Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2002-06-25
European Physical Journal B, 30, 239-251 (2002)
Physics
Condensed Matter
Disordered Systems and Neural Networks
28 pages, LaTeX, 13 eps figures (3 color)
Scientific paper
10.1140/epjb/e2002-00377-4
We present the exact diagonalization of the Schrodinger operator corresponding to a periodic potential with N deltas of different couplings, for arbitrary N. This basic structure can repeat itself an infinite number of times. Calculations of band structure can be performed with a high degree of accuracy for an infinite chain and of the correspondent eigenlevels in the case of a random chain. The main physical motivation is to modelate quantum wire band structure and the calculation of the associated density of states. These quantities show the fundamental properties we expect for periodic structures although for low energy the band gaps follow unpredictable patterns. In the case of random chains we find Anderson localization; we analize also the role of the eigenstates in the localization patterns and find clear signals of fractality in the conductance. In spite of the simplicity of the model many of the salient features expected in a quantum wire are well reproduced.
Cervero Jose M.
Rodriguez Alberto
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