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

Abstract

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.

arXiv comment5 pages, 5 figures; v2 minor corrections, version for PRL

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