Binding zero modes with fluxons in Josephson junctions of time-reversal invariant topological superconductors
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| Format: | Preprint |
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2024
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| _version_ | 1866909483376050176 |
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| author | Ruiz, Gabriel F. Rodríguez Reich, Adrian Shnirman, Alexander Schmalian, Jörg Arrachea, Liliana |
| author_facet | Ruiz, Gabriel F. Rodríguez Reich, Adrian Shnirman, Alexander Schmalian, Jörg Arrachea, Liliana |
| contents | We study the joint dynamics of the phase bias $ϕ$ and the propagating Majorana fermions of the edge modes in Josephson junctions containing 2D time-reversal invariant topological superconductors (TRITOPS). We consider TRITOPS-TRITOPS junctions, as well as junctions between topological and non-topological superconductors (TRITOPS-S). Both types of junctions are described by effective Dirac Hamiltonians with a $ϕ$-dependent mass. We analyze the effect of the phase fluctuations in the junction, as well as solitonic solutions of $ϕ$ generated by fluxons trapped in the junction. We show that these solitons generate a spatial-dependent mass with a sign change akin to the Jackiw-Rebbi model. This enables the formation of zero-energy fermionic states localized at the fluxon. For the TRITOPS-TRITOPS junction these consist of a Kramers pair of Majorana modes, while for the TRITOPS-S one, there is a single Majorana fermion. The localized bound states hybridize in soliton-antisoliton configurations. Depending on the occupation state, these modes generate an effective attraction or repulsion in the dynamics of the soliton-antisoliton collision. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_14277 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Binding zero modes with fluxons in Josephson junctions of time-reversal invariant topological superconductors Ruiz, Gabriel F. Rodríguez Reich, Adrian Shnirman, Alexander Schmalian, Jörg Arrachea, Liliana Superconductivity Mesoscale and Nanoscale Physics We study the joint dynamics of the phase bias $ϕ$ and the propagating Majorana fermions of the edge modes in Josephson junctions containing 2D time-reversal invariant topological superconductors (TRITOPS). We consider TRITOPS-TRITOPS junctions, as well as junctions between topological and non-topological superconductors (TRITOPS-S). Both types of junctions are described by effective Dirac Hamiltonians with a $ϕ$-dependent mass. We analyze the effect of the phase fluctuations in the junction, as well as solitonic solutions of $ϕ$ generated by fluxons trapped in the junction. We show that these solitons generate a spatial-dependent mass with a sign change akin to the Jackiw-Rebbi model. This enables the formation of zero-energy fermionic states localized at the fluxon. For the TRITOPS-TRITOPS junction these consist of a Kramers pair of Majorana modes, while for the TRITOPS-S one, there is a single Majorana fermion. The localized bound states hybridize in soliton-antisoliton configurations. Depending on the occupation state, these modes generate an effective attraction or repulsion in the dynamics of the soliton-antisoliton collision. |
| title | Binding zero modes with fluxons in Josephson junctions of time-reversal invariant topological superconductors |
| topic | Superconductivity Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2403.14277 |