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From relativistic quantum fields to condensed matter and back again: Updating the Gross-Neveu phase diagram

Michael Thies
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Abstract

During the last few years, the phase diagram of the large N Gross-Neveu model in 1+1 dimensions at finite temperature and chemical potential has undergone a major revision. Here we present a streamlined account of this development, collecting the most important results. Quasi-one-dimensional condensed matter systems like conducting polymers provide real physical systems which can be approximately described by the Gross-Neveu model and have played some role in establishing its phase structure. The kink-antikink phase found at low temperatures is closely related to inhomogeneous superconductors in the Larkin-Ovchinnikov-Fulde-Ferrell phase. With the complete phase diagram at hand, the Gross-Neveu model can now serve as a firm testing ground for new algorithms and theoretical ideas.

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Michael Thies. 2006-01-09. From relativistic quantum fields to condensed matter and back again: Updating the Gross-Neveu phase diagram. https://doi.org/10.1088/0305-4470%2F39%2F41%2Fs04

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