Self-consistent surface superconductivity in time-reversal symmetric Weyl semimetals
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908532323909632 |
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| author | Trama, Mattia Könye, Viktor Fulga, Ion Cosma Brink, Jeroen van den |
| author_facet | Trama, Mattia Könye, Viktor Fulga, Ion Cosma Brink, Jeroen van den |
| contents | Weyl semimetals host topologically protected surface states, the so-called Fermi arcs, that have a penetration depth into the bulk that depends on surface-momentum, and diverges at the Weyl points. It has recently been observed in PtBi$_2$ that such Fermi arc states can become superconducting, with a critical temperature larger than that of the bulk. Here we introduce a general variational method that captures the interplay between surface and bulk superconductivity, for any bulk Hamiltonian that harbors (topological) surface states with varying penetration depth. From the self-consistent solutions we establish that the surface state localization length of Weyl semimetals leads to characteristic features in the surface superconductivity, with a gap depending on surface momentum and a penetration length for the order parameter that is temperature-dependent due to competition with the bulk superconductivity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05381 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Self-consistent surface superconductivity in time-reversal symmetric Weyl semimetals Trama, Mattia Könye, Viktor Fulga, Ion Cosma Brink, Jeroen van den Superconductivity Mesoscale and Nanoscale Physics Weyl semimetals host topologically protected surface states, the so-called Fermi arcs, that have a penetration depth into the bulk that depends on surface-momentum, and diverges at the Weyl points. It has recently been observed in PtBi$_2$ that such Fermi arc states can become superconducting, with a critical temperature larger than that of the bulk. Here we introduce a general variational method that captures the interplay between surface and bulk superconductivity, for any bulk Hamiltonian that harbors (topological) surface states with varying penetration depth. From the self-consistent solutions we establish that the surface state localization length of Weyl semimetals leads to characteristic features in the surface superconductivity, with a gap depending on surface momentum and a penetration length for the order parameter that is temperature-dependent due to competition with the bulk superconductivity. |
| title | Self-consistent surface superconductivity in time-reversal symmetric Weyl semimetals |
| topic | Superconductivity Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2410.05381 |