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Many-body wavefunctions for normal liquid $^3$He

Markus Holzmann·Bernard Bernu·D. M. Ceperley
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Abstract

We present new trial wave-functions which include 3-body correlations into the backflow coordinates and a 4-body symmetric potential. We show that our wavefunctions lower the energy enough to stabilize the ground state energies of normal liquid $^3$He in the unpolarized state at all pressures in agreement with experiment; however, quantitative discrepancies remain. Further, we include strong spin coupling into the Fermi liquid by adapting pairing wave functions. We demonstrate a new, numerically stable method to evaluate pairing functions which is also useful for Path Integrals calculations at low, but non-zero temperatures.

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Markus Holzmann, Bernard Bernu, D. M. Ceperley. 2006-10-16. Many-body wavefunctions for normal liquid $^3$He. https://doi.org/10.1103/physrevb.74.104510

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