Zero-temperature equation of state of two-dimensional 3He

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 4 eps figures, accepted for publication in PRL

Scientific paper

10.1103/PhysRevLett.89.045301

The equation of state of two-dimensional $^3$He at zero temperature has been calculated using the diffusion Monte Carlo method. By means of a combination of the fixed-node and released-node techniques it is shown that backflow correlations provide a very accurate equation of state. The results prove unambiguously the non-self-bound character of two-dimensional $^3$He due to its Fermi statistics. We present solid evidence that the gas phase, predicted for the two-dimensional system, can be extrapolated to the case of $^3$He adsorbed on a strong substrate like graphite.

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