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Phys. Rev. Lett. 74, 383–386 (1995)

Orbital Magnetism in Ensembles of Ballistic Billiards

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Denis Ullmo, Klaus Richter, and Rodolfo A. Jalabert
Division de Physique Théorique, Institut de Physique Nucléaire, F-91406 Orsay Cedex, France

Received 1 November 1993; published in the issue dated 16 January 1995

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.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.74.383
DOI:
10.1103/PhysRevLett.74.383
PACS:
05.45.+b, 03.65.Sq, 05.30.Ch, 73.20.Dx