Parity dependent Josephson current through a helical Luttinger liquid
We consider a superconductor–two dimensional topological insulator–superconductor junction and study how the 2 π - and 4 π -periodic Josephson currents are affected by the electron–electron interaction. In the long-junction limit the supercurrent can be evaluated by modeling the system as a helical...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2013-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/15/8/085025 |
| _version_ | 1797751457610465280 |
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| author | S Barbarino R Fazio M Sassetti F Taddei |
| author_facet | S Barbarino R Fazio M Sassetti F Taddei |
| author_sort | S Barbarino |
| collection | DOAJ |
| description | We consider a superconductor–two dimensional topological insulator–superconductor junction and study how the 2 π - and 4 π -periodic Josephson currents are affected by the electron–electron interaction. In the long-junction limit the supercurrent can be evaluated by modeling the system as a helical Luttinger liquid coupled to superconducting reservoirs. After having introduced bosonization in the presence of the parity constraint we turn to consider the limit of perfect and poor interfaces. For transparent interfaces, where perfect Andreev reflections occur at the boundaries, the Josephson current is marginally affected by the interaction. However, if strong magnetic scatterers are present in the weak link, the situation changes dramatically. Here Coulomb interaction plays a crucial role both in low and high temperature regimes. Furthermore, a phase-shift of Josephson current can be induced by changing the direction of the magnetization of the impurity. |
| first_indexed | 2024-03-12T16:48:50Z |
| format | Article |
| id | doaj.art-a37fffeab0ea490fb250b73bab03f798 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:48:50Z |
| publishDate | 2013-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-a37fffeab0ea490fb250b73bab03f7982023-08-08T11:27:03ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115808502510.1088/1367-2630/15/8/085025Parity dependent Josephson current through a helical Luttinger liquidS Barbarino0R Fazio1M Sassetti2F Taddei3NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa, ItalyNEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa, ItalyDipartimento di Fisica, Università di Genova and CNR-SPIN , I-14146 Genova, ItalyNEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa, ItalyWe consider a superconductor–two dimensional topological insulator–superconductor junction and study how the 2 π - and 4 π -periodic Josephson currents are affected by the electron–electron interaction. In the long-junction limit the supercurrent can be evaluated by modeling the system as a helical Luttinger liquid coupled to superconducting reservoirs. After having introduced bosonization in the presence of the parity constraint we turn to consider the limit of perfect and poor interfaces. For transparent interfaces, where perfect Andreev reflections occur at the boundaries, the Josephson current is marginally affected by the interaction. However, if strong magnetic scatterers are present in the weak link, the situation changes dramatically. Here Coulomb interaction plays a crucial role both in low and high temperature regimes. Furthermore, a phase-shift of Josephson current can be induced by changing the direction of the magnetization of the impurity.https://doi.org/10.1088/1367-2630/15/8/085025 |
| spellingShingle | S Barbarino R Fazio M Sassetti F Taddei Parity dependent Josephson current through a helical Luttinger liquid New Journal of Physics |
| title | Parity dependent Josephson current through a helical Luttinger liquid |
| title_full | Parity dependent Josephson current through a helical Luttinger liquid |
| title_fullStr | Parity dependent Josephson current through a helical Luttinger liquid |
| title_full_unstemmed | Parity dependent Josephson current through a helical Luttinger liquid |
| title_short | Parity dependent Josephson current through a helical Luttinger liquid |
| title_sort | parity dependent josephson current through a helical luttinger liquid |
| url | https://doi.org/10.1088/1367-2630/15/8/085025 |
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