  We examine a class of Hamiltonians characterized by interatomic, interorbital
even-odd parity hybridization as a model for a family of topological insulators
without the need for spin-orbit coupling. Non-trivial properties of these
materials are exemplified by studying the topologically-protected edge states
of s-p hybridized alkali and alkaline earth atoms in one and two-dimensional
lattices. In 1D the topological features are analogous to the canonical
Su-Schrieffer-Heeger model but, remarkably, occur in the absence of
dimerization. Alkaline earth chains, with Be standing out due to its gap size
and near particle-hole symmetry, are of particular experimental interest since
their Fermi energy without doping lies directly at the level of topological
edge stats. Similar physics is demonstrated to occur in a 2D honeycomb lattice
system of s-p bonded atoms, where dispersive edge states emerge. Lighter
elements are predicted using this model to host topological states in contrast
to spin-orbit coupling-induced band inversion favoring heaving atoms.
