Localization in one-dimensional relativistic quantum mechanics

Abhay Mehta, Sandeep Joshi () and Sudhir R. Jain
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Abhay Mehta: St. Xavier’s College
Sandeep Joshi: Nuclear Physics Division, Bhabha Atomic Research Centre
Sudhir R. Jain: Nuclear Physics Division, Bhabha Atomic Research Centre

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 2, 1-9

Abstract: Abstract We present the relativistic analogue of Anderson localization in one dimension. We use Dirac equation to calculate the transmission probability for a spin-½ particle incident upon a rectangular barrier. Using the transfer matrix formalism, we numerically compute the transmission probability for the case of a large number of identical barriers spread randomly in one dimension. The particular case when the incident particle has three component momentum and shows spin-flip phenomena is also considered. Our calculations suggest that the incident relativistic particle shows localization behaviour similar to that of Anderson localization. A number of results which are generalizations of the non-relativistic case are also obtained. Graphical abstract

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1140/epjb/e2019-100564-4

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