Table 1 Categories of non-Abelian topological charges in four-band models.
From: Four-band non-Abelian topological insulator and its experimental realization
\({Q}_{16}\): Clifford-basis label | \({Q}_{16}\): Band index label | Eigenvalues: \(\left({\lambda }_{1},{\lambda }_{2},{\lambda }_{3},{\lambda }_{4}\right)\) |
|---|---|---|
\(\,\left\{+1\right\},\left\{-1\right\}\) | \(\left\{+1\right\},\left\{-1\right\}\) | \(\left({{{1,1,1,1}}}\right)\) |
\(\left\{\pm {e}_{1}\right\}\) | \(\left\{\pm {q}_{12}\right\}\) | \(\left(-1,-{{{1,1,1}}}\right)\) |
\(\left\{\pm {e}_{2}\right\}\) | \(\left\{\pm {q}_{13}\right\}\) | \(\left({{-{1,1}}},-{{{1,1}}}\right)\) |
\(\left\{\pm {e}_{3}\right\}\) | \(\left\{\pm {q}_{14}\right\}\) | \(\left(-{{{1,1,1}}},-1\right)\) |
\(\left\{\pm{e}_{1}{e}_{2}\right\}\) | \(\left\{\pm {q}_{23}\right\}\) | \(\left({{1,-1,-1}},1\right)\) |
\(\left\{\pm{e}_{1}{e}_{3}\right\}\) | \(\left\{\pm {q}_{24}\right\}\) | \(\left({{{1,-1,1}}},-1\right)\) |
\(\left\{\pm{e}_{2}{e}_{3}\right\}\) | \(\left\{\pm {q}_{34}\right\}\) | \(\left({{{1,1,-1}}},-1\right)\) |
\(\,\left\{+{e}_{1}{e}_{2}{e}_{3}\right\},\left\{-{e}_{1}{e}_{2}{e}_{3}\right\}\) | \(\,\left\{+{q}_{1234}\right\},\left\{-{q}_{1234}\right\}\) | \(\,\left(-1,-1,-1,-1\right)\) |
