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Few-body systems. Supplementum

Universal description of the He3 system at low energy

O. I. Kartavtsev

Published Jan 1, 1999• 11 citations
Publisher
DOI
10.1007/978-3-7091-6798-4_33

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By means of low-energy cross-section measurements on He3{\mathrm{He}}^{3}He3-He3{\mathrm{He}}^{3}He3, we derive an interatomic potential which has a minimum 3.4% deeper than that of He4{\mathrm{He}}^{4}He4-He4{\mathrm{He}}^{4}He4. We demonstrate that the difference in the potentials is significant. The atomic-mass polarization effect is proposed as a possible explanation for the different potentials.
We consider the nonanalytic temperature dependences of the specific heat coefficient, C(T)/T, and spin susceptibility, chi(s)(T), of 2D interacting fermions beyond the weak-coupling limit. We demonstrate within the Luttinger-Ward formalism that the leading temperature dependences of C(T)/T and chi(s)(T) are linear in T, and are described by the Fermi liquid theory. We show that these temperature dependences are universally determined by the states near the Fermi level and, for a generic interaction, are expressed via the spin and charge components of the exact backscattering amplitude of quasiparticles. We compare our theory to recent experiments on monolayers of He3.