Effect of Majorana Fermions on Andreev Spectroscopy [-3pt]of Multiband Topological Superconductors
A.C. Silva a, M.A.N. Araújoa,b,c and P.D. Sacramentoa,c
aCFIF, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
bDepartamento de Física, Universidade de Évora, P-7000-671, Évora, Portugal
cBeijing Computational Science Research Center, Beijing 100089, China
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We introduce a model for a multiband topological superconductor with two orbitals per lattice site, in two spatial dimensions. Concentrating on the Andreev reflection problem, the appropriate wave function matching conditions for an interface with a normal single-band metal were previously derived in the framework of a quantum waveguide theory. This theory retrieves the correct number of Majorana fermion states as predicted by the topological index. We obtain the differential conductance as a function of bias voltage, which displays the contribution of the Majorana fermions. Interface disorder is also considered. By varying band structure parameters, topological transitions can be induced, whereby the number of the Majorana modes varies. We calculate the effect of such transitions on the differential conductance.

DOI: 10.12693/APhysPolA.128.210
PACS numbers: 71.10.Fd, 71.10.Pm, 71.10.Li, 73.20.-r, 74.45.+c, 74.20.Rp, 74.70.-b