It is shown that the convective instability in electron fluids in 3D and 2D Dirac semimetals is strongly inhibited. The major obstacles for the convection are the effects of the Coulomb forces and the momentum relaxation related to the interaction with impurities and phonons. The effect of the Coulomb forces is less pronounced in 2D materials, such as graphene. However, momentum relaxation...
Application of Hybrid Monte Carlo (HMC) technique allowed us to perform the simulations of electronic properties of suspended graphene at as large as $102\times102$ lattices to directly observe the infrared renormalization of the Fermi Velocity for the first time in non-perturbative Quantum Monte Carlo calculations. We compared the results with experiment, and demonstrated the agreement in the...
We discuss dense cool QCD where a region with spatially inhomogeneous condensate might emerge. In that case, QCD phase diagram may exhibit a Lifshitz regime, which can appear either instead of, or in addition to Critical End Point. We study the Lifshitz regime using a combination of large-N expansion and numerical lattice simulations of an effective O(N) sigma model. We find evidence that...
The continuation of high energy QCD Lipatov's effective action to Euclidean space is performed. The resulting Euclidean QCD RFT action
is considered separately in Euclidean "light-cone" coordinates and axial gauge suitable for the numerical and analytical calculations correspondingly.
The further application of the obtained results is also discussed.
Using numerical first-principle lattice simulations, we show that the vacuum of the electroweak sector of the Standard Model experiences two consecutive (phase) transitions in the background magnetic field at zero temperature. The first transition is associated with the dynamics of both Higgs and vector bosons, while the second transition marks the electroweak symmetry restoration. Our...
Hall conductivity topology using the magnetic Brillouin zone procedure
We use Quantum Field Theory methods to we compute the bulk polarisation tensor of the materials, whose lattice tight-binding description permits a low-energy approximation in terms of Dirac fermion quasi-particles.
We study bulk dielectric functions of such Dirac materials at imaginary frequencies in the presence of a mass gap, chemical potential, and temperature. By using these data (and...
We present the results of a first-principles lattice study of the Chiral Separation Effect in finite-density gauge theory with dynamical fermions. We find that the CSE is well described by the free quark result in the high-temperature quark-gluon plasma phase. As one enters the confinement regime with broken chiral symmetry at chemical potential smaller than half of the pion mass, the CSE...
The study of the physics of graphene-like materials opens up new connections between condensed matter and high energy physics. Graphene and other 2D materials realize the physics of spinorial fields, whose Dirac properties emerge due to the structure of the lattice with which the charge carriers interact. The peculiar sheet characteristics determine a natural description of its electronic...
The chiral magnetic effect is one of the intriguing effects of non-dissipative transport phenomena. Unlike most other members of this family, it most likely does not appear in true equilibrium. Instead, it appears, presumably, in a steady-state out of equilibrium in the presence of both external electric field and external magnetic field.
We discuss equilibrium relativistic fermionic...
We present an analysis of all the known superdeformed (SD) bands in 192Hg using the modified variable moment of inertia (VMI) model to obtain the values of unknown band-head spin (I0) along with the level spin. The band-head spin so estimated is not known experimentally in band-3. A total of 3 experimentally known SD bands of 192Hg have been analyzed. Quantitatively good results of the γ...
Application of Wigner - Weyl calculus to the investigation of non - dissipative transport phenomena is reviewed. We focus on the quantum Hall effect, Chiral Magnetic effect, and Chiral separation effect, and discuss the role of interactions, inhomogeneity, and deviations from equilibrium.