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Localization of relativistic electrons in a one-dimensional disordered system

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URI: https://hdl.handle.net/10016/15206
ISSN: 0305-4470 (print version)
ISSN: 1361-6447 (online version)
DOI: 10.1088/0305-4470/27/9/037
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localization_JPAMG_1994_ps.pdf (426.64 KB)
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1994-05-07
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Institute of Physics
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We address the question as to whether relativistic effects have any influence on localization phenomena in disordered systems. Starting from the Schradinger and Dirac equations for Kronig-Penney potentials, we derive their discrete counterparts within the framework of the linear combination of atomic orbitals and tight-binding approaches. As a specific example we subsequently focus on substitutional binary alloys. We show that taking relativity into account leads to many important differences with respect to the results obtained in the non-relativistic approximation. The predicted behaviour of localization length can be very relevant in several experimental contexts.
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Journal of Physics A: Mathematical and General, vol. 27, n. 9, 7 may. 1994. Pp. 3285–3291
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