Weyl and Dirac semimetals are paradigmatic materials whose quasiparticles are governed by relativistic-like equations. They demonstrate a variety of exotic effects exemplified by the chiral anomaly, topologically protected Fermi arc surface states, strain-induced pseudo-electromagnetic fields, etc.

Our research group investigates transport properties, collective modes, surface states, quantum geometry, photoresponse, and interaction effects in Weyl and Dirac materials. We use a variety of methods that range from the kinetic theory and hydrodynamics to the Green's function approach.

Their unique interplay of topological and electronic properties makes Weyl and Dirac materials essential for novel technologies, including ultra-fast electronics, photodetectors, etc.

Magnetic materials play a crucial role in modern society with various applications ranging from speakers and compasses to magnetic resonance imaging. Recently, novel forms of magnetic materials featuring an unusual interplay of crystal and spin structures were identified and dubbed altermagnets and p-wave magnets. 

In collaboration with NTNU (Norway) and KNU (Ukraine), we develop theoretical models of p-wave magnets and altermagnets exploring their transport properties and interaction effects, including superconductivity. One of the perspective directions is the interplay between magnetism and topology.

These magnets could lead to applications in electronic and spintronic devices promising faster and more energy-efficient devices.

Being subject to the electric field of lattice ions, charge carriers in materials can acquire exotic properties distinct from those of elementary particles. For example spin-1 fermionic quasiparticles can emerge in multifold materials. An additional benefit of these materials is the coexistence of both dispersive and flat bands with the latter being particularly sensitive to interaction effects due to the vanishing kinetic energy.

We develop theoretical models and study topological and electronic properties of these materials paying attention to the role of the flat bands and surface states. The latter states are chiral and extend across the entire Brillouin zone enabling surface-dominated phenomena.  

Although primarily of fundamental interest, multifold materials may have applications in novel electronics, especially in nanodevices where the transport is dominated by surface states.