Bosonic Dirac materials on a honeycomb antiferromagnetic Ising model

Abstract

Motivated by the recent proposal of Bosonic Dirac materials (BDM), we revisited the Ising model on a honeycomb lattice in the presence of the longitudinal and transverse fields. We applied linear spin-wave theory to obtain the magnon dispersion and its Bosonic Dirac points (BDP). At the vicinity of these BDP, the magnon spectrum becomes linear and its crossing bands are robust against a weak impurity, exactly as occur in the fermionic case. We studied the influence of a weak disorder potential over the dispersive edge states and the BDP. Also, using Effective Field Theory, we calculated the quantum and thermal fluctuations over the ground state of the system. The fine-tuning of the fields reveals to control the localization of the BDP. To verify this experimentally, we suggest the compound Ba2CoTeO6.