Spin liquid phase in a $S=1/2$ quantum magnet on the kagome lattice

Details Spin liquid phase in a $S=1/2$ quantum magnet on the kagome lattice Spin liquid phase in a $S=1/2$ quantum magnet on the kagome lattice

2006-07-28

arxiv.org/abs/cond-mat/0607778v3

Phys. Rev. Lett. 97, 207204 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 6 figures, published version

Scientific paper

10.1103/PhysRevLett.97.207204

We study a model of hard-core bosons with short-range repulsive interactions at half-filling on the kagome lattice. Using quantum Monte Carlo (QMC) numerics, we find that this model shows a continuous superfluid to insulator quantum phase transition, with exponents $z=1$ and $\nu\approx 0.67(5)$. The insulator, $\cI^*$, exhibits short-ranged density and bond correlations, topological order and exponentially decaying spatial vison correlations, all of which point to a $Z_2$ fractionalized phase. We estimate the vison gap in $\cI^*$ from the temperature dependence of the energy. Our results, together with the equivalence between hard-core bosons and $S=1/2$ spins, provide compelling evidence for a spin-liquid phase in an easy-axis spin-1/2 model with no special conservation laws.

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