Topological states in strongly correlated systems

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${}^{\ast }$) and phase string theories. Classification of topological states and differences between quantum and classical topology are considered.

12 pages, Kourovka Winter School of Theoretical Physics, invited talk

References in corpus (12)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Critical fermi surfaces and non-fermi liquid metals
• Theory of a continuous Mott transition in two dimensions
• Doped Kagome System as Exotic Superconductor
• Gapped quantum liquids and topological order, stochastic local transformations and emergence of unitarity
• Quantum phase transitions out of the heavy Fermi liquid
• Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order
• Phase String Theory for Doped Antiferromagnets
• Modern Physics of the Condensed State: Strong Correlations and Quantum Topology
• Detailed magneto-heat capacity analysis of SnAs topological superconductor