Abstract
Sau, Lutchyn, Tewari and Das Sarma (SLTD) proposed a heterostructure consisting of a semiconducting thin film sandwiched between an s-wave superconductor and a magnetic insulator and showed possible Majorana zero mode. Here we study spin polarization of the vortex core states and spin selective Andreev reflection at the vortex center of the SLTD model. In the topological phase, the differential conductance at the vortex center contributed from the Andreev reflection, is spin selective and has a quantized value {(dI/dV)}_{A}^{topo}=2{e}^{2}/h at zero bias. In the topological trivial phase, {(dI/dV)}_{A}^{trivial} at the lowest quasiparticle energy of the vortex core is spin selective due to the spin-orbit coupling (SOC). Unlike in the topological phase, {(dI/dV)}_{A}^{trivial} is suppressed in the Giaever limit and vanishes exactly at zero bias due to the quantum destruction interference.
Highlights
After sufficient number of iterations, the coefficient A becomes the effective interaction between pretty far sites which must be a sub-matrix comprised of small values
Intel MKL PARDISO Solver could be used to solve the linear equation of sparse matrix Eq (36)
For normal Andreev reflection, incident electrons are reflected by SC device as holes with opposite spin direction
Summary
Each letter presents a 4×4 sub-matrix with different site indexes. Note that the only value that we need fisorgm11s=, GLR(0, 0), for the surface Green’s function of the lead. Repeat these steps in Eq (32), we will update the coefficient and abandon the Green’s function between nearby sites consistently. After sufficient number of iterations, the coefficient A becomes the effective interaction between pretty far sites which must be a sub-matrix comprised of small values.
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