Microscopic origin of collective exponentially small resistance states

Details Microscopic origin of collective exponentially small resistance states Microscopic origin of collective exponentially small resistance states

2003-03-11

arxiv.org/abs/cond-mat/0303184v2

Physics

Condensed Matter

Materials Science

9 pages, submitted to Solid State Communications

Scientific paper

10.1016/S0038-1098(03)00350-8

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 $\Delta$. Here I show that the energy gap $\Delta$ is explained by a microscopic quantum model that involves the Prime Number Theorem, hitherto reserved for only mathematical contexts.

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