Josephson effect in a junction coupled to an electron reservoir
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917776121135104 |
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| author | Beenakker, C. W. J. |
| author_facet | Beenakker, C. W. J. |
| contents | We extend the scattering theory of the Josephson effect to include a coupling of the Josephson junction to a gapless electron reservoir in the normal state. By opening up the system with a quasiparticle escape rate $1/τ$, the supercurrent carried at zero temperature by an Andreev level at energy $\varepsilon_{\rm A}$ is reduced by a factor $(2/π)\arctan(2\varepsilon_{\rm A}τ/\hbar)$ . We make contact with recent work on "non-Hermitian Josephson junctions", by comparing this result to different proposed generalizations of the Josephson effect to non-Hermitian Hamiltonians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13976 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Josephson effect in a junction coupled to an electron reservoir Beenakker, C. W. J. Superconductivity Mesoscale and Nanoscale Physics We extend the scattering theory of the Josephson effect to include a coupling of the Josephson junction to a gapless electron reservoir in the normal state. By opening up the system with a quasiparticle escape rate $1/τ$, the supercurrent carried at zero temperature by an Andreev level at energy $\varepsilon_{\rm A}$ is reduced by a factor $(2/π)\arctan(2\varepsilon_{\rm A}τ/\hbar)$ . We make contact with recent work on "non-Hermitian Josephson junctions", by comparing this result to different proposed generalizations of the Josephson effect to non-Hermitian Hamiltonians. |
| title | Josephson effect in a junction coupled to an electron reservoir |
| topic | Superconductivity Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2404.13976 |