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An exact spin liquid state on the kagome lattice with topological order

2008/11/26 by Zhong Wang, Wang, Zhong, Shaolong Wan +1
Physics and Astronomy · #Advanced Condensed Matter Physics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.0811.4342

8 pages, 4 figures

arxiv created 2008/11/26 · openalex publication_date 2008/11/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find an exact spin liquid state without time reversal symmetry on the kagome lattice with odd number of electrons per unit cell and explicit wave functions for all eigenstates. We also obtain that all spin-spin correlations are zero except trivial cases. We then show that there are anyonic excitations in our model. Finally, we demonstrate the existence of ground state degeneracy and gapless edge states indicating nontrivial topological order in our model. We also label all eiginstates on torus by local and global string operators.

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