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Clusters of solutions and replica symmetry breaking in random k-satisfiability
Random formula decomposition quantity index
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2015/8/21
We study the set of solutions of random k-satisfiability formulae through the cavity method. It is known that, for an interval of the clause-to-variables ratio, this decomposes into an exponenti...
Gauge Symmetry Breaking in Gauge Theories---In Search of Clarification
Gauge Symmetry Gauge Theories Clarification
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2011/8/11
Abstract: The paper investigates the spontaneous breaking of gauge symmetries in gauge theories from a philosophical angle. Local gauge symmetry itself cannot break spontaneously in quantized gauge th...
Suppressing the effect of disorders using time-reversal symmetry breaking in magneto-optical photonic crystals: An illustration with a four-port circulator
Magneto-optics Photonic crystals Optical resonances Channel add/drop fi lters Optical circulators Nonreciprocity
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2015/8/11
In integrated optical systems, nonreciprocal elements are indispensable devices that eliminate multi-path reflection between components. To miniaturizing these devices down to a single-wavelengt...