Eur. Phys. J. B 9, 299-307 (1999)
https://doi.org/10.1007/s100510050769

Unbounded fluctuations in transport through an integrable cavity

¹ Institut de Physique et Chimie des Matériaux de Strasbourg, 23 rue du Loess, 67037 Strasbourg Cedex, France
² Université Louis Pasteur, 3-5 rue de l'Université, 67084 Strasbourg Cedex, France

Received: 17 July 1998
Revised: 23 November 1998
Published online: 15 May 1999

Abstract

We derive a semiclassical scheme for the conductance through a rectangular cavity. The transmission amplitudes are expressed as a sum over families of trajectories rather than a sum over isolated trajectories. The contributing families are obtained from the evaluation of a finite number of continued fractions. We find that, contrary to the chaotic case, the conductance fluctuations increase with the incoming energy and the correlation function exhibits a singularity at the origin.