Topological states in strongly correlated systems
arXiv:2209.04336 · doi:10.1007/s10948-022-06251-3
Abstract
Topological order in strongly correlated systems, including quantum spin liquids, quantum Hall states in lattices and topological superconductivity is treated. Various metallic non-Fermi-liquid states are discussed, including fractionalized Fermi-liquid (FL) and phase string theories. Classification of topological states and differences between quantum and classical topology are considered.
arXiv comment12 pages, Kourovka Winter School of Theoretical Physics, invited talk
References in corpus (40)
- Topological Insulators
- Anyons in an exactly solved model and beyond
- Topological superconductors: a review
- String-net condensation: A physical mechanism for topological phases
- Symmetry protected topological orders and the group cohomology of their symmetry group
- High temperature fractional quantum Hall states
- Fractional quantum Hall states at zero magnetic field
- Topological orders and Edge excitations in FQH states
- Quantum Orders and Symmetric Spin Liquids
- Zoo of quantum-topological phases of matter
- Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
- Lieb-Schultz-Mattis in Higher Dimensions
- Weak magnetism and non-Fermi liquids near heavy-fermion critical points
- Fractional Quantum Hall Physics in Topological Flat Bands
- Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice
- Superconductors are topologically ordered
- Critical fermi surfaces and non-fermi liquid metals
- Theory of a continuous Mott transition in two dimensions
- Doped Kagome System as Exotic Superconductor
- Exotic Lifshitz transitions in topological materials
- Frustration and quantum criticality
- Gapped quantum liquids and topological order, stochastic local transformations and emergence of unitarity
- Quantum Information Meets Quantum Matter -- From Quantum Entanglement to Topological Phase in Many-Body Systems
- Resonance from antiferromagnetic spin fluctuations for superconductivity in UTe
- Quantum phase transitions out of the heavy Fermi liquid
- Doping the chiral spin liquid -- topological superconductor or chiral metal?
- Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order
- Mottness collapse and statistical quantum criticality
- Phase String Theory for Doped Antiferromagnets
- 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
- Electron fractionalization and unconventional order parameters of the t-J model
- Hidden spin current in doped Mott antiferromagnets
- Spin Liquids and Pseudogap Metals in 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 Quantum Phase Transitions of Fractional Chern Insulators
- Topological nature of Hubbard bands in strongly correlated systems
- Detailed magneto-heat capacity analysis of SnAs topological superconductor
- Electronic States and Anomalous Hall Effect in Strongly Correlated Topological Systems