• 参考文献

2维p-波的哈密顿量 $\begin{aligned} H=& \sum_{m, n}\left\{-t\left(c_{m+1, n}^{\dagger} c_{m, n}+\text { h.c. }\right)-t\left(c_{m, n+1}^{\dagger} c_{m, n}+\text { h.c. }\right)-(\mu-4 t) c_{m, n}^{\dagger} c_{m, n}\right.\\ &\left.+\left(\Delta c_{m+1, n}^{\dagger} c_{m, n}^{\dagger}+\Delta^{*} c_{m, n} c_{m+1, n}\right)+\left(i \Delta c_{m, n+1}^{\dagger} c_{m, n}^{\dagger}-i \Delta^{*} c_{m, n} c_{m, n+1}\right)\right\} . \end{aligned}$ 傅里叶变换到动量空间，并写成矩阵形式 $H_{ BdG }=\frac{1}{2} \sum_{ p } \Psi_{ p }^{\dagger}\left(\begin{array}{cc} \epsilon( p ) & 2 i \Delta\left(\sin p_{x}+i \sin p_{y}\right) \\ -2 i \Delta^{*}\left(\sin p_{x}-i \sin p_{y}\right) & -\epsilon( p ) \end{array}\right) \Psi_{ p }$ 其中

• $\epsilon( p )=-2 t\left(\cos p_{x}+\cos p_{y}\right)-(\mu-4 t)$

1. 参考文献