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Title: Statistics of Mesoscopic Fluctuations of Quantum Capacitance
Authors: Kumar, N.
Jayannavar, A.M.
Issue Date: 30-Jan-1997
Publisher: World Scientific Publishing Company
Citation: Modern Physics Letters B, 1997, Vol.11, p53-56
Abstract: The Thouless formula (G = (e2/h)(Ec/Δ) for the two-probe dc conductance G of a d-dimensional mesoscopic cube is re-analysed to relate its quantum capacitance CQ to the reciprocal of the level spacing Δ. To this end, the escape time-scale τ occurring in the Thouless correlation energy (Ec = ℏ/τ) is interpreted as the time constant τ = RCQ with RG ≡ 1, giving at once CQ = (e2/2π Δ). Thus, the statistics of the quantum capacitance is directly related to that of the level spacing, which is well known from the Random Matrix Theory for all the three universality classes of statistical ensembles. The basic questions of how intrinsic this quantum capacitance can arise purely quantum-resistively, and of its observability vis-à-vis the external geometric capacitance that combines with it in series, are discussed.
Description: Restricted Access.
ISSN: 0217-9849
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Copyright: 1997 World Scientific Publishing Company
Appears in Collections:Research Papers (TP)

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