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首页> 外文期刊>Journal of Superconductivity >An Effective Interaction Approach to Anisotropic Superconductors Beyond the Weak Coupling Theory - An Origin of the d-wave Symmetry in High-T{sub}c Cuprate
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An Effective Interaction Approach to Anisotropic Superconductors Beyond the Weak Coupling Theory - An Origin of the d-wave Symmetry in High-T{sub}c Cuprate

机译:超越弱耦合理论的各向异性超导体的有效相互作用方法-高T {sub} c铜酸盐中d波对称性的起源

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摘要

We propose an effective interaction approach to superconducting systems which is adapted to periodic systems and intermediate net coupling between charge carriers by phonon mediated and Coulomb repulsive interactions. A coupling function of effective interaction is given for homogeneous field beyond the weak coupling approximation by using a generalized intermediate coupling method. Adequate kernel for the periodic systems is also reduced to that coupling function in homogeneous field and the Fourier coefficients relevant to the Bloch function. Within the present approach we discuss the symmetry of the superconducting gap in cuprate under the assumption that a nonbonding band filled by 2p{sub}σ electrons exists in an undoped system and that doped holes occupy orbitals in this band. Those orbitals are represented by linear combinations of p{sub}x and p{sub}y functions. It is argued, in the tetragonal limit, that the symmetry of the gap function is d-wave-like on account of the products of orbital functions in combination of singlet spin-pair in the kernel.
机译:我们提出了一种有效的超导系统相互作用方法,该方法适用于周期系统和通过声子介导的和库仑排斥相互作用的电荷载体之间的中间净耦合。通过使用广义的中间耦合方法,为均匀场给出了弱耦合近似之后有效相互作用的耦合函数。周期系统的足够核也减少到齐次场中的耦合函数以及与Bloch函数有关的傅立叶系数。在本方法中,我们假设在未掺杂的系统中存在由2p {sub}σ电子填充的非键带并且掺杂的空穴占据该带中的轨道的假设,从而讨论了铜酸盐中超导间隙的对称性。这些轨道由p {sub} x和p {sub} y函数的线性组合表示。在四边形的极限中,由于核函数中结合单重态自旋对的轨道函数的乘积,认为间隙函数的对称性呈d波状。

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