Competition betweend-wave and topologicalp-wave superconducting phases in the doped Kitaev-Heisenberg model

摘要: The competition between Kitaev and Heisenberg interactions away from half filling is studied for the hole-doped Kitaev-Heisenberg $t$-${J}_{K}$-${J}_{H}$ model on a honeycomb lattice. While isotropic coupling supports time-reversal violating $d$-wave singlet state, we find that interaction favors invariant $p$-wave superconducting phase, which obeys rotational symmetries of microscopic model, robust ${J}_{H}l{J}_{K}/2$. Within critical chemical potential $|\ensuremath{\mu}|={\ensuremath{\mu}}_{c}\ensuremath{\approx}t$ separates topologically trivial phase $|\ensuremath{\mu}|l{\ensuremath{\mu}}_{c}$ nontrivial ${Z}_{2}$ spin-triplet $|\ensuremath{\mu}|g{\ensuremath{\mu}}_{c}$.