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13 December 2024
 
  » arxiv » cond-mat/9710228

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Transport through cavities with tunnel barriers: a semiclassical analysis
Markus Schreier ; Klaus Richter ; Gert-Ludwig Ingold ; Rodolfo A. Jalabert ;
Date 22 Oct 1997
Journal Eur. Phys. J. B 3, 387-396 (1998)
Subject Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall
Affiliation Univ. Augsburg, MPI-PKS Dresden, Universite Louis Pasteur Strasbourg
AbstractWe study the influence of a tunnel barrier on the quantum transport through a circular cavity. Our analysis in terms of classical trajectories shows that the semiclassical approaches developed for ballistic transport can be adapted to deal with the case where tunneling is present. Peaks in the Fourier transform of the energy-dependent transmission and reflection spectra exhibit a nonmonotonic behaviour as a function of the barrier height in the quantum mechanical numerical calculations. Semiclassical analysis provides a simple qualitative explanation of this behaviour, as well as a quantitative agreement with the exact calculations. The experimental relevance of the classical trajectories in mesoscopic and microwave systems is discussed.
Source arXiv, cond-mat/9710228
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