2005/11/30 by Oliver Schnetz, Michael Thies, Konrad Urlichs · 4 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics #cond-mat.str-el #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1016/j.aop.2005.12.007
published as AnnalsPhys.321:2604-2637,2006 · 36 pages, 6 figures; v2: subsect. 4.8 added (zero temperature limit), minor corrections, 37 pages
arxiv created 2005/12/06 · openalex publication_date 2006/02/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The massive Gross-Neveu model is solved in the large N limit at finite temperature and chemical potential. The scalar potential is given in terms of Jacobi elliptic functions. It contains three parameters which are determined by transcendental equations. Self-consistency of the scalar potential is proved. The phase diagram for non-zero bare quark mass is found to contain a kink-antikink crystal phase as well as a massive fermion gas phase featuring a cross-over from light to heavy effective fermion mass. For zero bare quark mass we recover the three known phases kink-antikink crystal, massless fermion gas, and massive fermion gas. All phase transitions are shown to be of second order. Equations for the phase boundaries are given and solved numerically. Implications on condensed matter physics are indicated where our results generalize the bipolaron lattice in non-degenerate conducting polymers to finite temperature.