Phases and quantum phase transitions in the anisotropic antiferromagnetic Kitaev-Heisenberg- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="normal">Γ</mml:mi></mml:math> magnet

We study the Kitaev-Heisenberg-\mathrm{\ensuremath{\Gamma}}model with antiferromagnetic Kitaev exchanges in the strong anisotropic (toric code) limit to understand the phases and the intervening phase transitions between the gapped {Z}_{2}quantum spin liquid and the spin-ordered (in the Heisenberg limit) as well as paramagnetic phases (in the pseudodipolar, \mathrm{\ensuremath{\Gamma}} limit). We find that the paramagnetic phase...