2004/02/29 by Oliver Schnetz, Michael Thies, Konrad Urlichs · 8 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #cond-mat.supr-con #hep-ph #hep-th
paper · pdf · doi:10.1016/j.aop.2004.06.009
published as Annals Phys. 314 (2004) 425-447 · 28 pages, 8 figures, v2: streamlined derivations using complex functions; 3 figures and 2 references added, v3: 6 references added, to appear in Ann. of Phys., v4: minor typos corrected
openalex publication_date 2004/12/01 · arxiv created 2005/11/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently the revised phase diagram of the (large N) Gross-Neveu model in 1+1 dimensions with discrete chiral symmetry has been determined numerically. It features three phases, a massless and a massive Fermi gas and a kink-antikink crystal. Here we investigate the phase diagram by analytical means, mapping the Dirac-Hartree-Fock equation onto the non-relativistic Schroedinger equation with the (single gap) Lame potential. It is pointed out that mathematically identical phase diagrams appeared in the condensed matter literature some time ago in the context of the Peierls-Froehlich model and ferromagnetic superconductors.