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Quantum phase transition for the BEC-BCS crossover in condensed matter physics and CPT violation in elementary particle physics
Authors:F R Klinkhamer  G E Volovik
Institution:(1) Institute for Theoretical Physics, University of Karlsruhe (TH), 76128 Karlsruhe, Germany;(2) Low Temperature Laboratory, Helsinki University of Technology, FIN-02015 HUT, Finland;(3) Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 117940, Russia
Abstract:We discuss the quantum phase transition that separates a vacuum state with fully gapped fermion spectrum from a vacuum state with topologically protected Fermi points (gap nodes). In the context of condensed-matter physics, such a quantum phase transition with Fermi point splitting may occur for a system of ultracold fermionic atoms in the region of BEC-BCS crossover, provided Cooper pairing occurs in the non-s-wave channel. For elementary particle physics, the splitting of Fermi points may lead to CPT violation, neutrino oscillations, and other phenomena.
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