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

  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},
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… 

Tables from this paper

Critical behavior of the QED3 -Gross-Neveu-Yukawa model at four loops
We study the universal critical properties of the QED$_3$-Gross-Neveu-Yukawa model with $N$ flavors of four-component Dirac fermions coupled to a real scalar order parameter at four-loop order in the
Critical behavior of Dirac fermions from perturbative renormalization
Gapless Dirac fermions appear as quasiparticle excitations in various condensed-matter systems. They feature quantum critical points with critical behavior in the 2+1 dimensional Gross-Neveu
Momentum dependence of quantum critical Dirac systems
We analyze fermionic criticality in relativistic $2+1$ dimensional fermion systems using the functional renormalization group (FRG), concentrating on the Gross-Neveu (chiral Ising) and the Thirring
Deconfined criticality from the QED3 -Gross-Neveu model at three loops
The QED$_3$-Gross-Neveu model is a (2+1)-dimensional U(1) gauge theory involving Dirac fermions and a critical real scalar field. This theory has recently been argued to represent a dual description
Critical properties of the Néel–algebraic-spin-liquid transition
The algebraic spin liquid is a long-sought-after phase of matter characterized by the absence of quasiparticle excitations, a low-energy description in terms of emergent Dirac fermions and gauge
Fermion-induced quantum criticality with two length scales in Dirac systems
The quantum phase transition to a $\mathbb{Z}_3$-ordered Kekul\'e valence bond solid in two-dimensional Dirac semimetals is governed by a fermion-induced quantum critical point, which renders the
Critical structure and emergent symmetry of Dirac fermion systems
Emergent symmetry in Dirac system means that the system acquires an enlargement of two basic symmetries at some special critical point. The continuous quantum criticality between the two symmetry
Fermionic criticality with enlarged fluctuations in Dirac semimetals.
The fluctuations-driven continuous quantum criticality has sparked tremendous interest in condensed matter physics. It has been verified that the gapless fermions fluctuations can change the nature
Fermion-induced quantum critical point in the Landau-Devonshire model
Fluctuations can change the phase transition properties drastically. An example is the fermion-induced quantum critical point (FIQCP), in which fluctuations of the massless Dirac fermions turn a
Deconfined criticality in the QED3 Gross-Neveu-Yukawa model: The 1/N expansion revisited
The critical properties of the $\text{QED}_{3}$-Gross-Neveu-Yukawa (GNY) model in 2+1 dimensions with $N$ flavors of two-component Dirac fermions are computed to first order in the $1/N$ expansion.