Dataset for "Magnetic catalysis in the (2+1)-dimensional Gross-Neveu model"

We study the Gross-Neveu model in 2 + 1 dimensions in an external magnetic field B. We<br> first summarize known mean-field results, obtained in the limit of large flavor number N f , before<br> presenting lattice results using the overlap discretization to study one reducible fermion flavor,<br> N f = 1. Our findings indicate that the magnetic catalysis phenomenon, i.e., an increase of the chiral<br> condensate with the magnetic field, persists beyond the mean-field limit for temperatures below the<br> chiral phase transition and that the critical temperature grows with increasing magnetic field. This<br> is in contrast to the situation in QCD, where the broken phase shrinks with increasing B while the<br> condensate exhibits a non-monotonic B-dependence close to the chiral crossover, and we comment on<br> this discrepancy. We do not find any trace of inhomogeneous phases induced by the magnetic field. If you use this data, please cite the corresponding paper:<br> https://doi.org/10.48550/arXiv.2302.05279 (or better the not-yet-existing published version)