Depletion interaction in a suspension of rodlike colloids with added non-ad
sorbing polymer coils is theoretically studied. We calculate an overlap vol
ume of depletion zone between two rodlike colloids, based on the second vir
ial approximation. We examine nematic-isotropic phase transition (NIT) and
two-phase coexistence between an isotropic and a nematic phase at low polym
er concentrations. We find that the depletion interaction is dependent on t
he orientational order parameter of rodlike colloids and leads to a decreas
e in the NIT concentration oil the addition of polymer. The coexistence cur
ves have a leaning-chimney shape and are shifted to lower rod concentration
s on increasing the polymer concentration.