# Gross-Neveu-Heisenberg criticality from competing nematic and antiferromagnetic orders in bilayer graphene

@article{Ray2021GrossNeveuHeisenbergCF, title={Gross-Neveu-Heisenberg criticality from competing nematic and antiferromagnetic orders in bilayer graphene}, author={Shouryya Ray and Lukas Janssen}, journal={Physical Review B}, year={2021} }

We study the phase diagram of an effective model of competing nematic and antiferromagnetic orders of interacting electrons on the Bernal-stacked honeycomb bilayer, as relevant for bilayer graphene. In the noninteracting limit, the model features a semimetallic ground state with quadratic band touching points at the Fermi level. Taking the effects of short-range interactions into account, we demonstrate the existence of an extended region in the mean-field phase diagram characterized byβ¦Β

## 2 Citations

### Gross-Neveu-Heisenberg criticality from $2+\boldsymbol{\epsilon}$ expansion

- Physics
- 2022

The Gross-Neveu-Heisenberg universality class describes a continuous quantum phase transition between a Dirac semimetal and an antiferromagnetic insulator. Such quantum critical points haveβ¦

### Nematic Quantum Criticality in Dirac Systems.

- Physics, EducationPhysical review letters
- 2022

We investigate nematic quantum phase transitions in two different Dirac fermion models. The models feature twofold and fourfold, respectively, lattice rotational symmetries that are spontaneouslyβ¦

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