  Electronic nematicity, proposed to exist in a number of transition metal
materials, can have different microscopic origins. In particular, the
anisotropic resistivity and meta-magnetic jumps observed in Sr3Ru2O7 are
consistent with an earlier proposal that the isotropic-nematic transition is
generically first order and accompanied by meta-magnetism when tuned by a
magnetic field. However, additional striking experimental features such as a
non-Fermi liquid resistivity and critical thermodynamic behavior imply the
presence of an unidentified quantum critical point (QCP). Here we show that
orbital degrees of freedom play an essential role in revealing a nematic QCP,
even though it is overshadowed by a nearby meta-nematic transition at low
temperature. We further present a finite temperature phase diagram including
the entropy landscape and discuss our findings in light of the phenomena
observed in Sr3Ru2O7.
