标题： 空穴掺杂铜酸盐中由于声子d波配对的最大临界温度随层数的变化 显示英文标题

标题： Maximal critical temperature dependence on number of layers due to phonon d-wave pairing in hole doped cuprates

摘要： 最近有人提出了一种铜氧化物中d波配对的顶角氧原子振动交换机制。 绝缘层中的声子模式在金属铜氧平面内产生空穴吸引力。 配对在晶体学伽马点处达到最大值，导致d波通道。 这里将这一想法推广到多层铜氧化物中，包括面内呼吸子和半呼吸子模式，从而在相同多层结构的相邻铜氧层中产生配对。 研究表明，声子交换与自旋涨落配对相互增强，因为参数磁振子配对在晶体学M点达到峰值。 声子贡献解释了临界温度Tc对层数N的最大依赖关系。从N=1到N=3，Tc以每隔15K增加一次，然后趋于饱和。 最佳掺杂条件下现场库仑排斥力的强度，用于获得有效现场排斥力U=(1.5-2) eV范围内观察到的中间范围内的最大临界温度值，比高温超导的纯平面（自旋涨落）理论中常用的值小。 显示英文摘要

摘要： Recently an apical oxygen atoms vibrations exchange mechanism of d-wave pairing in cuprates was proposed. The phonon mode in an insulating layer generates attraction of holes in metallic cuper oxygen planes. The pairing has a maximum at the crystallographic gamma point leading to d-wave channel. The idea is generalized here to include the in-plane breathers and half - breather modes in a multi-layer cuprate generating the pairing in an adjacent cuper oxygen layer of the same multi-layer. It is demonstrated that the phonon exchange and the spin fluctuation pairing constructively enhance each other since the paramagnon pairing peaks at crystallographic M point. The phonon contribution explains the maximal critical temperature dependence on the number of layers N. It rises equidistantly by 15K from N=1 to N=3 and then saturates. The strength of the onsite Coulomb on site repulsion at optimal doping is to obtain the observed values of maximal critical temperature in the intermediate range of the effective on-site repulsion U=(1.5-2) eV, smaller than commonly used in purely in-plane (spin fluctuation) theory of high temperature superconductivity.