My major research interests are in the field of many-body quantum physics. This includes Nuclear Physics, Atomic Physics and Condensed Matter Theory. The main results are: Precise calculation of parity violation effects in heavy atoms, Prediction of a huge enhancement of weak interaction effects in neutron scattering, Theory of parity violation in nuclear fission, Theory of the magnetic superconducting pairing in the Neel state of a strongly correlated quantum antifferomagnet.
My current topics/fields of research are
- Quantum many-body theory,
- Quantum field theory and quantum phase transitions,
- Strong electron correlations,
- Topological quantum materials and artificial graphene.
The highlight and the driving force for topics "Quantum many-body theory", "Quantum field theory and quantum phase transitions" and "Strong electron correlations" is physics of cuprates and high temperature superconductivity.
Physics of cuprates remains an exciting field in spite of three decades of research. There is a broad range of outstanding problems related to the field, such as
- violation of Luttinger theorem,
- exotic magnetic and charge orderings,
- mechanism of superconductivity,
- deconfinement of spinons,
- spin liquids and quasiparticles with "wrong" quantum statistics,
- topological structures (skyrmions), etc.
Topics "Spintronics" and "Topological quantum materials and artificial graphene" are related to the effects of spin-orbit interaction in materials/systems with itinerant electrons. Due to special band structure the spin-orbit interaction can be very strong, comparable with Fermi energy, in this sense dynamics of electrons in such systems are "ultrarelativistic".
Artificially engineered topological quantum materials are not realized yet, this is still only a theoretical possibility. They will be potentially very important for applications when realized.
Electron correlations in artificial systems are expected to be very strong and this results in rich physics overlapping with the first three topics.
My previous topics/fields of research are related to fundamental physics. This includes
- the structure/effects of the weak interaction and parity violation in atoms and nuclei,
- violation of fundamental time reversal symmetry and barionic asymmetry of the Universe (dominance of matter over antimatter),
- searchers of light dark matter.
I maintain some activity in those fields as well.