  Quantum spin liquids hosting Majorana excitations have recently experienced
renewed interest for potential applications to topological quantum computation.
Performing logical operations with reduced poisoning requires to localize such
quasiparticles at specific point of the system, with energies that are well
defined and inside the bulk energy gap. These are two defining features of
second order topological insulators (SOTIs). Here, we show two spin models that
support quantum spin liquid phases characterised by Majorana excitations and
that behave as SOTIs, one of which is analytically solvable thanks to a theorem
by Lieb. We show that, depending on the values of spin couplings, it is
possible to localize either fermions or Majorana particles at their corners.
