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Linear spin wave theory shows that ring exchange induces a quantum disorderedregion in the phase diagram of the title model. Spin wave spectra show thatthis is a direct manifestation of competing classical orders. A spin liquid isfound in the `Goldilocks zone' of frustration, where the quantum fluctuationsare large enough to cause strong competition between different classicalorderings but not strong enough to stabilize spiral order. We note that thespin liquid phases of $\kappa$-(BEDT-TTF)${_2}X$ and $Y$[Pd(dmit)$_2$]$_2$ arefound in this Goldilocks zone.

physical review. b, condensed matter and materials physics

Spin liquid phase due to competing classical orders in the semiclassical  theory of the Heisenberg model with ring exchange on an anisotropic  triangular lattice