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Phys. Rev. Lett. 73, 142–145 (1994)

Mesoscopic transport through chaotic cavities: A random S-matrix theory approach

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Harold U. Baranger and Pier A. Mello
AT&T Bell Laboratories 1D-230, 600 Mountain Avenue, Murray Hill, New Jersey 07974-0636
Instituto de Fisica, Universidad Nacional Autónoma de México, 01000 Mexico, Distrito Federal, Mexico

Received 15 March 1994; published in the issue dated 4 July 1994

We deduce the effects of quantum interference on the conductance of chaotic cavities by using a statistical ansatz for the S matrix. Assuming that the circular ensembles describe the S matrix, we find that the conductance fluctuation and weak-localization magnitudes are universal: they are independent of the size and shape of the cavity if the number of incoming modes, N, is large. The limit of small N is more relevant experimentally; here we calculate the full distribution of the conductance and find striking differences as N changes or a magnetic field is applied.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.73.142
DOI:
10.1103/PhysRevLett.73.142
PACS:
72.20.My, 05.45.+b, 72.15.Gd