The effect of strain on wurtzite GaN is studied theoretically using an
sp(3)d(5)-sp(3) empirical tight-binding model. The model incorporates
all nearest-neighbor and some second-nearest-neighbor interactions wi
thin the two-center approximation. The second-nearest-neighbor interac
tions excluded are the cation-cation interactions involving the Ga 3d
orbital. Strain is included by scaling the two-center integrals approp
riately. Thus the strain is modeled without invoking deformation poten
tial theory, obviating the need for any additional parameters. The pre
sent model can accommodate any arbitrary strain orientation. The band
structure has been calculated for in-plane biaxial strain. It is found
that the band gap remains direct for in-plane biaxial strains ranging
between +/- 5%. Furthermore, the valence-band edge is of a different
symmetry for tensile and compressive strains. The total density of sta
tes calculated via a fundamental numerical scheme is given for unstrai
ned and strained GaN.