Resonating valence bond realization of spin-1 non-Abelian chiral spin liquid on the torus

2020/09/30 by Hua-Chen Zhang, Ying-Hai Wu, Hong-Hao Tu +1
Mathematics · Physics and Astronomy · #Abelian group #Degenerate energy levels #Electron #Geometry #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Quantum spin liquid #Spin polarization #Topological Materials and Phenomena #Torus #Twist #Valence bond theory #Wave function #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.103.075130

published as Phys. Rev. B 103, 075130 (2021) · 11 pages, 2 figures

openalex publication_date 2021/02/17 · arxiv created 2021/02/18 · arxiv updated 2021/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose resonating valence bond wave functions for a spin-1 system on the torus that realize a non-Abelian chiral spin liquid. The wave functions take the form of infinite-dimensional matrix product states constructed from conformal blocks of the SO(3)₁ Wess-Zumino-Witten model. This means that they are lattice analogs of the bosonic Moore-Read state introduced in fractional quantum Hall systems. The topological order of this system is revealed by explicit construction of threefold-degenerate ground states and analytical computation of the modular S and T matrices.

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