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Commit 85ff7913 authored by Matthew Bunney's avatar Matthew Bunney
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Remove total column from table

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