Evidence for spin-polarized bound states in semiconductor-superconductor-ferromagnetic insulator islands
S. Vaitiekėnas,
R. Seoane Souto,
Y. Liu
et al.
Abstract:We report Coulomb blockade transport studies of InAs nanowires grown with epitaxial superconducting Al and ferromagnetic insulator EuS on overlapping facets. By comparing experimental results to a theoretical model, we associate cotunneling features in even-odd bias spectra with spinpolarized Andreev levels, indicating that spin splitting exceeding the induced superconducting gap at zero applied magnetic field. Energies of the polarized subgap states can be tuned on either side of zero by electrostatic gates.
“…The rich physics of coherent dynamics resulting from the interplay of the two channels can help to confirm the MZMs beyond the zero-bias-peak of conductance. The present study is also expected to stimulate further study of Majorana island in the presence of finite E C , which has been commonly assumed in contexts such as Majorana qubit construction, manipulation, and measurement [9,[41][42][43][44][45][46][47][48].…”
Based on the many-particle-number-state treatment for transport through a pair of Majorana zero modes (MZMs) which are coupled to the leads via two quantum dots, we identify that the reason for zero cross correlation of currents at uncoupling limit between the MZMs is from a degeneracy of the teleportation and the Andreev process channels. We then propose a scheme to eliminate the degeneracy by introducing finite charging energy on the Majorana island which allows for coexistence of the two channels. We find nonzero cross correlation established even in the Majorana uncoupling limit (and also in the small charging energy limit), which demonstrates well the teleportation or nonlocal nature of the MZMs. More specifically, the characteristic structure of coherent peaks in the power spectrum of the cross correlation is analyzed to identify the nonlocal and coherent coupling mechanism between the MZMs and the quantum dots. We also display the behaviors of peak shift with variation of the Majorana coupling energy, which can be realized by modulating parameters such as the magnetic field.
“…The rich physics of coherent dynamics resulting from the interplay of the two channels can help to confirm the MZMs beyond the zero-bias-peak of conductance. The present study is also expected to stimulate further study of Majorana island in the presence of finite E C , which has been commonly assumed in contexts such as Majorana qubit construction, manipulation, and measurement [9,[41][42][43][44][45][46][47][48].…”
Based on the many-particle-number-state treatment for transport through a pair of Majorana zero modes (MZMs) which are coupled to the leads via two quantum dots, we identify that the reason for zero cross correlation of currents at uncoupling limit between the MZMs is from a degeneracy of the teleportation and the Andreev process channels. We then propose a scheme to eliminate the degeneracy by introducing finite charging energy on the Majorana island which allows for coexistence of the two channels. We find nonzero cross correlation established even in the Majorana uncoupling limit (and also in the small charging energy limit), which demonstrates well the teleportation or nonlocal nature of the MZMs. More specifically, the characteristic structure of coherent peaks in the power spectrum of the cross correlation is analyzed to identify the nonlocal and coherent coupling mechanism between the MZMs and the quantum dots. We also display the behaviors of peak shift with variation of the Majorana coupling energy, which can be realized by modulating parameters such as the magnetic field.
“…The rich physics of coherent dynamics resulting from the interplay of the two channels can help to confirm the MZMs beyond the zero-bias-peak of conductance. The present study is also expected to stimulate further study of Majorana island in the presence of finite E C , which has been commonly assumed in contexts such as Majorana qubit construction, manipulation, and measurement [41][42][43][44][45][46][47][48][49].…”
Based on the many-particle-number-state treatment for transport through a pair of Majorana zero modes (MZMs) which are coupled to the leads via two quantum dots, we identify that the reason for zero cross correlation of currents at uncoupling limit between the MZMs is from a degeneracy of the teleportation and the Andreev process channels. We then propose a scheme to eliminate the degeneracy by introducing finite charging energy on the Majorana island which allows for coexistence of the two channels. We find nonzero cross correlation established even in the Majorana uncoupling limit, which demonstrates well the nonlocal nature of the MZMs. More specifically, the characteristic structure of coherent peaks in the power spectrum of the cross correlation is analyzed to identify the nonlocal and coherent coupling mechanism between the MZMs and the quantum dots. We also display the behaviors of peak shift with variation of the Majorana coupling energy, which can be realized by modulating parameters such as the magnetic field.
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