2007/11/22 by D. V. Fil, S. I. Shevchenko · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensation #Dislocation #Lattice (music) #Quantum, superfluid, helium dynamics #Square lattice #Superfluidity #Supersolid #Topological Materials and Phenomena #Transition temperature #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.2911654
published in Low Temperature Physics 34(4), 351-356 (American Institute of Physics) · 7 pages
arxiv created 2007/11/22 · openalex publication_date 2008/04/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Bose–Einstein condensation of vacancies in a three-dimensional decorated lattice is considered. The model describes possible scenario of superfluidity of solid helium, caused by the presence of zero-point vacancies in a dislocation network. It is shown that the temperature of Bose–Einstein condensation decreases under increase of the length of the network segments, and the law of decrease depends essentially on the properties of the vertices of the network. If the vertices correspond to barriers with a small transparency, the critical temperature varies inversely as the square of the length of the segment. On the contrary, if the vertices correspond to traps for the vacancies (it is energetically preferable for the vacancies to be localized at the vertices), an exponential lowering of the temperature of transition takes place. The highest temperature of Bose–Einstein condensation is reached in the intermediate case of vertices with large transparency, but in the absence of tendency of localization at them. In the latter case the critical temperature is inversely as the length of the segment.