Research in theoretical physics is devoted to several problems in statistical physics and theory of condensed matter, for instance, phase transitions and critical behavior, development of analytical and numerical methods to study magnetic properties and elastic properties of crystalline and disordered materials, magnetic properties of low-dimensional structures and molecular magnetic materials, study of geometrically frustrated spin systems, application of statistical techniques in economy (econophysics), and study of turbulence by means of quantum field theory.
The astrophysical research specializes in the study of intermediate polars, focusing on the manifestations of their activity in the optical and X-rays, the study of physical processes in interacting binaries (symbiotic and cataclysmic variable stars, contact and near-contact binaries), especially on mechanisms related to mass transfer between the components of these binaries that cause the observed activity of these objects.
APVV-20-0150 more ...
The project is aimed at a comprehensive understanding of possibilities and limiting factors of electron spin systems
for a quantum computation and quantum information processing, which will be investigated by the combination of
advanced analytical and numerical methods including among others exact mapping transformations, localized-
magnon theory, exact diagonalization, tensor-network methods, density functional theory, Monte Carlo simulations
and density-matrix renormalization group method. In particular, we will examine the possibility to stabilize a
bipartite and multipartite entanglement as a genuine quantum phenomenon needed for a quantum computation
and quantum information processing at least up to temperature of liquid nitrogen or preferably room temperature.
We will also explore the capability of the pulsed electron spin resonance for the manipulation with spin qubits.
Quantum spin systems with topologically protected edge states eligible for a quantum computation will be
investigated in detail along with a few selected quantum spin chains studied in connection with implementation of a
quantum teleportation. Frustrated Heisenberg spin systems supporting either the presence of a nontrivial skyrmion
phase or magnon-crystal phases will be investigated in connection with the possibility to store a quantum
information or to implement more complex quantum circuits. Heterostructures composed of atomically thin layers coupled by van der Waals forces will be examined with respect to a superconducting pairing and topological
quantum computation. The studied electron spin systems will be either motivated by the effort to understand
unconventional behavior of existing real magnetic materials or will be supplemented by the respective proposals for
their experimental realization.
APVV SK-PL-21-0055 more ...
Low-dimensional materials are expected to represent building blocks of novel functional materials. The functional materials have entered our modern society in a wide range of technologies. They are essential for our daily life and we, as humans, are now about to prepare cutting edge innovations and advancements, especially, building quantum technologies. Spin is an undetachable electron’s property that decorates the quantum nature of matter. Its quantum character resolves eigenvalues, making the spin degree of freedom suitable for quantum technologies and information processing. The spin of an electron is inherently coupled to its orbital motion known as the spin-orbit coupling. It represents a fundamental interaction in condensed matter physics and plays a central role in spintronics. The purpose of this project is to explore the effects of spin-orbit coupling and spin-relaxation in atomically thin systems forming nanowires, two-dimensional layers being part of van der Waals crystals, and specific materials predicted to be non-trivial Ising type-II superconductors. We will utilize the expertise of the involved partners and devise a comprehensive theoretical study of spin-relaxation mechanisms in the selected experimentally relevant systems.
VEGA 1/0105/20 more ...
Multifunctional magnetic materials represent an ideal platform for nowadays technological demands. Reduced
dimensions drag out their quantum properties opening thus new paradigms for possible utilization. The project
aims to study exotic quantum states in low-dimensional magnetic materials. We plan to utilize first principles
calculations based on density functional theory with the aim to propose and solve realistic effective quantum spin
models for representative systems, which exhibit an enhanced magnetoelectric and/or barocaloric response in a
vicinity of classical or quantum phase transitions. The present proposal focuses on frustrated quantum
Heisenberg spin systems with flat bands appearing due to a destructive quantum interference, magnon-crystal
phases (Wigner crystal of magnons) relevant for technological applications and one-dimensional quantum spin
chains suitable for quantum information processing.
Exotic phenomena in frustrated spin systems
VEGA 1/0531/19 more ...
1.1.2019 – 31.12.2022
Frustration is present in a number of real magnetic materials and can result in a variety of unexpected phenomena. The project aims to theoretically investigate exotic phenomena in selected types of frustrated spin systems. In particular, we consider several antiferromagnetic systems on more (triangular, kagome) as well as less (pentagonal, Shastry-Sutherland, trellis, Cairo pentagonal) conventional geometrically frustrated lattices. They include classical and semi-classical systems ranging from one to three-dimensions both in the lattice (1D-3D) and spin (Ising, XY and Heisenberg) spaces. We anticipate that unconventional geometries, dimensional crossovers and/or additional types of interactions (nematic, antisymmetric) can lead to novel phases and/or exotic critical behavior. Approaches based on an approximate scheme, applied in a broad parameter space, through cutting-edge simulation techniques implemented on GPU to an exact solution in soluble cases are going to be employed to tackle the task.
APVV-16-0186 more ...
Magnetoelectric and magnetocaloric effect in exactly solvable lattice-statistical models
VEGA 1/0043/16 more ...
MS SR 90/CVTISR/2018 more ...