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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References
G. E. Volovik and L. P. Gorkov, Sov. Phys. JETP 61, 843 (1985).
N. D. Mermin, Rev. Mod. Phys. 51, 591 (1979).
G. E. Volovik, The Universe in a Helium Droplet (Clarendon Press, Oxford, 2003).
D. Vollhardt and P. Wölfle, The Superfluid Phases of Helium 3 (Taylor and Francis, London, 1990).
C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. 92, 040403 (2004); cond-mat/0401554.
M. Greiner, C. A. Regal, and D. S. Jin, Nature 426, 537 (2003); cond-mat/0311172.
M. W. Zwierlein, C. A. Stan, C. H. Schunck, et al., Phys. Rev. Lett. 92, 120403 (2004); cond-mat/0403049.
J. Kinast, S. L. Hemmer, M. E. Gehm, et al., Phys. Rev. Lett. 92, 150402 (2004); cond-mat/0403540.
M. Bartenstein, A. Altmeyer, S. Riedl, et al., Phys. Rev. Lett. 92, 120401 (2004); cond-mat/0401109.
J. Zhang, E. G. M. van Kempen, T. Bourdel, et al., quantph/0406085.
C. H. Schunck, M. W. Zwierlein, C. A. Stan, et al., condmat/0407373.
S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967); A. Salam, in Elementary Particle Theory, Ed. by N. Svartholm (Almqvist, Stockholm, 1968), p. 367; S. L. Glashow, J. Iliopoulos, and L. Maiani, Phys. Rev. D 2, 1285 (1970); C. Bouchiat, J. Iliopoulos, and P. Meyer, Phys. Lett. B 38, 519 (1972); D. J. Gross and R. Jackiw, Phys. Rev. D 6, 477 (1972).
F. R. Klinkhamer and G. E. Volovik, hep-th/0403037.
F. R. Klinkhamer, JETP Lett. 79, 451 (2004); hepph/0403285.
F. R. Klinkhamer, hep-ph/0407200.
S. M. Carroll, G. B. Field, and R. Jackiw, Phys. Rev. D 41, 1231 (1990).
C. Adam and F. R. Klinkhamer, Nucl. Phys. B 607, 247 (2001); hep-ph/0101087.
M. Perez-Victoria, J. High Energy Phys. 0104, 032 (2001); hep-th/0102021.
R. Lehnert, J. Math. Phys. 45, 3399 (2004); hepph/0401084.
M. Stone and R. Roy, Phys. Rev. B 69, 184511 (2004); cond-mat/0308034.
G. E. Volovik and V. A. Konyshev, JETP Lett. 47, 250 (1988).
M. Perez-Victoria, Phys. Rev. Lett. 83, 2518 (1999); hep-th/9905061.
A. A. Andrianov, P. Giacconi, and R. Soldati, J. High Energy Phys. 0202, 030 (2002); hep-th/0110279.
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From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 80, No. 5, 2004, pp. 389–394.
Original English Text Copyright © 2004 by Klinkhamer, Volovik.
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Klinkhamer, F.R., Volovik, G.E. Quantum phase transition for the BEC-BCS crossover in condensed matter physics and CPT violation in elementary particle physics. Jetp Lett. 80, 343–347 (2004). https://doi.org/10.1134/1.1825119
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DOI: https://doi.org/10.1134/1.1825119