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Asymptotic Expansion for the Magnetoconductance Autocorrelation Function

✍ Scribed by Z. Pluhař; H.A. Weidenmüller

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
189 KB
Volume
272
Category
Article
ISSN
0003-4916

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✦ Synopsis

We complement a recent calculation (P. B. Gossiaux and the present authors, Ann. Phys.

(N.Y.) 268 (1998), 273) of the autocorrelation function of the conductance versus magnetic field strength for ballistic electron transport through microstructures with the shape of a classically chaotic billiard coupled to ideal leads. The function depends on the total number M of channels and the parameter t, which measures the difference in magnetic field strengths. We determine the leading terms in an asymptotic expansion for large t at fixed M, and for large M at fixed tÂM. We compare our results and the ones obtained in the previous paper with the squared Lorentzian suggested by semiclassical theory.

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