Dataset for "The magnetized (2+1)-dimensional Gross-Neveu model at finite density"

<p>We perform a lattice study of the (2+1)-dimensional Gross-Neveu model in a background magnetic field <em>B</em> and at non-zero chemical potential <em>&mu;</em>. The complex-action problem arising in our simulations using overlap fermions is under control. For <em>B</em>=0 we observe a first-order phase transition in <em>&mu;</em> even at non-vanishing temperatures. Our main finding, however, is that the rich phase structure found in the limit of infinite flavor number <em>N</em>f is washed out by the fluctuations present at <em>N</em>f=1. We find no evidence for inverse magnetic catalysis, i.e., the decrease of the order parameter of chiral symmetry breaking with <em>B</em> for <em>&mu;</em> close to the chiral phase transition. Instead, the magnetic field tends to enhance the breakdown of chiral symmetry for all values of <em>&mu;</em> below the transition. Moreover, we find no trace of spatial inhomogeneities in the order parameter. We briefly comment on the potential relevance of our results for QCD.</p> <p>If you use this data, please cite the corresponding paper:<br> https://doi.org/10.48550/arXiv.2304.14812 (or better the not-yet-existing published version)</p>