  The search for large gap quantum spin Hall (QSH) and quantum anomalous Hall
(QAH) insulators is important both for fundamental and practical interests. The
degenerate multi-orbitals $p_x,p_y$ in honeycomb lattice provides a paradigm
for QSH state with a boosted topological gap of the first order in atomic
spin-orbit coupling. By using elementary band representation, we explore the
feasibility of this mechanism for QSH in general two-dimensional lattices, and
find that the biparticle lattices with $C_{3v}$ or $C_{4v}$ symmetry and
degenerate multi-orbitals could work. We further provide concrete tight-binding
models on honeycomb, kagome and square lattices to demonstrate the desired
topological physics. By introducing ferromagnetism into QSH state, we extend
the mechanism to QAH state with a boosted gap. The QSH and QAH states can be
achieved when Fermi level is at integer filling only for honeycomb lattice, but
at certain fractional filling for other lattices. We conclude with a brief
discussion on the possible material venues for such mechanism.
