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Orbital Magnetism in Ensembles of Ballistic Billiards

DOI to cite this document:
Ullmo, Denis ; Richter, Klaus ; Jalabert, Rodolfo A.
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Date of publication of this fulltext: 05 Aug 2009 13:29


We calculate the magnetic response of ensembles of small two-dimensional structures at finite temperatures. Using semiclassical methods and numerical calculation we demonstrate that only short classical trajectories are relevant. The magnetic susceptibility is enhanced in regular systems, where these trajectories appear in families. For ensembles of squares we obtain a large paramagnetic susceptibility, in good agreement with recent measurements in the ballistic regime.

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