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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.11780 |
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| _version_ | 1866912760356405248 |
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| author | Kniazev, Matvei S. Stepanov, Nikolai A. Skvortsov, Mikhail A. |
| author_facet | Kniazev, Matvei S. Stepanov, Nikolai A. Skvortsov, Mikhail A. |
| contents | We investigate the statistical properties of the vortex pinning potential in a thin superconducting film. Modeling intrinsic inhomogeneities by a random-temperature Ginzburg-Landau functional with short-range Gaussian disorder, we derive the pinning landscape $E(\mathbf{R})$ by determining how the vortex core adapts to randomness. Within the hard-core approximation, applicable for weak disorder, the energy landscape exhibits Gaussian statistics. In this regime, the mean areal density of its minima is given by $n_\text{min}\approx(6ξ)^{-2}$, indicating that the typical spacing between neighboring minima is significantly larger than the vortex core size $ξ$. Going beyond the hard-core approximation, we allow the vortex order parameter to relax in response to the inhomogeneities. As a result, the pinning potential statistics become non-Gaussian. We calculate the leading correction due to the core deformation, which reduces the density of minima with a relative magnitude scaling as $(T_c-T)^{-1/2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11780 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Statistics of the vortex pinning potential in superconducting films Kniazev, Matvei S. Stepanov, Nikolai A. Skvortsov, Mikhail A. Superconductivity We investigate the statistical properties of the vortex pinning potential in a thin superconducting film. Modeling intrinsic inhomogeneities by a random-temperature Ginzburg-Landau functional with short-range Gaussian disorder, we derive the pinning landscape $E(\mathbf{R})$ by determining how the vortex core adapts to randomness. Within the hard-core approximation, applicable for weak disorder, the energy landscape exhibits Gaussian statistics. In this regime, the mean areal density of its minima is given by $n_\text{min}\approx(6ξ)^{-2}$, indicating that the typical spacing between neighboring minima is significantly larger than the vortex core size $ξ$. Going beyond the hard-core approximation, we allow the vortex order parameter to relax in response to the inhomogeneities. As a result, the pinning potential statistics become non-Gaussian. We calculate the leading correction due to the core deformation, which reduces the density of minima with a relative magnitude scaling as $(T_c-T)^{-1/2}$. |
| title | Statistics of the vortex pinning potential in superconducting films |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2512.11780 |