Theoretical Physics

Impuriton-Phonon Quasiparticles Possibility and Rapid Dissolution of ³He Inclusions in ⁴He Crystal

Download PDF (1807.2 KB) PP. 145 - 162 Pub. Date: December 1, 2017

DOI: 10.22606/tp.2017.24001

Author(s)

Victor Lykah^*
Department of Physics and Technology, NTU "Kharkiv Polytechnic Institute", Kharkiv, Ukraine
Eugene Syrkin
Theoretical Department, B.I. Verkin Institute of Low Temperature Physics of the NASU, Kharkiv, Ukraine & Department of Physics and Technology, NTU "Kharkiv Polytechnic Institute", Kharkiv, Ukraine

Abstract

The properties of quantum solid solutions are investigated theoretically taking into account the interaction between waves of different nature: phonons and impuritons. The wave’s interaction leads to a nonlinear Schrodinger equation that describes soliton - the impuriton-phonon, a new quasiparticle. As shown, the impuriton-phonons have velocity comparable to sound speed. Under heat step at the inclusion-matrix boundary a chemical potential step is formed. This leads to transition of 3He atoms into the matrix with one of the following mechanisms: (i) phonon emission and band movement of the impuriton; (ii) threshold emission of the impuriton-phonon (the photoelectric effect analogy). It is shown that the narrow impuriton band cannot describe the rapid movement of the impuriton-phonon quasiparticle; alternative descriptions, channeling and induced transformation of the band, are proposed. It qualitatively explains the experiments with rapid dissolution of the 3He phase inclusion in the 4He matrix.

Keywords

Solid helium, quantum tunneling of defects, matter waves, phonon interactions with other quasi-particles.

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