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| Format: | Preprint |
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2024
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| Online-Zugang: | https://arxiv.org/abs/2404.18131 |
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| _version_ | 1866911955406553088 |
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| author | Cuy, Fabian G. Medina Buccheri, Francesco Dolcini, Fabrizio |
| author_facet | Cuy, Fabian G. Medina Buccheri, Francesco Dolcini, Fabrizio |
| contents | A current flowing through a superconductor induces a spatial modulation in its superconducting order parameter, characterized by a wavevector $Q$ related to the total momentum of a Cooper pair. Here we investigate this phenomenon in a $p$-wave topological superconductor, described by a one-dimensional Kitaev model. We demonstrate that, by treating $Q$ as an extra synthetic dimension, the current carrying non-equilibrium steady state can be mapped into the ground state of a half-filled two-dimensional Weyl semimetal, whose Fermi surface exhibits Lifshitz transitions when varying the model parameters. Specifically, the transition from Type-I to Type-II Weyl phases corresponds to the emergence of a gapless $p$-wave superconductor, where Cooper pairs coexist with unpaired electrons and holes. Such transition is signaled by the appearance of a sharp cusp in the $Q$-dependence of the supercurrent, at a critical value $Q^*$ that is robust to variations of the chemical potential $μ$. We determine the maximal current that the system can sustain in the topological phase, and discuss possible implementations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18131 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lifshitz transitions and Weyl semimetals from a topological superconductor with supercurrent flow Cuy, Fabian G. Medina Buccheri, Francesco Dolcini, Fabrizio Mesoscale and Nanoscale Physics Superconductivity A current flowing through a superconductor induces a spatial modulation in its superconducting order parameter, characterized by a wavevector $Q$ related to the total momentum of a Cooper pair. Here we investigate this phenomenon in a $p$-wave topological superconductor, described by a one-dimensional Kitaev model. We demonstrate that, by treating $Q$ as an extra synthetic dimension, the current carrying non-equilibrium steady state can be mapped into the ground state of a half-filled two-dimensional Weyl semimetal, whose Fermi surface exhibits Lifshitz transitions when varying the model parameters. Specifically, the transition from Type-I to Type-II Weyl phases corresponds to the emergence of a gapless $p$-wave superconductor, where Cooper pairs coexist with unpaired electrons and holes. Such transition is signaled by the appearance of a sharp cusp in the $Q$-dependence of the supercurrent, at a critical value $Q^*$ that is robust to variations of the chemical potential $μ$. We determine the maximal current that the system can sustain in the topological phase, and discuss possible implementations. |
| title | Lifshitz transitions and Weyl semimetals from a topological superconductor with supercurrent flow |
| topic | Mesoscale and Nanoscale Physics Superconductivity |
| url | https://arxiv.org/abs/2404.18131 |