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VOLUME 80 | ISSUE 5 | PAGE 389
Quantum phase transition for the BEC--BCS crossover in condensed matter physics and CPT violation in elementary particle physics
F. R. Klinkhamer*, G. E. Volovik+
*Institute for Theoretical Physics, University of Karlsruhe (TH), 76128 Karlsruhe, Germany
+Low Temperature Laboratory, Helsinki University of Technology, FIN-02015 HUT, Finland
and L. D. Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia

PACS: 11.30.Er, 71.10.-w, 73.43.Nq
We discuss the quantum phase transition which 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 the BEC-BCS crossover, provided the 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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