Chiral spin states and superconductivity

1989/06/01 by Xiao-Gang Wen, Frank Wilczek, A. Zee · 25 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Advanced Condensed Matter Physics #Physics #Spin (aerodynamics) #Quasiparticle #Quantum spin liquid #Superconductivity #Spin states #Quantum mechanics #Condensed matter physics #Frustration #Mean field theory #Order (exchange) #Spin polarization

paper · doi:10.1103/physrevb.39.11413

openalex publication_date 1989/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Abstract

It is shown that several different order parameters can be used to characterize a type of P- and T-violating state for spin systems, that we call chiral-spin states. There is a closely related, precise notion of chiral-spin-liquid states. We construct soluble models, based on P- and T-symmetric local-spin Hamiltonians, with chiral-spin ground states. Mean-field theories leading to chiral spin liquids are proposed. Frustration is essential in stabilizing these states. The quantum numbers of quasiparticles around the chiral spin liquids are analyzed. They generally obey fractional statistics. Based on these ideas, it is speculated that superconducting states with unusual values of the flux quantum may exist.

Citations

• Quantum Mechanics of Fractional-Spin Particles
• Equivalence of the resonating-valence-bond and fractional quantum Hall states
• Quantal phase factors accompanying adiabatic changes

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