Abstract
We introduce and study numerically new wave functions to describe the ground state of liquid He3. The antisymmetrization required by the fermionic nature of He3 is implemented through a “BCS” pairing scheme rather than through a Slater determinant of plane waves: with only two variational parameters, we obtain results comparable with the best results available with a Slater determinant. This new wave function predicts that the local antiferromagnetic fluctuations should be much smaller than what is expected from the previous description, and that the momentum distribution is smooth, structureless as opposed to the step-like function obtained using a Slater description. Those two predictions could be tested using neutron scattering. Conceptually, the disappearance of the Fermi surface raises the question of the general validity of Landau's Fermi liquid theory. It suggests that strongly interacting fermions could form a new liquid state which is here described as a resonating assembly of small Cooper pairs. This is much in the same spirit as the newly proposed “strange metal” (RVB) phase for highT c superconductors — for which the electrons are though to be very strongly correlated — and hence not describable by the “canonical” Fermi liquid theory.
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Bouchaud, J.P., Lhuillier, C. New microscopic description of liquid3He. Z. Physik B - Condensed Matter 75, 283–289 (1989). https://doi.org/10.1007/BF01321815
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DOI: https://doi.org/10.1007/BF01321815