准二维系统中的玻色-爱因斯坦凝聚：在高温超导中的应用
Bose-Einstein condensation in quasi-2D systems: applications to high Tc superconductivity
摘要：
我们用BCS理论描述了层状材料中的高Tc超导性，它是由满足线性色散关系的类无质量的Cooper对组成的BEC，在CuO_2平面上的电荷分布所限定的有限宽度的准二维层中传播。我们得到了一个封闭的公式的临界温度，Tc，取决于层的宽度，库珀对的结合能，和平均面内穿透深度。该公式合理地再现了几种不同的铜酸盐材料附近的最佳掺杂制度的超导转变温度的经验值，以及具有不同的掺杂度的YBCO薄膜。
英文摘要：
We describe high-Tc superconductivity in layered materials within a BCS theory as a BEC of massless-like Cooper pairons satisfying a linear dispersion relation, and propagating within quasi-2D layers of finite width defined by the charge distribution about the CuO_2 planes. We obtain a closed formula for the critical temperature, Tc, that depends on the layer width, the binding energy of Cooper's pairs, and the average in-plane penetration depth. This formula reasonably reproduces empirical values of superconducting transition temperatures for several different cuprate materials near the optimal doping regime, as well as for YBCO films with different doping degrees.
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