A spin polarized electron system is investigated by the recently developed technique for the Monte Carlo simulation of the path integral. It is found that the melting temperature of the Wigner crystal has the maximum value ~30 K at the density ~2.2 x 1012 cm-2. The phase diagram is obtained and the melting temperature shows monotonic decrease at the higher densities. The total energy shows hysteresis on the most part of the transition line.
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