TOPOLOGICAL ORDERS AND CHERN-SIMONS THEORY IN STRONGLY CORRELATED QUANTUM LIQUID

1991/06/01 by Xiao-Gang Wen · 8 citations
Physics and Astronomy · Mathematics · #Advanced Chemical Physics Studies #Quantum optics and atomic interactions #Quantum chaos and dynamical systems #Chern–Simons theory #Quantum #Physics #Topological entropy in physics #Topology (electrical circuits) #Topological order #Theoretical physics #Quantum mechanics #Topological quantum number #Gauge theory #Mathematics

paper · doi:10.1142/s0217979291001541

openalex publication_date 1991/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We review the topological orders in strongly correlated quantum liquids. The characterization of the topological orders through ground state degeneracy, non-Abelian Berry's phases and edge excitations are discussed.

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• Higher-form symmetries and 3-group in axion electrodynamics
• Topological and entanglement properties of resonating valence bond wave functions
• Modular invariant partition functions in the quantum Hall effect
• Measuring Chern numbers in Hofstadter strips
• Fractional quantum Hall states as an Abelian group
• Coupled spin-12 ladders as microscopic models for non-Abelian chiral spin liquids
• Evolution of quantum entanglement with disorder in fractional quantum Hall liquids
• Topological order [wikipedia]