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We study the extent of the spin liquid phases in the Kitaev-Heisenberg modelusing infinite Projected Entangled-Pair States tensor network ansatz wavefunctions directly in the thermodynamic limit. To assess the accuracy of theansatz wave functions we perform benchmarks against exact results for theKitaev model and find very good agreement for various observables. In the caseof the Kitaev-Heisenberg model we confirm the existence of 6 different phases:N\'eel, stripy, ferromagnetic, zigzag and two spin liquid phases. We findfinite extents for both spin liquid phases and discontinuous phase transitionsconnecting them to symmetry-broken phases.

Probing the stability of the spin liquid phases in the Kitaev-Heisenberg model using tensor network algorithms