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| Main Authors: | , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.14503 |
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| _version_ | 1866915702167830528 |
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| author | Hassani, Mojtaba Faraei, Zahra |
| author_facet | Hassani, Mojtaba Faraei, Zahra |
| contents | Topological superconductors host gapless surface states that fundamentally alter their electromagnetic response through the axion field term $θ\vec{E}\cdot\vec{B}$, arising from the topological magnetoelectric effect. In this work, we investigate the electromagnetic properties of a three-dimensional topological Weyl superconductor by leveraging its theoretical mapping to a four-dimensional topological insulator with s-wave superconducting boundaries. By incorporating the tilt of Weyl cones into this model, we demonstrate that the tilt vector $\vecζ$ anisotropically modifies the axion field profile near the surface, leading to a tilt-enhanced Meissner effect and anomalous magnetic penetration depths. We show that the magnetic field component perpendicular to the tilt direction exhibits a non-exponential, hypergeometric decay dictated by the interplay between the axion term and $\vecζ$, while the parallel component remains largely tilt-insensitive--a hallmark of axion-mediated anisotropy absent in trivial superconductors. Remarkably, all tilt-dependent electromagnetic responses follow a universal scaling law, revealing a fundamental symmetry in the system's behavior. Furthermore, we predict a tilt-dependent planar Hall current at the surface, directly tied to the topological surface states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14503 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Interplay of Tilt and Axion Fields in Topological Superconductors: Anisotropy in the Meissner Effect Hassani, Mojtaba Faraei, Zahra Superconductivity Topological superconductors host gapless surface states that fundamentally alter their electromagnetic response through the axion field term $θ\vec{E}\cdot\vec{B}$, arising from the topological magnetoelectric effect. In this work, we investigate the electromagnetic properties of a three-dimensional topological Weyl superconductor by leveraging its theoretical mapping to a four-dimensional topological insulator with s-wave superconducting boundaries. By incorporating the tilt of Weyl cones into this model, we demonstrate that the tilt vector $\vecζ$ anisotropically modifies the axion field profile near the surface, leading to a tilt-enhanced Meissner effect and anomalous magnetic penetration depths. We show that the magnetic field component perpendicular to the tilt direction exhibits a non-exponential, hypergeometric decay dictated by the interplay between the axion term and $\vecζ$, while the parallel component remains largely tilt-insensitive--a hallmark of axion-mediated anisotropy absent in trivial superconductors. Remarkably, all tilt-dependent electromagnetic responses follow a universal scaling law, revealing a fundamental symmetry in the system's behavior. Furthermore, we predict a tilt-dependent planar Hall current at the surface, directly tied to the topological surface states. |
| title | Interplay of Tilt and Axion Fields in Topological Superconductors: Anisotropy in the Meissner Effect |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2410.14503 |