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SnTe materials are one of the most flexible material platforms for exploringthe interplay of topology and different types of symmetry breaking. We studysymmetry-protected topological states in SnTe nanowires in the presence ofvarious combinations of Zeeman field, s-wave superconductivity andinversion-symmetry-breaking field. We uncover the origin of robust cornerstates and hinge states in the normal state. In the presence ofsuperconductivity, we find inversion-symmetry-protected gapless bulk Majoranamodes, which give rise to quantized thermal conductance in ballistic wires. Byintroducing an inversion-symmetry-breaking field, the bulk Majorana modesbecome gapped and topologically protected localized Majorana zero modes appearat the ends of the wire.

Corner states, hinge states and Majorana modes in SnTe nanowires