# Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems

@article{Mihaila2017GrossNeveuYukawaMA,
title={Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems},
author={Luminita N. Mihaila and Nikolai Zerf and Bernhard Ihrig and Igor F. Herbut and Michael M Scherer},
journal={Physical Review B},
year={2017},
volume={96},
pages={165133}
}
• Published 26 March 2017
• Physics
• Physical Review B
Dirac and Weyl fermions appear as quasiparticle excitations in many different condensed-matter systems. They display various quantum transitions which represent unconventional universality classes related to the variants of the Gross-Neveu model. In this paper we study the bosonized version of the standard Gross-Neveu model—the Gross-Neveu-Yukawa theory—at three-loop order, and compute critical exponents in 4−e dimensions for a general number of fermion flavors. Our results fully encompass the…

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