In the present paper we study the phase diagram of the Heisenberg model on the honeycomb lattice with antiferromagnetic interactions up to third neighbors along the line J2=J3 that include the point J2=J3=J1/2, corresponding to the highly frustrated point where the classical ground state has macroscopic degeneracy. Using the Linear Spin-Wave, Schwinger boson technique followed by a mean field decoupling and exact diagonalization for small systems we find an intermediate phase with a spin gap and short range N\'eel correlations in the strong quantum limit (S=1/2). All techniques provide consistent results which allow us to predict the existence of a quantum disordered phase, which may have been observed in recent high-field ESR measurements in manganites.
@article{arxiv.1003.3226,
title = {Quantum disordered phase on the frustrated honeycomb lattice},
author = {D. C. Cabra and C. A. Lamas and H. D. Rosales},
journal= {arXiv preprint arXiv:1003.3226},
year = {2015}
}