Orthogonality catastrophe in a mesoscopic conductor due to a time-dependent flux

H. W. Lee; L. S. Levitov

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Orthogonality catastrophe in a mesoscopic conductor due to a time-dependent flux

H. W. Lee·L. S. Levitov

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Abstract

We consider quantum fluctuations of current in a metallic loop induced by varying magnetic flux. The dependence of the fluctuations on the flux change $Φ$ contains a logarithmically divergent term periodic in $Φ$ with the period $Φ_0=hc/e$. The fluctuation is smallest near $Φ=nΦ_0$. The divergence is explained by a comparison with the orthogonality catastrophe problem. The $Φ_0-$periodicity is related with the discreteness of "attempts" in the binomial statistics picture of charge fluctuations.

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H. W. Lee, L. S. Levitov. 1993-12-02. Orthogonality catastrophe in a mesoscopic conductor due to a time-dependent flux. https://arxiv.org/abs/cond-mat/9312013

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