  In a recent paper, we derived the leading alpha' corrections to the Kahler
potentials for moduli in (0,2) heterotic compactifications. In the same spirit
as the LARGE volume stabilization scenario for type IIB orientifolds, we
examine whether these quantum corrections, together with a combination of
tree-level and non-perturbative superpotentials, are sufficient to stabilize
the overall volume modulus at large values. This is not a priori obvious, since
the corrections we found are of a lower order than those used in the type IIB
setting. Nevertheless, we find that stabilizing the volume at (exponentially)
large values may be possible (under certain conditions) in these heterotic
backgrounds.
