Table 4 Hopping amplitudes within the two-orbital submanifold.

From: Order from disorder phenomena in BaCoS2

Bond direction

Hopping matrix (meV)

T(1, 1, 0) = T(−1, −1, 0)

\(\left(\begin{array}{rc}96&102\\ 102&94\end{array}\right)\)

T(1, −1, 0) = T(−1, 1, 0)

\(\left(\begin{array}{rc}96&-102\\ -102&94\end{array}\right)\)

T(1, 0, 0) = T(−1, 0, 0)

\(\left(\begin{array}{rc}2&0\\ 0&-43\end{array}\right)\)

T(0, 1, 0) = T(0, −1, 0)

\(\left(\begin{array}{rc}-48&0\\ 0&2\end{array}\right)\)

T(1, 0, 1) = T(−1, 0, 1)

\(\left(\begin{array}{rc}-68&0\\ 0&18\end{array}\right)\)

T(0, 1, 1) = T(0, −1, 1)

\(\left(\begin{array}{rc}20&0\\ 0&-69\end{array}\right)\)

  1. Leading hopping processes \({T}_{({n}_{x},{n}_{y},{n}_{z})}\), where r = (nx, ny, nz) identifies the bond connecting Co(1), see Fig. 2, to another cobalt at distance r. The bonds emanating from Co(2) are obtained by the non-symmorphic symmetry, which, in particular, implies nz → −nz. All hopping processes are written as matrices in the subspace \(\left({d}_{xz},{d}_{yz}\right)\). The values, in meV, are obtained by the 5-orbital model restricted to the \(\left({d}_{xz},{d}_{yz}\right)\) subspace.