Statistical fluctuations of the parametric derivative of the transmission and reflection coefficients in absorbing chaotic cavities

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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Modified version as accepted in PRE

Scientific paper

10.1103/PhysRevE.72.036202

Motivated by recent theoretical and experimental works, we study the statistical fluctuations of the parametric derivative of the transmission T and reflection R coefficients in ballistic chaotic cavities in the presence of absorption. Analytical results for the variance of the parametric derivative of T and R, with and without time-reversal symmetry, are obtained for both asymmetric and left-right symmetric cavities. These results are valid for arbitrary number of channels, in completely agreement with the one channel case in the absence of absorption studied in the literature.

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