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Spatial field correlation, the building block of mesoscopic fluctuations

P. Sebbah·B. Hu·A. Z. Genack·R. Pnini·B. Shapiro
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Abstract

The absence of self averaging in mesoscopic systems is a consequence of long-range intensity correlation. Microwave measurements suggest and diagrammatic calculations confirm that the correlation function of the normalized intensity with displacement of the source and detector, $ΔR$ and $Δr$, respectively, can be expressed as the sum of three terms, with distinctive spatial dependences. Each term involves only the sum or the product of the square of the field correlation function, $F \equiv F_{E}^2$. The leading-order term is the product, the next term is proportional to the sum. The third term is proportional to $[F(ΔR)F(Δr) + [F(ΔR)+F(Δr)] + 1]$.

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P. Sebbah, B. Hu, A. Z. Genack, R. Pnini, B. Shapiro. 2001-12-16. Spatial field correlation, the building block of mesoscopic fluctuations. https://doi.org/10.1103/physrevlett.88.123901

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