For a strongly coupled kagome bilayer Heisenberg antiferromagnet just below saturation, low-temperature physics maps to a classical gas of hard rhombi, yielding no singlet-ordering transition and sample-shape-dependent specific heat in the thermodynamic limit.
For N = 48 two clusters are determined by the edge vectors a1 =me1, a2 =ne2, m =n = 4 (N = 48a) and a1 =me1, a2 =−e1 +ne2, m =n = 4 (N = 48b)
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Frustrated kagome-lattice bilayer quantum Heisenberg antiferromagnet
For a strongly coupled kagome bilayer Heisenberg antiferromagnet just below saturation, low-temperature physics maps to a classical gas of hard rhombi, yielding no singlet-ordering transition and sample-shape-dependent specific heat in the thermodynamic limit.