Phases and quantum phase transitions in an anisotropic ferromagnetic 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 spin-1/2ferromagnetic Heisenberg-Kitaev-\mathrm{\ensuremath{\Gamma}}model in the anisotropic (Toric code) limit to reveal the nature of the quantum phase transition between the gapped {Z}_{2}quantum spin liquid and a spin-ordered phase (driven by Heisenberg interactions) as well as a trivial paramagnet (driven by pseudodipolar interactions \mathrm{\ensuremath{\Gamma}}. The transitions are obtained by a simultaneous...