Abstract
The problem of3He mobility in dilute3He-4He solid mixtures has been treated both theoretically and experimentally. The Hamiltonian of the system can be reduced to the Hamiltonian of strongly interacting impurity quasiparticles corresponding to some time-averaged states. The experiments carried out on solid mixtures with3He concentration 2.17%, 0.75%, 0.25%, or 0.092% by the NMR method show that at sufficiently low (T<1.2 K) temperatures the diffusion coefficient becomes temperature independent and inversely proportional to3He concentration. These results substantiate qualitative conclusions of the theory. Analysis of the experimental data makes it possible to take into account the phonon part of the3He diffusion coefficient and to obtain, up to a constant, the3He-4He exchange energyJ∼10−7 K. All the facts mentioned above testify to the substantially quantum nature of the3He diffusion process in dilute3He-4He mixtures.
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Grigoriev, V.N., Esel'son, B.N., Mikheev, V.A. et al. 3He impurity excitations in solid4He. J Low Temp Phys 13, 65–79 (1973). https://doi.org/10.1007/BF00654398
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DOI: https://doi.org/10.1007/BF00654398