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Abstract
For the spin-$\frac{1}{2}$ Heisenberg antiferromagnet on the Kagom\'e lattice
we calculate the high temperature series for the specific heat and the
structure factor. A comparison of the series with exact diagonalisation studies
shows that the specific heat has further structure at lower temperature in
addition to a high temperature peak at $T\approx 2/3$. At $T=0.25$ the
structure factor agrees quite well with results for the ground state of a
finite cluster with 36 sites. At this temperature the structure factor is less
than two times its $T=\infty$ value and depends only weakly on the wavevector
$\bf q$, indicating the absence of magnetic order and a correlation length of
less than one lattice spacing. The uniform susceptibility has a maximum at
$T\approx 1/6$ and vanishes exponentially for lower temperatures.
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