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The spin-1/2 Heisenberg antiferromagnet on the distorted honeycomb (DHC)lattice is studied by means of the tensor renormalization group method. It isunveiled that the system has a quantum phase transition of second-order betweenthe gapped quantum dimer phase and a collinear Neel phase at the critical pointof coupling ratio \alpha_{c} = 0.54, where the quantum critical exponents \nu =0.69(2) and \gamma = 1.363(8) are obtained. The quantum criticality is found tofall into the O(3) universality class. A ground-state phase diagram in thefield-coupling ratio plane is proposed, where the phases such as the dimer,semi-classical Neel, and polarized phases are identified. A link between thepresent spin system to the boson Hubbard model on the DHC lattice is alsodiscussed.

physical review. b, condensed matter and materials physics

Quantum Phase Transition, O(3) Universality Class and Phase Diagram of  Spin-1/2 Heisenberg Antiferromagnet on Distorted Honeycomb Lattice: A Tensor  Renormalization Group Study