关于二维非各向同性正方晶格的双孤子态

TWO DIMENSIONAL BISOLITON STATE IN THE ANISOTROPIC SQUARE CRYSTAL LATTICES

从含Ｃｕ氧化物材料Ｃｕ—Ｏ面准二维特性出发，在二维双弧子模型基础上，考虑到具有强烈各向异性的Ｃｕ—Ｏ面上存在电子声子局域强耦合效应，从理论上对两个准粒子与局域形变声子场相互作用形成双孤子束缚态的过程进行了探讨．给出了具有周期性的双孤子解．对两个准粒子的配对能、双孤子的有效质量、双孤子的稳定性以及它们与非各向同性的关系做了详细的分析．

Abstract By considering the anisotropy in the quasi two dimensional Cu O plane for the cuprate compound,on the basis of the two dimensional bisoliton model estabished,the nonlinear local coupling efects caused by the interactions between electrons and phonons in the strongly anisotropic Cu O plane are investiged.The formation of bisoliton and its bound states are discussed.The periodic bisoliton solution is given in the form of conoidal elliptic integral.The pairing energy for the two quasi particles,the effective mass and the stability of the bisoliton are analysed in terms of the anisotropy.