Nonlocal Cooper pairs in finite topological superconductors and their relation to Majorana nonlocality
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866914513179115520 |
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| author | Mizoguchi, Hiroto Nagae, Yutaro Asano, Yasuhiro Ikegaya, Satoshi |
| author_facet | Mizoguchi, Hiroto Nagae, Yutaro Asano, Yasuhiro Ikegaya, Satoshi |
| contents | We identify two fundamental properties of the Gor'kov Green's function of finite one-dimensional topological superconductors. In the low-frequency (low-energy) regime, the normal and anomalous Green's functions, which describe single-particle and Cooper-pair correlations, respectively, become identical up to a phase factor. Moreover, they exhibit pronounced nonlocality: correlations between the two ends of the system grow exponentially with system length, whereas local correlations at either end vanish in the zero-frequency limit. These striking features signify the emergence of unconventional nonlocal Cooper pairs associated with a nonlocal fermionic mode composed of hybridized Majorana end modes. The nonlocal Cooper pairs are directly linked to fermion parity and to the nonlocal transport properties of finite topological superconductors. By focusing on pair correlations, our analysis advances the understanding of Majorana nonlocality, a key concept in topological quantum computation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_25169 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nonlocal Cooper pairs in finite topological superconductors and their relation to Majorana nonlocality Mizoguchi, Hiroto Nagae, Yutaro Asano, Yasuhiro Ikegaya, Satoshi Superconductivity We identify two fundamental properties of the Gor'kov Green's function of finite one-dimensional topological superconductors. In the low-frequency (low-energy) regime, the normal and anomalous Green's functions, which describe single-particle and Cooper-pair correlations, respectively, become identical up to a phase factor. Moreover, they exhibit pronounced nonlocality: correlations between the two ends of the system grow exponentially with system length, whereas local correlations at either end vanish in the zero-frequency limit. These striking features signify the emergence of unconventional nonlocal Cooper pairs associated with a nonlocal fermionic mode composed of hybridized Majorana end modes. The nonlocal Cooper pairs are directly linked to fermion parity and to the nonlocal transport properties of finite topological superconductors. By focusing on pair correlations, our analysis advances the understanding of Majorana nonlocality, a key concept in topological quantum computation. |
| title | Nonlocal Cooper pairs in finite topological superconductors and their relation to Majorana nonlocality |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2604.25169 |