Quantum Orders and Spin Liquids in Cs$_2$CuCl$_4$

Details Quantum Orders and Spin Liquids in Cs$_2$CuCl$_4$ Quantum Orders and Spin Liquids in Cs$_2$CuCl$_4$

2002-10-30

arxiv.org/abs/cond-mat/0210662v3

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages, 13 figures, RevTex4, more materials about quantum orders to be found in http://dao.mit.edu/~wen

Scientific paper

Motivated by experiments on Cs$_2$CuCl$_4$ samples, we studied and classified the symmetric spin liquids on triangular lattice. We identified 63 $Z_2$ spin liquids, 30 U(1) spin liquids and 2 SU(2) spin liquids. All those spin liquids have the same symmetry but different quantum orders. We calculated the spin spectral functions in some simple spin liquids and compared them to the one measured by experiments on Cs$_2$CuCl$_4$. We find that the $U1C\tau _{+}^0\tau_{-}^0\tau^1$ spin liquid or one of its relatives is consistent with observed properties of the spin liquid state in Cs$_2$CuCl$_4$. We discussed the fine distinctions among those possible spin liquids and the spin liquids proposed using slave-fermion approach, so that future experiments can determine which spin liquids actually describe the spin state in Cs$_2$CuCl$_4$.

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