# Spin-liquid states on the triangular and Kagomé lattices: A projective-symmetry-group analysis of Schwinger boson states

@article{Wang2006SpinliquidSO,
title={Spin-liquid states on the triangular and Kagom{\'e} lattices: A projective-symmetry-group analysis of Schwinger boson states},
author={Fa Wang and Ashvin Vishwanath},
journal={Physical Review B},
year={2006},
volume={74},
pages={174423}
}
• Published 4 August 2006
• Physics
• Physical Review B
A symmetry-based analysis (projective symmetry group) is used to study spin-liquid phases on the triangular and Kagom\'e lattices in the Schwinger boson framework. A maximum of eight distinct ${Z}_{2}$ spin-liquid states are found for each lattice, which preserve all symmetries. Out of these only a few have nonvanishing nearest-neighbor amplitudes, which are studied in greater detail. On the triangular lattice, only two such states are present---the first (zero-flux state) is the well-known…

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