Fig. 5: The ground-state phase diagram of hole-doped \(K-J-\varGamma -\varGamma ^{\prime} -{J}_{3}\) model defined in Eq. (10); see also model parameters in Eq. (9).
From: Kinetic ferromagnetism and topological magnons of the hole-doped Kitaev spin liquid

The left inset shows a typical zigzag order at (t, hin) = (0.3, 0.03) and the right one shows a polarized state at (t, hin) = (0.5, 0.06). Positive and negative local magnetizations, \(\langle {S}_{j}^{x}\rangle\), are represented by red and blue dots, respectively, with their radii scaled according to the magnitude of \(\langle {S}_{j}^{x}\rangle\), with \(\langle {S}_{j}^{x}\rangle \approx 0.21\). The doping level is δ = 0.0625.