  We investigate the finite temperature spin density wave (SDW) and charge
density wave (CDW) transition of two-component lattice spinor Bose gases in
optical lattices in the Mott-insulator limit. At the temperature scale around
half of the on-site interaction energy, we find a new critical regime emerges
and features, in particular, a new bicritical line and two critical lines
associated with the finite temperature SDW-CDW, homogeneous-SDW, and
homogeneous-CDW transition, respectively. Direct calculation of the critical
exponents for the scaling behavior and investigating on the effective theory in
this critical regime show that they belong to the five-dimensional Ising
universality class, clearly manifesting the long-range character of the
system's interaction. Our prediction of the emergent criticality can be readily
observed by current experimental setups operated at the intermediate
temperature scale around half the on-site interaction energy.
