Magnetic properties of³He–⁴He quantum solutions

Bound states of3He in3He-4He mixture films

“…An experimentalist could face an extra Kosterlitz-Thouless phase transition, liquefaction of ( 3 He) 2 or polymerization of 3 He, crossover from a Bose gas of dimers to a 2D Fermi fluid (with strong pair correlation) upon increasing the 3 He concentration, etc. [8,9,33,34,35,36]. The dimer binding energy is a cornerstone characteristic of all these phenomena which are exciting objectives for experimental and theoretical studies.…”

“…This phenomenon should strongly affect the macroscopic properties of dilute mixtures resulting in an extra superfluid transition, new features of the phase diagram, anomalous sound absorption, etc. [8]. This is the reason why calculating the binding energy is the main issue in the theory of dimerized 3 He- 4 He solutions.…”

“…When extrapolated to small w (of the order of a few atomic layers) the theory of Ref. [8,9] provides an estimate for the binding energy which seems to be quite attainable for experimental studies. However, it is difficult to assess the accuracy of such an estimate because the theory in question certainly does not hold in such restricted geometry, i.e.…”

“…Despite the fact that the effective attraction between two 3 He quasiparticles is too weak to lead to a bound state in the bulk, such a bound state -a ( 3 He) 2 dimer -should certainly exist in helium systems with reduced dimensionality [8,9]. It is well known that in one and two dimensions any attractive potential satisfying the perturbation theory criterion gives rise to a bound state (see e.g.…”

Structure of a model one-dimensional liquid 3He–4He mixture

“…It is important to note that a weak attactive interaction can lead to a dimerized phase of 3 He atoms as first pointed out by Bashkin [13]. Our purely repulsive interaction model does not consider this possibility.…”