Lattice field theory simulations of Dirac semimetals

  title={Lattice field theory simulations of Dirac semimetals},
  author={V. V. Braguta and Mikhail I. Katsnelson and Andrey Yu Kotov},
  journal={Annals of Physics},

Figures and Tables from this paper

Robustness of the semimetal state of Na3Bi and Cd3As2 against Coulomb interactions

We study the excitonic semimetal-insulator quantum phase transition in a three-dimensional Dirac semimetal in which the fermion dispersion is strongly anisotropic. After solving the Dyson-Schwinger

Catalysis of dynamical chiral symmetry breaking by chiral chemical potential in Dirac semimetals

In this paper we study the properties of media with chiral imbalance parameterized by chiral chemical potential. It is shown that depending on the strength of interaction between constituents in the

Triangle anomalies and nonrelativistic Nambu-Goldstone modes of generalized global symmetries

In massless QCD coupled to QED in an external magnetic field, a photon with the linear polarization in the direction of the external magnetic field mixes with the charge neutral pion through the

Note on the Bloch theorem

Bloch theorem in ordinary quantum mechanics means the absence of the total electric current in equilibrium. In the present paper we analyze the possibility that this theorem remains valid within

Influence of interactions on the anomalous quantum Hall effect

The anomalous quantum Hall conductivity in the 2 + 1 D topological insulators in the absence of interactions may be expressed as the topological invariant composed of the two-point Green function.



Monte Carlo study of Dirac semimetals phase diagram

In this paper the phase diagram of Dirac semimetals is studied within lattice Monte-Carlo simulation. In particular, we concentrate on the dynamical chiral symmetry breaking which results in

Lattice gauge theory treatment of strongly correlated Dirac semimetals

We observe the effect of Coulomb interaction in three-dimensional Dirac semimetals in the strong-coupling limit. Model of the system is constructed in terms of lattice gauge theory, with the Coulomb

Lattice field theory simulations of graphene

We discuss the Monte Carlo method of simulating lattice field theories as a means of studying the low-energy effective theory of graphene. We also report on simulational results obtained using the

Lattice Field Theory Study of Magnetic Catalysis in Graphene

We discuss the simulation of the low-energy effective field theory (EFT) for graphene in the presence of an external magnetic field. Our fully nonperturbative calculation uses methods of lattice

Gap generation and semimetal-insulator phase transition in graphene

The gap generation is studied in suspended clean graphene in the continuum model for quasiparticles with the Coulomb interaction. We solve the gap equation with the dynamical polarization function

Monte Carlo Simulation of the Semimetal-Insulator Phase Transition in Monolayer Graphene

A $2+1$-dimensional fermion field theory is proposed as a model for the low-energy electronic excitations in monolayer graphene. The model consists of ${N}_{f}=2$ four-component Dirac fermions moving

Interaction of static charges in graphene within Monte Carlo simulation

The study of the interaction potential between static charges within Monte-Carlo simulation of graphene is carried out. The numerical simulations are performed in the effective lattice field theory

Quantum critical behavior in a graphenelike model

We present the results of numerical simulations of a (2+1)-dimensional fermion field theory based on a recent proposal for a model of graphene consisting of N{sub f} four-component Dirac fermions

Monte Carlo study of the semimetal-insulator phase transition in monolayer graphene with a realistic interelectron interaction potential.

It is found that suspended graphene is in the conducting phase with unbroken chiral symmetry, which suggests that fluctuations of chirality and nonperturbative effects might still be quite important.

Phase diagram of the quantum electrodynamics of two-dimensional and three-dimensional Dirac semimetals

We study the Quantum Electrodynamics of 2D and 3D Dirac semimetals by means of a self-consistent resolution of the Schwinger-Dyson equations, aiming to obtain the respective phase diagrams in terms