  We show that Majorana fermions associated with Majorana flat bands emerge as
zero energy modes on the [110] edge of single layer or multilayer nodal
superconductors with $d_{x^2-y^2}$-wave pairing and Rashba spin-orbit coupling.
Moreover, as long as the global inversion symmetry of the single layer or
multilayer superconductor is broken, and in the presence of an in-plane
magnetic field parallel to the [110] edge, the Majorana fermions together with
usual fermionic Andreev bound states induce a triple-peak structure in
tunnelling spectroscopy experiments. Importantly, we show that the zero bias
conductance peak is induced by Majorana fermions. Therefore, tunnelling
spectroscopy can be used to probe Majorana fermions in nodal $d_{x^2-y^2}$-wave
superconductors.

Superconductivity;Mesoscale and Nanoscale Physics