装饰晶格中的玻色-爱因斯坦凝聚：在超固体中的应用
Bose-Einstein condensation in a decorated lattice: an application to supersolid
摘要：
考虑了三维装饰晶格中空位的玻色-爱因斯坦凝聚。该模型描述了固体氦的超流性的可能情况，所造成的零点空位的位错网络中的存在。结果表明，玻色-爱因斯坦凝聚的温度随网络链段长度的增加而降低，其降低规律主要取决于网络顶点的性质.如果顶点对应于具有小透明度的屏障，则临界温度与段的长度的平方成反比。相反，如果顶点对应于空位的陷阱（空位在顶点处局部化在能量上是优选的），则发生转变温度的指数降低。玻色-爱因斯坦凝聚的最高温度是在透明度大的顶点的中间情况下达到的，但在它们中没有局域化的趋势。在后一种情况下，临界温度与段的长度成反比。
英文摘要：
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 segments of the network, and the law of decrease depends essentially on the properties of the vertexes of the network. If the vertexes correspond to barriers with a small transparency, the critical temperature is inversely as the square of the length of the segment. On the contrary, if the vertexes correspond to traps for the vacancies (it is energetically preferable for the vacancies to localize at the vertexes), an exponential lowering of the temperature of transition takes place. The highest temperature of Bose-Einstein condensation is reached in the intermediate case of vertexes with large transparency, but in the absence of tendency of localization in them. In the latter case the critical temperature is inversely as the length of the segment.
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