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The synergistic formation of ``zero’’ (exponentially small or thermally activated) resistance states (ESRS) in high mobility two-dimensional electron systems (2DES) in a static magnetic field B and exposed to strong microwave radiation has attracted great interest. Strong (glassy) disorder apparently stabilizes the new synergistic phase, which can be exactly described by a nonperturbative (nonpolynomial) microscopic topological filamentary model. The model contains many novel features that arise from strong correlations, nanoscopic phase separation, and quasi-one dimensional back scattering.

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