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Attend a theoretical physics seminar exploring the local physics of phase transitions without order parameters, presented in Russian by Anton Markov from Moscow State University. Delve into two main areas of condensed matter physics through this comprehensive presentation. Examine the physics of locally interacting electrons under magnetic field effects on orbital degrees of freedom, including how fractal spectrum structures become unstable under combined temperature and interaction effects, and discover the Mott insulator-to-metal transition driven solely by orbital magnetic field effects - a mechanism relevant to recent experimental observations in bilayer graphene, VO₂, and λ-type organic conductors under ultra-high magnetic fields. Investigate orbital magnetization behavior in systems undergoing Mott transitions, learning how interactions modify 1/B-periodic de Haas-van Alphen oscillations and how B-periodic quantum oscillations emerge in the Mott phase. Explore the possibility of introducing local Landau-Ginzburg order parameter analogs through local markers for topological and non-equilibrium phase transitions, understanding how phase transitions in interacting topological insulators can be described using quasi-local order parameters. Analyze the behavior of such order parameters in non-equilibrium non-interacting systems, discovering conditions under which topological phase evolution can be described through local topological marker currents and their experimental measurement possibilities. Conclude with an examination of disorder-induced dynamic quantum phase transitions in one-dimensional Ising chains, demonstrating why these non-topological transitions cannot accommodate local order parameters.
