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arXiv 0912.0567cond-mat.quant-gas
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多层膜中的玻色-爱因斯坦凝聚

Bose-Einstein condensation in multilayers

P. Salas, M. Fortes, M. de Llano, F. J. Sevilla, M. A. Solis

摘要:

在层状结构中的非相互作用玻色子气体的临界BEC温度$T_{c}$,如那些铜氧化物超导体被证明有一个最小值$T_{c,m}$,在平面之间的特征分离$a_{m}$。结果表明,对于$a<a_{m}$,$T_{c}$单调增加回到理想玻色气体$T_{0}$,这表明减少平面之间的分离,当一个铜酸盐中的压力增加时,会导致临界温度的增加。对于有限的平面分离和渗透率的比热作为温度的函数,除了与气体的3D行为相关的众所周知的在$T_{c}$处的BEC峰之外,还显示出由脊连接的两个新颖的波峰。对于完全不可穿透的平面,模型简化为许多不连续的无限板,只有当板的宽度无限大时,只有一个驼峰幸存下来,成为一个峰。

英文摘要:

The critical BEC temperature $T_{c}$ of a non interacting boson gas in a layered structure like those of cuprate superconductors is shown to have a minimum $T_{c,m}$, at a characteristic separation between planes $a_{m}$. It is shown that for $a<a_{m}$, $T_{c}$ increases monotonically back up to the ideal Bose gas $T_{0}$ suggesting that a reduction in the separation between planes, as happens when one increases the pressure in a cuprate, leads to an increase in the critical temperature. For finite plane separation and penetrability the specific heat as a function of temperature shows two novel crests connected by a ridge in addition to the well-known BEC peak at $T_{c}$ associated with the 3D behavior of the gas. For completely impenetrable planes the model reduces to many disconnected infinite slabs for which just one hump survives becoming a peak only when the slab widths are infinite.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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