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We study the Heisenberg model on the pinwheel distorted kagome lattice asobserved in the material Rb_2Cu_3SnF_12. Experimentally relevant thermodynamicproperties at finite temperatures are computed utilizing numericallinked-cluster expansions. We also develop a Lanczos-based, zero-temperature,numerical linked cluster expansion to study the approach of the pinwheeldistorted lattice to the uniform kagome-lattice Heisenberg model. We findstrong evidence for a phase transition before the uniform limit is reached,implying that the ground state of the kagome-lattice Heisenberg model is likelynot pinwheel dimerized and is stable to finite pinwheel-dimerizingperturbations.

Thermodynamics and phase transitions for the Heisenberg model on the pinwheel distorted kagome lattice