Theory for Spin Selective Andreev Reflection in Vortex Core of Topological Superconductor: Majorana Zero Modes on Spherical Surface and Application to Spin Polarized Scanning Tunneling Microscope Probe
Majorana zero modes (MZMs) have been predicted to exist in the topological insulator (TI)/superconductor (SC) heterostructure. Recent spin polarized scanning tunneling microscope (STM) experiment$^{1}$ has observed spin-polarization dependence of the zero bias differential tunneling conductance at t...
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ftdatacite:10.48550/arxiv.1607.03449 2023-05-15T17:39:46+02:00 Theory for Spin Selective Andreev Reflection in Vortex Core of Topological Superconductor: Majorana Zero Modes on Spherical Surface and Application to Spin Polarized Scanning Tunneling Microscope Probe Hu, Lun-Hui Li, Chuang Xu, Dong-Hui Zhou, Yi Zhang, Fu-Chun 2016 https://dx.doi.org/10.48550/arxiv.1607.03449 https://arxiv.org/abs/1607.03449 unknown arXiv https://dx.doi.org/10.1103/physrevb.94.224501 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Superconductivity cond-mat.supr-con FOS Physical sciences article-journal Article ScholarlyArticle Text 2016 ftdatacite https://doi.org/10.48550/arxiv.1607.03449 https://doi.org/10.1103/physrevb.94.224501 2022-04-01T11:06:18Z Majorana zero modes (MZMs) have been predicted to exist in the topological insulator (TI)/superconductor (SC) heterostructure. Recent spin polarized scanning tunneling microscope (STM) experiment$^{1}$ has observed spin-polarization dependence of the zero bias differential tunneling conductance at the center of vortex core, which may be attributed to the spin selective Andreev reflection, a novel property of the MZMs theoretically predicted in 1-dimensional nanowire$^{2}$. Here we consider a helical electron system described by a Rashba spin orbit coupling Hamiltonian on a spherical surface with a s-wave superconducting pairing due to proximity effect. We examine in-gap excitations of a pair of vortices with one at the north pole and the other at the south pole. While the MZM is not a spin eigenstate, the spin wavefunction of the MZM at the center of the vortex core, r = 0, is parallel to the magnetic field, and the local Andreev reflection of the MZM is spin selective, namely occurs only when the STM tip has the spin polarization parallel to the magnetic field, similar to the case in 1-dimensional nanowire2. The total local differential tunneling conductance consists of the normal term proportional to the local density of states and an additional term arising from the Andreev reflection. We also discuss the finite size effect, for which the MZM at the north pole is hybridized with the MZM at the south pole. We apply our theory to examine the recently reported spin-polarized STM experiments and show good agreement with the experiments. : 14 pages, 14 figures, 1 table. Comments are welcome! Text North Pole South pole DataCite Metadata Store (German National Library of Science and Technology) South Pole North Pole |
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Superconductivity cond-mat.supr-con FOS Physical sciences |
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Superconductivity cond-mat.supr-con FOS Physical sciences Hu, Lun-Hui Li, Chuang Xu, Dong-Hui Zhou, Yi Zhang, Fu-Chun Theory for Spin Selective Andreev Reflection in Vortex Core of Topological Superconductor: Majorana Zero Modes on Spherical Surface and Application to Spin Polarized Scanning Tunneling Microscope Probe |
topic_facet |
Superconductivity cond-mat.supr-con FOS Physical sciences |
description |
Majorana zero modes (MZMs) have been predicted to exist in the topological insulator (TI)/superconductor (SC) heterostructure. Recent spin polarized scanning tunneling microscope (STM) experiment$^{1}$ has observed spin-polarization dependence of the zero bias differential tunneling conductance at the center of vortex core, which may be attributed to the spin selective Andreev reflection, a novel property of the MZMs theoretically predicted in 1-dimensional nanowire$^{2}$. Here we consider a helical electron system described by a Rashba spin orbit coupling Hamiltonian on a spherical surface with a s-wave superconducting pairing due to proximity effect. We examine in-gap excitations of a pair of vortices with one at the north pole and the other at the south pole. While the MZM is not a spin eigenstate, the spin wavefunction of the MZM at the center of the vortex core, r = 0, is parallel to the magnetic field, and the local Andreev reflection of the MZM is spin selective, namely occurs only when the STM tip has the spin polarization parallel to the magnetic field, similar to the case in 1-dimensional nanowire2. The total local differential tunneling conductance consists of the normal term proportional to the local density of states and an additional term arising from the Andreev reflection. We also discuss the finite size effect, for which the MZM at the north pole is hybridized with the MZM at the south pole. We apply our theory to examine the recently reported spin-polarized STM experiments and show good agreement with the experiments. : 14 pages, 14 figures, 1 table. Comments are welcome! |
format |
Text |
author |
Hu, Lun-Hui Li, Chuang Xu, Dong-Hui Zhou, Yi Zhang, Fu-Chun |
author_facet |
Hu, Lun-Hui Li, Chuang Xu, Dong-Hui Zhou, Yi Zhang, Fu-Chun |
author_sort |
Hu, Lun-Hui |
title |
Theory for Spin Selective Andreev Reflection in Vortex Core of Topological Superconductor: Majorana Zero Modes on Spherical Surface and Application to Spin Polarized Scanning Tunneling Microscope Probe |
title_short |
Theory for Spin Selective Andreev Reflection in Vortex Core of Topological Superconductor: Majorana Zero Modes on Spherical Surface and Application to Spin Polarized Scanning Tunneling Microscope Probe |
title_full |
Theory for Spin Selective Andreev Reflection in Vortex Core of Topological Superconductor: Majorana Zero Modes on Spherical Surface and Application to Spin Polarized Scanning Tunneling Microscope Probe |
title_fullStr |
Theory for Spin Selective Andreev Reflection in Vortex Core of Topological Superconductor: Majorana Zero Modes on Spherical Surface and Application to Spin Polarized Scanning Tunneling Microscope Probe |
title_full_unstemmed |
Theory for Spin Selective Andreev Reflection in Vortex Core of Topological Superconductor: Majorana Zero Modes on Spherical Surface and Application to Spin Polarized Scanning Tunneling Microscope Probe |
title_sort |
theory for spin selective andreev reflection in vortex core of topological superconductor: majorana zero modes on spherical surface and application to spin polarized scanning tunneling microscope probe |
publisher |
arXiv |
publishDate |
2016 |
url |
https://dx.doi.org/10.48550/arxiv.1607.03449 https://arxiv.org/abs/1607.03449 |
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South Pole North Pole |
geographic_facet |
South Pole North Pole |
genre |
North Pole South pole |
genre_facet |
North Pole South pole |
op_relation |
https://dx.doi.org/10.1103/physrevb.94.224501 |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1607.03449 https://doi.org/10.1103/physrevb.94.224501 |
_version_ |
1766140553700835328 |