פרופ' ויקטור קגלובסקי
In my research I study various applications of the network models, starting with the original Chalker-Coddington (CC) network model, proposed to describe inter-plateaux transition in the integer quantum Hall effect (QHE) and based on its semi-classical picture. Different symmetries of the transfer matrices corresponding to novel symmetry classes allow to study the spin QHE and thermal QHE, as well as quantum spin Hall effect with very nontrivial phase diagram. Two recently introduced network models: a weakly chiral network model on the square lattices, and a triangular network model, describe levitation of extended states at low magnetic fields. To study the effect of magnetic impurities on QHE the exact analytical expression for spin-dependent transmission coefficients is found. A fictitious nonunitary scattering matrix S is introduced for electrons, reproducing the exactly calculated scattering probabilities, with decoherence identified by the deviation of S from unitarity. My research is also devoted to phenomenological description of topological insulators, two of its main results are the explanation of the experiment with asymmetric current electrodes and prediction of new quantum Hall effects in systems with ferromagnetic electrodes. My most recent research studies a sliding Luttinger liquid to model metal-insulator transition and to check stability of edge states in topological insulators
I organized conferences in Dresden, Trieste, Loughborough, UK, and Pohang, South Korea. In 2016 together with German and US collaborators we have organized the program “Recent progress and perspectives in topological insulators: quantum Hall effects, ballistic vs. diffusive regimes and Anderson transitions” at Kavli Institute for Theoretical Physics, China in April, 2016. I have also been a Convener of the Advanced Study Group (August 24 - September 21, 2016) and Coordinator of the Workshop “Anderson Localization in Topological Insulators” at the Center for Theoretical Physics of Complex Systems, Institute of Basic Research, Daejeon, South Korea (September 5 – 9. 2016)
In September 2017 I have participated in Advanced Study Group on Topological Phases in Arrays of Luttinger Liquid Wires at the Center for Theoretical Physics of Complex Systems, Institute of Basic Research, Daejeon, South Korea
In June – July 2018 I have participated in Advanced Study Group: Edge Reconstruction in Quantum Hall Systems and Topological Insulators, and have been a Coordinator of the International Workshop on Edge Reconstruction: Topology and Quantum Phase Transitions on the Edge, at the Center for Theoretical Physics of Complex Systems, Institute of Basic Research, Daejeon, South Korea
I take part in two proposals in the framework of HORIZON2020 which are now under review: H2020-FETOPEN Optoelectronics of topological materials and Marie Skłodowska-Curie Actions, Research and Innovation Staff Exchange (RISE) Opto-Electronic Properties of Topological Materials
The most recent project I will participate in is an Advanced Study Group on Flat bands: topological protection, interactions & dissipation at the Center for Theoretical Physics of Complex Systems, Institute of Basic Research, Daejeon, South Korea in 2019. In our research proposal we suggest to study a range of models where topologically protected flat bands and edge states may exist. This situation is realised, in particular, in Weyl semimetals and Topological Insulators. The study of chiral anomaly, when the charge current carriers are transferred via Fermi arcs in Weyl semimetals, and its behavior at the transition to the topological insulator is of particular interest
1990-1995 Ph.D. in Low Dimensional Electron Systems in Magnetic Field, September 1995.
Ben-Gurion University of the Negev Beer-Sheva, Israel.
Graduated from Department of Physics. Thesis: "Scaling and Extended
States in the Quantum Hall Effect". Supervisors: Prof. B. Horovitz
and Prof. Y. Avishai.
1987-1989 Postgraduate in Physics of Magnetics (unfinished)
Krasnoyarsk Institute of Physics, Krasnoyarsk, USSR.
1981-1987 B.Sc. and M.Sc. in Physics of Metals and Semiconductors, February 1987.
Kharkov Polytechnical Institute, Kharkov, USSR
Graduated with Diploma Engineer-Physicist from Physical-Technical
Department. Thesis: "Theoretical Investigation of
Surface Waves in Real Bodies".
- Quantum Hall effects
- Topological insulators
- Mesoscopic physics
Matrix Analysis and Accidental Processes in Power Systems
Quantum and Statistical Mechanics
1 . INTAS. International Research Grant to study Metal-Insulator transition in a 2D systems at zero magnetic fields. 1997 – 1998
2. BSF (United States-Israel Binational Science Foundation) in cooperation with Prof. M. Raikh (University of Utah) and Dr. I. Gruzberg (Univeristy of Chicago) . Levitation of extended states at low magnetic fields: Application to Graphene. 2007-2010.
3. Russian-Israeli grant: Russian Foundation for Basic Research and Israel Ministry of Science. Equilibrium and non-equilibrium phenomena in strongly correlated electrons in quantum dots 2012
4. BSF (United States-Israel Binational Science Foundation) in cooperation with Prof. M. Raikh (University of Utah) and Prof. I. Gruzberg (Univeristy of Chicago) . Delocalization transitions in graphene and topological insulators: Application to Graphene. 2012-2015.