Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems

Mar, 2008
5 pages
Published in:
  • Phys.Rev.Lett. 100 (2008) 200404
e-Print:

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Abstract: (arXiv)
We derive a new exact self-consistent crystalline condensate in the 1+1 dimensional chiral Gross-Neveu model. This also yields a new exact crystalline solution for the one dimensional Bogoliubov-de Gennes equations and the Eilenberger equation of semiclassical superconductivity. We show that the functional gap equation can be reduced to a solvable nonlinear equation, and discuss implications for the temperature-chemical potential phase diagram.
  • 11.30.Rd
  • 71.10.Pm
  • 11.10.Kk
  • symmetry: chiral
  • crystal: condensation
  • superconductivity
  • critical phenomena
  • free energy
  • Gross-Neveu model: chiral
  • Jona-Lasinio-Nambu model