Thermodynamic properties of the quantum Heisenberg antiferromagnet on the kagomé lattice

We have performed Monte Carlo simulations on the quantum Heisenberg antiferromagnet on the kagomé lattice with up to 72 spins. We have used the transfer-matrix Monte Carlo method, which enabled us to do efficient samplings at rather low temperatures where other methods suffer from serious sign problem. Specific-heat data exhibit the double peak. Results of the chirality and short-range spin correlations show no tendency of any magnetic ordering even at the lowest temperature we observed.