Fermats last theorem, the Riemann hypothesis, and synergistic glasses

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dc.creatorPhillips, J. C.
dc.date2003-07-12
dc.date.accessioned2026-07-07T02:52:19Z
dc.date.available2026-07-07T02:52:19Z
dc.descriptionThe synergistic formation of zero (exponentially small) resistance states (ESRS) in high mobility two-dimensional electron systems (2DES) in a static magnetic field B and exposed to strong microwave (MW) radiation exhibits hysteresis and an anomalous logarithmic dependence on MW power. These synergistically organized states appear to be associated with a new kind of energy gap Δ. Here I show that a microscopic quantum model that involves the Prime Number Theorem explains the MW power dependence of the energy gap Δ. The explanation involves remarkable convergence with the most abstract ideas of modern mathematics.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0307301
dc.identifierhttp://arxiv.org/abs/cond-mat/0307301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21799
dc.subjectMesoscale and Nanoscale Physics
dc.titleFermats last theorem, the Riemann hypothesis, and synergistic glasses
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