Modern Physics of the Condensed State: Strong Correlations and Quantum Topology
arXiv:1911.07597 · doi:10.1134/S0031918X19060061
Abstract
The topic of the review is the application of new ideas of unconventional quantum states to the physics of condensed matter, in particular of solid state, in the context of modern field theory. A comparison is made with classical papers on many-electron theory, including the formalism of many-electron operators. The essentially many-particle nature of the ground state, individual and collective excitations, and quantum fluctuations in the systems under consideration, as well as quantum phase transitions are discussed with an emphasis on topological aspects and with allowance for the effects of frustration. Variational approaches and representations of auxiliary particles, corresponding mean-field approximation and gauge field theory, confinement-deconfinement problem, violation of the Fermi-liquid picture, and exotic non-Fermi-liquid states are considered. An overview is given of the modern theory of entangled topological states, formation of spin liquid, strings and string networks.
Review paper, English&Russian version, 46+62 pages, 20 figures
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Cited by in corpus (4)
- Topological states in strongly correlated systems
- Hubbard bands, Mott transition and deconfinement in strongly correlated systems
- Two-band model and RVB-type states: application to Kondo lattices, pyrochlores and Mn-based systems
- Hubbard Bands and Exotic States in Doped and Undoped Mott Systems: The Kotliar-Ruckenstein Representation