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- W2087709797 abstract "We have performed a Quantum Monte Carlo study of a two-dimensional bulk sample of interacting 1/2-spin structureless fermions, a model of $^3$He adsorbed on a variety of preplated graphite substrates. We have computed the equation of state and the polarization energy using both the standard fixed-node approximate technique and a formally exact methodology, relying on bosonic imaginary-time correlation functions of operators suitably chosen in order to extract fermionic energies. As the density increases, the fixed-node approximation predicts a transition to an itinerant ferromagnetic fluid, whereas the unbiased methodology indicates that the paramagnetic fluid is the stable phase until crystallization takes place. We find that two-dimensional $^3$He at zero temperature crystallizes from the paramagnetic fluid at a density of 0.061 AA$^{-2}$ with a narrow coexistence region of about 0.002 AA$^{-2}$. Remarkably, the spin susceptibility turns out in very good agreement with experiments." @default.
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- W2087709797 date "2012-05-01" @default.
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- W2087709797 title "Equation of state of two-dimensional<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msup><mml:mrow /><mml:mn>3</mml:mn></mml:msup></mml:math>He at zero temperature" @default.
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- W2087709797 doi "https://doi.org/10.1103/physrevb.85.184401" @default.
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