6 Citations
Robustness of the semimetal state of Na3Bi and Cd3As2 against Coulomb interactions
- Physics
- 2018
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
- Physics, ChemistryPhysical Review B
- 2019
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
- PhysicsPhysical Review D
- 2019
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
- Physics, MathematicsPhysical Review D
- 2019
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
- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2020
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.…
Lattice quantum Monte Carlo study of chiral magnetic effect in Dirac semimetals
- PhysicsAnnals of Physics
- 2018
References
SHOWING 1-10 OF 42 REFERENCES
Monte Carlo study of Dirac semimetals phase diagram
- Physics, Materials Science
- 2016
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
- Physics
- 2016
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
- Physics
- 2009
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
- Physics
- 2017
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
- Physics
- 2010
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
- Physics
- 2010
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
- Physics
- 2013
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
- Physics
- 2008
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.
- PhysicsPhysical review letters
- 2013
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
- Physics
- 2015
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…