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Microscopic origin of collective exponentially small resistance states

J. C. Phillips
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Abstract

The formation of "zero" (exponentially small) resistance states (ESRS) in high mobility two-dimensional electron systems (2DES) in a static magnetic field B and subjected to strong microwave (MW) radiation has attracted great theoretical interest. These states appear to be associated with a new kind of energy gap $Δ$. Here I show that the energy gap $Δ$ is explained by a microscopic quantum model that involves the Prime Number Theorem, hitherto reserved for only mathematical contexts.

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J. C. Phillips. 2003-03-17. Microscopic origin of collective exponentially small resistance states. https://doi.org/10.1016/s0038-1098(03)00350-8

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