Spin-resolved transport physics induced by a Majorana-fermion zero mode
By using the Hubbard operator Green’s function method, the spin-resolved transport properties of a quantum dot coupled to metallic leads and side-coupled to a topological superconductor wire hosting Majorana bound states (MBSs) are studied theoretically. Compared with the second quantization represe...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2019-12-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.5132904 |
| _version_ | 1818116747183521792 |
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| author | Pengbin Niu Lixiang Liu Xiaoqiang Su Lijuan Dong Yunlong Shi Hong-Gang Luo |
| author_facet | Pengbin Niu Lixiang Liu Xiaoqiang Su Lijuan Dong Yunlong Shi Hong-Gang Luo |
| author_sort | Pengbin Niu |
| collection | DOAJ |
| description | By using the Hubbard operator Green’s function method, the spin-resolved transport properties of a quantum dot coupled to metallic leads and side-coupled to a topological superconductor wire hosting Majorana bound states (MBSs) are studied theoretically. Compared with the second quantization representation, the method can lead us to an analytical result for the retarded Green’s function with finite U. The spin-related current and conductance are discussed. In the case of zero Coulomb interaction and on-resonance, the MBS’s 1/2 signature is recovered, and furthermore, there exists a 1/2 negative differential spin conductance. In the case of infinite Coulomb interaction, the 1/2 signature does not survive due to the Coulomb correlation reducing the current and conductance. Also due to this correlation, the MBS-induced symmetry of conductance peaks around zero energy is destroyed. In addition to this, we find that there are two MBS-induced negative differential spin conductance peaks. Theoretically, our work is supplementary and contrastive to the mainstream second quantization method, and these spin-resolved results may be observed in future experiments. |
| first_indexed | 2024-12-11T04:27:25Z |
| format | Article |
| id | doaj.art-dcc311b548c443ce9a92f6138e443fa1 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-11T04:27:25Z |
| publishDate | 2019-12-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-dcc311b548c443ce9a92f6138e443fa12022-12-22T01:20:57ZengAIP Publishing LLCAIP Advances2158-32262019-12-01912125115125115-810.1063/1.5132904Spin-resolved transport physics induced by a Majorana-fermion zero modePengbin Niu0Lixiang Liu1Xiaoqiang Su2Lijuan Dong3Yunlong Shi4Hong-Gang Luo5Institute of Solid State Physics and Department of Physics, Shanxi Datong University, Datong 037009, ChinaInstitute of Solid State Physics and Department of Physics, Shanxi Datong University, Datong 037009, ChinaInstitute of Solid State Physics and Department of Physics, Shanxi Datong University, Datong 037009, ChinaInstitute of Solid State Physics and Department of Physics, Shanxi Datong University, Datong 037009, ChinaInstitute of Solid State Physics and Department of Physics, Shanxi Datong University, Datong 037009, ChinaCenter for Interdisciplinary Studies and Key Laboratory for Magnetism and Magnetic Materials of the MoE, Lanzhou University, Lanzhou 730000, China and Beijing Computational Science Research Center, Beijing 100084, ChinaBy using the Hubbard operator Green’s function method, the spin-resolved transport properties of a quantum dot coupled to metallic leads and side-coupled to a topological superconductor wire hosting Majorana bound states (MBSs) are studied theoretically. Compared with the second quantization representation, the method can lead us to an analytical result for the retarded Green’s function with finite U. The spin-related current and conductance are discussed. In the case of zero Coulomb interaction and on-resonance, the MBS’s 1/2 signature is recovered, and furthermore, there exists a 1/2 negative differential spin conductance. In the case of infinite Coulomb interaction, the 1/2 signature does not survive due to the Coulomb correlation reducing the current and conductance. Also due to this correlation, the MBS-induced symmetry of conductance peaks around zero energy is destroyed. In addition to this, we find that there are two MBS-induced negative differential spin conductance peaks. Theoretically, our work is supplementary and contrastive to the mainstream second quantization method, and these spin-resolved results may be observed in future experiments.http://dx.doi.org/10.1063/1.5132904 |
| spellingShingle | Pengbin Niu Lixiang Liu Xiaoqiang Su Lijuan Dong Yunlong Shi Hong-Gang Luo Spin-resolved transport physics induced by a Majorana-fermion zero mode AIP Advances |
| title | Spin-resolved transport physics induced by a Majorana-fermion zero mode |
| title_full | Spin-resolved transport physics induced by a Majorana-fermion zero mode |
| title_fullStr | Spin-resolved transport physics induced by a Majorana-fermion zero mode |
| title_full_unstemmed | Spin-resolved transport physics induced by a Majorana-fermion zero mode |
| title_short | Spin-resolved transport physics induced by a Majorana-fermion zero mode |
| title_sort | spin resolved transport physics induced by a majorana fermion zero mode |
| url | http://dx.doi.org/10.1063/1.5132904 |
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