Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2005-04-04
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
7 pages, to appear in Physical Review B
Scientific paper
10.1103/PhysRevB.71.235307
We derive a set of coupled non-linear algebraic equations for the asymptotics of the Poisson kernel distribution describing the statistical properties of a two-terminal double-barrier chaotic billiard (or ballistic quantum dot). The equations are calculated from a diagrammatic technique for performing averages over the unitary group, proposed by Brouwer and Beenakker [J. Math. Phys. 37, 4904 (1996)]. We give strong analytical evidences that these equations are equivalent to a much simpler polynomial equation calculated from a recent extension of Nazarov's circuit theory [A. M. S. Macedo, Phys. Rev. B 66, 033306 (2002)]. These results offer interesting perspectives for further developments in the field via the direct conversion of one approach into the other.
Barbosa Anderson L. R.
Macedo Antonio M. S.
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