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