Majorana edge modes in number-conserving models with long-range interactions
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916925918937088 |
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| author | Thomas-Markarian, Jaden Agarwal, Kartiek Martin, Ivar |
| author_facet | Thomas-Markarian, Jaden Agarwal, Kartiek Martin, Ivar |
| contents | Topological superconductors are believed to host exotic quasiparticle excitations known as Majorana zero-modes, with much of the evidence based on BCS mean-field theory. The direct application of mean-field arguments is tenuous in finite, isolated systems relevant in some experiments. Here, we numerically study fermion number-conserving models with long-range interactions, which under periodic boundary conditions exhibit robust topological and non-topological superconductivity, tuned by the strength of interaction [1]. We find evidence that, on the topological side, Majorana edge modes appear in open chains, manifesting as the vanishing of the energy splitting between odd- and even-parity ground states with increasing system size. Additionally, off-diagonal two-point correlation functions show nonlocal, parity-dependent edge effects consistent with Majorana phenomenology. We develop a correlation-based method revealing the spatial structure of Majorana modes in this fully interacting many-body setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00158 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Majorana edge modes in number-conserving models with long-range interactions Thomas-Markarian, Jaden Agarwal, Kartiek Martin, Ivar Strongly Correlated Electrons Superconductivity Topological superconductors are believed to host exotic quasiparticle excitations known as Majorana zero-modes, with much of the evidence based on BCS mean-field theory. The direct application of mean-field arguments is tenuous in finite, isolated systems relevant in some experiments. Here, we numerically study fermion number-conserving models with long-range interactions, which under periodic boundary conditions exhibit robust topological and non-topological superconductivity, tuned by the strength of interaction [1]. We find evidence that, on the topological side, Majorana edge modes appear in open chains, manifesting as the vanishing of the energy splitting between odd- and even-parity ground states with increasing system size. Additionally, off-diagonal two-point correlation functions show nonlocal, parity-dependent edge effects consistent with Majorana phenomenology. We develop a correlation-based method revealing the spatial structure of Majorana modes in this fully interacting many-body setting. |
| title | Majorana edge modes in number-conserving models with long-range interactions |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2509.00158 |