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28 March 2024
 
  » arxiv » arxiv.0705.1303

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Magic magnetoresonances in metallic nanowires
A. S. Alexandrov ; V. V. Kabanov ; I. O. Thomas ;
Date 9 May 2007
Subject Mesoscopic Systems and Quantum Hall Effect (cond-mat.mes-hall)
AbstractWe examine the interplay between size quantization and Landau quantization in the De Haas-Van Alphen oscillations of clean, metallic nanowires for two different sets of boundary conditions -- `soft’ (first treated in Alexandrov and Kabanov (Phys. Rev. Lett. {f 95}, 076601 (2005) (AK))), and `hard’, as represented by the boundary conditions of an infinite round well. In both cases we find that there exist {em three} fundamental frequencies as opposed to the one found in bulk systems. In addition, we find that the additional `magic resonances’ of AK are analytically well behaved, and that they may be also observed in the infinite well case, where they are damped. We also compare the numerically generated energy spectrum of the infinite well potential with that of our analytic approximation, and present numerical calculations of the oscillatory portions of the thermodynamic quantities for both models.
Source arXiv, arxiv.0705.1303
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