The
orbital degree of freedom, strongly coupled with the lattice
and spin, is an important factor when designing correlated functions.
Whether the long-range orbital order is stable at reduced dimensions
and, if not, what the critical thickness is remains a tantalizing
question. Here, we report the melting of orbital ordering, observed
by controlling the dimensionality of the canonical eg
1 orbital system LaMnO3. Epitaxial films are synthesized
with vertically aligned orbital ordering planes on an orthorhombic
substrate, so that reducing film thickness changes the two-dimensional
planes into quasi-one-dimensional nanostrips. The orbital order appears
to be suppressed below the critical thickness of about six unit cells
by changing the characteristic phonon modes and making the Mn d orbital
more isotropic. Density functional calculations reveal that the electronic
energy instability induced by bandwidth narrowing via the dimensional
crossover and the interfacial effect causes the absence of orbital
order in the ultrathin thickness.