diff --git a/main.tex b/main.tex index 3ac0d41e8fe33d4c5892ee52cba3b72a72bab0e7..481b983d4494a38318d5eace5c3308c25c21a70e 100644 --- a/main.tex +++ b/main.tex @@ -302,61 +302,35 @@ presented in the following. \begin{table} \centering -\begin{tabular}{cccc} \toprule - {$\gamma$} & Spatial & Spin & Total \\ \hline +\begin{tabular}{ccc} \toprule + {$\gamma$} & Spatial Pairing & Spin Pair \\ \hline \sym A 1 & \numberedHexagon{$\Delta_s$}{1}{1}{1}{1}{1}{1} - & $\Psi$ - & $\begin{gathered} - \Delta_{s} \Psi \\ - \Delta_{p_x} d_x - \Delta_{p_y} d_y - \end{gathered}$ \\ - \sym A 2 & --- & $d_z$ - & $\Delta_{p_y} d_x + \Delta_{p_x} d_y$\\ - \sym B 1 & \numberedHexagon{$\Delta_f$}{-1}{1}{-1}{1}{-1}{1} & --- & --- \\ - \sym B 2 & --- & --- & $\Delta_{f} d_z$ \\[0.5em] \hline \\ + & $\Psi$ \\ + \sym A 2 & --- & $d_z$ \\ + \sym B 1 & \numberedHexagon{$\Delta_f$}{-1}{1}{-1}{1}{-1}{1} & --- \\ \sym E 1 & - \hspace{0.15cm} % Fix spacing in the table + \hspace{0.2cm} % Fix spacing in the table $\begin{bmatrix} - \numberedHexagon{$\Delta_{p_x}$}{1}{-1}{-2}{-1}{1}{2} \\ + \numberedHexagon{$\Delta_{p_x}$}{1}{-1}{-2}{-1}{1}{2} & \numberedHexagon{$\Delta_{p_y}$}{1}{1}{0}{-1}{-1}{0} \end{bmatrix} $ - \hspace{0.15cm} % Fix spacing in the table + \hspace{0.2cm} % Fix spacing in the table & $\begin{bmatrix} - d_x \\ + d_x & d_y - \end{bmatrix}$ - & $\begin{bmatrix} - \Delta_{p_x} \\ - \Delta_{p_y} - \end{bmatrix} d_z $ \\[6em] + \end{bmatrix}$ \\[3em] \sym E 2 & - $\left[ - \begin{aligned} - \numberedHexagon{$\Delta_{d_{x^2-y^2}}$}{-1}{-1}{2}{-1}{-1}{2} \\ - \numberedHexagon{$\Delta_{d_{xy}}$}{1}{-1}{0}{1}{-1}{0} - \end{aligned} - \right] $ - & --- - & \hspace{0.5cm} - $\begin{gathered} - \begin{bmatrix} - \Delta_{d_{xy}} \\ - \Delta_{d_{x^-y^2}} - \end{bmatrix} \Psi \\ - \Delta_f \begin{bmatrix} - d_x \\ - d_y - \end{bmatrix} \\ - \begin{bmatrix} - \Delta_{p_y} d_x - - \Delta_{p_x} d_y \\ - \Delta_{p_x} d_x - + \Delta_{p_y} d_y - \end{bmatrix} - \end{gathered}$ - \hspace{0.5cm} - \\[6em] \hline + $\begin{bmatrix} + \hspace{0.03cm} + \numberedHexagon{$\Delta_{d_{x^2-y^2}}$}{-1}{-1}{2}{-1}{-1}{2} + \hspace{0.03cm} + & + \hspace{0.03cm} + \numberedHexagon{$\Delta_{d_{xy}}$}{1}{-1}{0}{1}{-1}{0} + \hspace{0.03cm} + \end{bmatrix}$ + & --- \\[3em] \hline \end{tabular} \caption{ \captiontitle{Basis functions of irreducible representations} @@ -364,8 +338,7 @@ presented in the following. The second column is the basis function in real space, for example, as the bond pairing on nearest neighbour bonds. The third column is the two-spin basis function, in terms of the typical superconducting psuedo- - vector formulation $(\Psi, \bvec d)$. The fourth column is the total - spatial and two-spin basis function, calculated as decribed in the text.} + vector formulation $(\Psi, \bvec d)$.} \label{tab:irrep_basis_fns} \end{table}