Role of saddles in topologically driven phase transitions: the case of the d -dimensional spherical model.
Analyzing the d -dimensional spherical model, we show that underlying saddles, defined through a map in the configuration space, play a central role in driving the phase transition. At the phase transition point the underlying saddle energy reaches its lowest value, corresponding to the trivial boundary topological singularity.
Angelani
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Research Center SMC INFM-CNR, c/o Università di Roma "Sapienza," I-00185, Roma, Italy.
Ruocco
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