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

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

2008-11-26

arxiv.org/abs/0811.4342v1

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 4 figures

Scientific paper

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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