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We construct and study a time reversal broken tight binding model on diamondlattice with complex next-nearest-neighbour hopping which can be thought of asa generalisation of two dimensional Haldane model in three dimension. The modelalso breaks inversion symmetry owing to sub-lattice dependent chemicalpotential. We calculate the spectrum of the model and find the existence of sixpairs of anisotropic gapless points with linear dependence on momentum. Thecoordinates of the gapless points are ($2 \pi, \pi \pm k_0,0),~ (2 \pi, \pi \pmk_0,2 \pi)$ and their possible permutations . The condition for gaplessspectrum is very similar to the two dimensional case. Each gapless points arehaving well defined chirality and in the gapless phase specific set of planeshave non-zero Chern number. The gapped phase is a trivial bulk insulator whichhas vanishing Chern number as well as Hopf index. The model belongs to thesymmetry class AIII according to the ten-fold way of classification.Surprisingly the gapless phase does contain a gapped surface state where as thegapped state has a gapless surface states as found in (1,1,1) direction.

Existence of nodal line semi-metal in a generalized three dimensional Haldane model