Antiferromagnetism and d-wave superconductivity are the most important competing ground-state phases of cuprate superconductors. In this regard, we have proposed a model Hamiltonian describing the interlayer tunnelling in d-wave bilayer cuprate superconductors in the coexistence of superconductivity and antiferromagnetism. The Hamiltonian model is solved for the quasiparticle energy bands, the superconducting and the antiferromagnetic gap parameters by using Zubarev’s technique of double time electron Green’s functions. The effects of interlayer tunnelling are studied for superconducting and antiferromagnetic gap parameters.

中文翻译：

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双层铜酸盐超导体中SC和AFM的竞争顺序参数。

反铁磁性和d波超导是铜酸盐超导体最重要的竞争基态相。在这方面，我们提出了一种模型哈密顿量模型，该模型描述了在超导性和反铁磁性同时存在的d波双层铜酸盐超导体中的层间隧穿。利用双倍电子格林函数的Zubarev技术，求解了准粒子能带，超导和反铁磁间隙参数的哈密顿模型。研究了层间隧穿对超导和反铁磁间隙参数的影响。