Possible spin-liquid states on the triangular and kagomé lattices

1992/11/24 by Kun Yang, K. L. Warman, L. K. Warman +1 · 2 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermion #Function (biology) #Gauge theory #Gaussian #Ground state #Heisenberg model #Mathematical physics #Physics #Quantum mechanics #Quantum spin liquid #Spin (aerodynamics) #Spin polarization #Topological Materials and Phenomena #Wave function #cond-mat

paper · pdf · doi:10.1103/physrevlett.70.2641

published as Phys. Rev. Lett. 70, 2641 (1993) · 13 pages, revtex. IUCM-9201

arxiv created 1992/11/24 · openalex publication_date 1993/04/26 · arxiv updated 2016/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

The frustrated quantum spin-one-half Heisenberg model on the triangular and kagom'e lattices is mapped onto a single species of fermion carrying statistical flux \ensuremathθ=\ensuremathπ. The corresponding Chern-Simons gauge theory is analyzed at the Gaussian level and found to be massive. This provides a new motivation for the spin-liquid Kalmeyer-Laughlin wave function. Good overlap of this wave function with the numerical ground state is found for small clusters.

Citations

• Equivalence of the resonating-valence-bond and fractional quantum Hall states
• Quantized Hall Conductance in a Two-Dimensional Periodic Potential
• Possible Néel orderings of the Kagomé antiferromagnet
• Chiral spin states and superconductivity

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