  In this work, we show that a buckled honeycomb lattice can host a
boundary-obstructed topological superconductor (BOTS) in the presence of f-wave
spin-triplet pairing (fSTP). The underlying buckled structure allows for the
manipulation of both chemical potential and sublattice potential using a double
gate setup. Although a finite sublattice potential can stabilize the fSTP with
a possible higher-order band topology, because it also breaks the relevant
symmetry, the stability of the corner modes is not guaranteed. Here we show
that the fSTP on the honeycomb lattice gives BOTS under nonzero sublattice
potential, thus the corner modes can survive as long as the boundary is gapped.
Also, by examining the large sublattice potential limit where the honeycomb
lattice can be decomposed into two triangular lattices, we show that the
boundary modes in the normal state are the quintessential ingredient leading to
the BOTS. Thus the effective boundary Hamiltonian becomes nothing but the
Hamiltonian for Kitaev chains, which eventually gives the corner modes of the
BOTS.
