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.
arXiv commentReview paper, English&Russian version, 46+62 pages, 20 figures
References in corpus (60)
- Fault-tolerant quantum computation by anyons
- Anyons in an exactly solved model and beyond
- Topological entanglement entropy
- Detecting topological order in a ground state wave function
- A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
- String-net condensation: A physical mechanism for topological phases
- "Deconfined" quantum critical points
- Zoo of quantum-topological phases of matter
- Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
- Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
- Weak magnetism and non-Fermi liquids near heavy-fermion critical points
- Theory of Underdoped Cuprates
- Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice
- A Phenomenological Theory of The Pseudogap State
- Superconductors are topologically ordered
- Slave-rotor mean field theories of strongly correlated systems and the Mott transition in finite dimensions
- What can gauge-gravity duality teach us about condensed matter physics?
- Fractional excitations in the square-lattice quantum antiferromagnet
- Critical fermi surfaces and non-fermi liquid metals
- Frustration and the Kondo effect in heavy fermion materials
- Photons and electrons as emergent phenomena
- Theory of spin excitations in undoped and underdoped cuprates
- Algebraic charge liquids
- Incommensurate magnetic order and phase separation in the two-dimensional Hubbard model with nearest and next-nearest neighbor hopping
- Frustration and quantum criticality
- Gapped quantum liquids and topological order, stochastic local transformations and emergence of unitarity
- Mixed-valence insulators with neutral Fermi surfaces
- Deconfined criticality critically defined
- Renormalization group constructions of topological quantum liquids and beyond
- Spiral magnetism in the single-band Hubbard model: the Hartree-Fock and slave-boson approaches
- Self-consistent slave rotor mean field theory for strongly correlated systems
- Quantum phase transitions out of the heavy Fermi liquid
- Hidden Fermi Liquid: The Secret of High Tc Cuprates
- Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order
- Doped carrier formulation and mean-field theory of the tt't''J model
- Cuprates as doped U(1) spin liquids
- Higgs criticality in a two-dimensional metal
- Mottness collapse and statistical quantum criticality
- Confinement and Deconfinement of Spinons in Two Dimensions
- Phase String Theory for Doped Antiferromagnets
- Majorana liquids: the complete fractionalization of the electron
- Dirac points, spinons and spin liquid in twisted bilayer graphene
- Many Body Physics: Unfinished Revolution
- Personal history of my engagement with cuprate superconductivity, 1986-2010
- Spinon-Holon binding in model
- Transport Anomalies of the Strange Metal: Resolution by Hidden Fermi Liquid Theory
- Electron fractionalization and unconventional order parameters of the t-J model
- Heavy antiferromagnetic phases in Kondo lattices
- Fractionalized Metal in a Falicov-Kimball Model
- Unconventional magnetism of the Kondo lattice
- Mott physics, sign structure, ground state wavefunction, and high-Tc superconductivity
- How to control pairing fluctuations: SU(2) slave-rotor gauge theory of the Hubbard model
- Decoherence wave in magnetic systems and creation of Néel antiferromagnetic state by measurement
- Quantum effects and magnetism in the spatially distributed DNA molecules
- Magnetic phase transitions and unusual antiferromagnetic states in the Hubbard model
- Spectral functions of 2D systems with coupling of electrons to collective or localized spin degrees of freedom
- Supersymmetric Approach to Heavy-Fermion Systems
- Bandwidth-control vs. doping-control Mott transition in the Hubbard model
- Understanding High Tc Superconductivity
- Exotic phases and quantum phase transitions: model systems and experiments
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- 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
- Principle of learning sign rules by neural networks in qubit lattice models
- Hubbard Bands and Exotic States in Doped and Undoped Mott Systems: The Kotliar-Ruckenstein Representation