative approach to investigate FCF using Random Matrix Theory (RMT). By means of asemiclassical estimate for value of the magnetic correlation field BC we conclude that most of the experiments onFCF were performed for magnetic fields around or greater than BC. This strongly suggests that the appropriateexplanation for the observed FCF should rely on the absence of long-range correlations and not on the structureof the classical phase space. This idea is supported by a numerical study of parametric variations within theframework of RMT, which validates our surmise that the observed FCF actually reflect a diffusive scenario forelectronic transpor 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46436339 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2A Vol.36 |
| format | Artículo científico |
| id | redalyc_46436339 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Fractal Conductance Fluctuations in Electron Billiards: A Random Matrix Theory Approach F. A. Pinheiro Física, Astronomía y Matemáticas Electron billiards Random Matrix Theory Fractal conductance fluctuations Fractal Conductance Fluctuations in Electron Billiards: A Random Matrix Theory Approach F. A. Pinheiro C. H. Lewenkopf Física, Astronomía y Matemáticas Electron billiards Random Matrix Theory Fractal conductance fluctuations Motivated by recent experiments and theoretical works that contradict the original explanation for fractalconductance fluctuations (FCF) in electron billiards, based on the mixed structure of the classical phase space,we propose an alternative approach to investigate FCF using Random Matrix Theory (RMT). By means of asemiclassical estimate for value of the magnetic correlation field BC we conclude that most of the experiments onFCF were performed for magnetic fields around or greater than BC. This strongly suggests that the appropriateexplanation for the observed FCF should rely on the absence of long-range correlations and not on the structureof the classical phase space. This idea is supported by a numerical study of parametric variations within theframework of RMT, which validates our surmise that the observed FCF actually reflect a diffusive scenario forelectronic transpor 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46436339 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2A Vol.36 |
| title | Fractal Conductance Fluctuations in Electron Billiards: A Random Matrix Theory Approach |
| topic | Física, Astronomía y Matemáticas Electron billiards Random Matrix Theory Fractal conductance fluctuations |
| url | https://www.redalyc.org/articulo.oa?id=46436339 |