The coexistence of different order parameters and the pairing symmetry is the major issue in the study of one dimensional wires. We adopt a tight-binding model, for the coexistence of superconductivity and antiferromagnetism in $s$-wave pairing symmetry, which is consistent and most favourable for the nearest-neighbour pairing interaction, and derive a set of gap equations which are solved numerically and self-consistently. The effects of the order parameters on one another are studied. We have also calculated the density of states and band energies. The density of states shows the defined interference peaks on either side of the Fermi level corresponding to the order parameters with van Hove singularities.

不同阶参数的共存和配对对称性是一维线研究的主要问题。我们采用紧束缚模型，用于超导和反铁磁性的共存$s$-波配对对称性，这是一致的，最有利于最近邻配对相互作用，并推导出一组间隙方程，这些方程可以通过数值和自洽方式求解。研究了顺序参数对彼此的影响。我们还计算了状态密度和能带能量。状态密度显示了在费米能级两侧定义的干涉峰，对应于具有范霍夫奇点的阶参数。