{"title":"Beth-Uhlenbeck equation for the thermodynamics of fluctuations in a generalised 2+1D Gross-Neveu model","authors":"Biplab Mahato, David Blaschke, Dietmar Ebert","doi":"arxiv-2409.10507","DOIUrl":null,"url":null,"abstract":"We study a generalised version of Gross-Neveu model in 2+1 dimensions. The\nmodel is inspired from graphene which shows a linear dispersion relation near\nthe Dirac points. The phase structure and the thermodynamic properties in the\nmean field approximation have been studied before. Here we go beyond the mean\nfield level by deriving a Beth-Uhlenbeck equation for Gaussian fluctuations,\nsolutions of which we explore numerically, for the first time including their\nmomentum dependence. We discuss the excitonic mass, fluctuation pressure and\nphase shifts. We also perform a comparison with the NJL model in 3+1 dimension\nand discuss its implication for graphene.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Nuclear Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.10507","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study a generalised version of Gross-Neveu model in 2+1 dimensions. The
model is inspired from graphene which shows a linear dispersion relation near
the Dirac points. The phase structure and the thermodynamic properties in the
mean field approximation have been studied before. Here we go beyond the mean
field level by deriving a Beth-Uhlenbeck equation for Gaussian fluctuations,
solutions of which we explore numerically, for the first time including their
momentum dependence. We discuss the excitonic mass, fluctuation pressure and
phase shifts. We also perform a comparison with the NJL model in 3+1 dimension
and discuss its implication for graphene.
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