Electronic States and Anomalous Hall Effect in Strongly Correlated Topological Systems

Abstract

We treat elementary excitations, the spin-liquid state, and the anomalous Hall effect (including the quantum one in purely 2D situation) in layered highly correlated systems. The mechanisms of the formation of a topological state associated with bare flat energy bands, correlations, and spin-orbit interactions, including the appearance of correlated Chern bands, are analyzed. A two-band picture of the spectrum in metallic kagome lattices is proposed, which involves a transition from the ferromagnetic state, a flat strongly correlated band, and a band of light Dirac electrons. In this case, the effect of separation of the spin and charge degrees of freedom turns out to be significant. The application of the representations of the Kotliar-Rukenstein auxiliary bosons and the Ribeiro-Wen dopons to this problem is discussed.

arXiv commentReview paper, 8 pages

References in corpus (44)

• Topological Insulators
• Anyons in an exactly solved model and beyond
• Topological Insulator Materials
• Magnetic-field-induced quantized anomalous Hall effect in intrinsic magnetic topological insulator MnBi${}_2$Te${}_4$
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Intrinsic quantized anomalous Hall effect in a moiré heterostructure
• Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Topological orders and Edge excitations in FQH states
• Half-metallic ferromagnets: From band structure to many-body effects
• Massive Dirac fermions in a ferromagnetic kagome metal
• Tunable Correlated Chern Insulator and Ferromagnetism in Trilayer Graphene/Boron Nitride Moiré Superlattice
• Dirac fermions and flat bands in the ideal kagome metal FeSn
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Topological Flat Band Models and Fractional Chern Insulators
• Fractional Quantum Hall Physics in Topological Flat Bands
• Intrinsic Quantum Anomalous Hall Effect in the Kagome Lattice Cs2LiMn3F12
• Electronic Transport and quantum oscillation of Topological Semimetals
• Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model
• Orbital-selective Dirac fermions and extremely flat bands in frustrated kagome-lattice metal CoSn
• Competing magnetic interactions in the antiferromagnetic topological insulator MnBi${}_2$Te${}_4$
• Frustration and quantum criticality
• Fractional quantum Hall states in lattices: Local models and physical implementation
• Topological Kagome magnet Co3Sn2S2 thin flakes with high electron mobility and large anomalous Hall effect
• Emerging chiral edge states from the confinement of a magnetic Weyl semimetal in Co${}_3$Sn${}_2$S${}_2$
• Bridging Hubbard Model Physics and Quantum Hall Physics in Trilayer Graphene/h-BN moiré superlattice
• Haydeeite: a spin-1/2 kagome ferromagnet
• Doping the chiral spin liquid -- topological superconductor or chiral metal?
• Enhanced Anomalous Hall Effect in Magnetic Topological Semimetal Co${}_3$Sn${}_{2-x}$In${}_x$S${}_2$
• Prospect of quantum anomalous Hall and quantum spin Hall effect in doped kagome lattice Mott insulators
• 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
• Quantum Spin Liquid with Even Ising Gauge Field Structure on Kagome Lattice
• Interaction-driven fractional quantum Hall state of hard-core bosons on kagome lattice at one-third filling
• Topological order, symmetry, and Hall response of two-dimensional spin-singlet superconductors
• Spin Liquids and Pseudogap Metals in $SU(4)$ Hubbard Model in Moiré Superlattice
• Modern Physics of the Condensed State: Strong Correlations and Quantum Topology
• Quantum Hall spin liquids and their possible realization in moiré systems
• Emergent QCD${}_3$ Quantum Phase Transitions of Fractional Chern Insulators
• Formation of exotic states in the $s-d$ exchange and $t-J$ models
• Topological nature of Hubbard bands in strongly correlated systems
• Quantum topological transitions and spinons in metallic ferro- and antiferromagnets
• Bilayer, hydrogenated and fluorinated graphene: QED vs SU(2) QCD theory

Cited by in corpus (4)

• Half-metallic Ferromagnets, Spin Gapless Semiconductors, and Topological Semimetals Based on Heusler Alloys
• Topological states in strongly correlated systems
• Topological phase transitions in strongly correlated systems: application to Co${}_3$Sn${}_2$S${}_2$
• Magnetism, non-Fermi-liquid behavior and deconfinement in Kondo lattices