Andreev bound states in superconductor-barrier-superconductor junctions of Rarita-Schwinger-Weyl semimetals
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910356766457856 |
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| author | Mandal, Ipsita |
| author_facet | Mandal, Ipsita |
| contents | We consider a superconductor-barrier-superconductor configuration built with Rarita-Schwinger-Weyl semimetal, which features four bands crossing at a single nodal point. Assuming a homogeneous s-wave pairing in each superconducting region, and the barrier region created by applying a voltage of magnitude $V_0 $ across a piece of normal state semimetal, we apply the BdG formalism to compute the discrete energy spectrum $\varepsilon $ of the subgap Andreev bound states in the short-barrier regime. In contrast with the two-band semimetals studied earlier, we find upto four pairs of localized states (rather than one pair for two-band semimetals) in the thin-barrier limit, and each value of $\varepsilon $ has a complicated dependence on the phase difference $φ_{12} $ via cosine and sine functions, which cannot be determined analytically. These are artifacts of multi-band nodes hosting quasiparticles of pseudospin values greater than $1/2$. Using the bound state energies, we compute the Josephson current across the junction configuration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16164 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Andreev bound states in superconductor-barrier-superconductor junctions of Rarita-Schwinger-Weyl semimetals Mandal, Ipsita Superconductivity Mesoscale and Nanoscale Physics High Energy Physics - Theory We consider a superconductor-barrier-superconductor configuration built with Rarita-Schwinger-Weyl semimetal, which features four bands crossing at a single nodal point. Assuming a homogeneous s-wave pairing in each superconducting region, and the barrier region created by applying a voltage of magnitude $V_0 $ across a piece of normal state semimetal, we apply the BdG formalism to compute the discrete energy spectrum $\varepsilon $ of the subgap Andreev bound states in the short-barrier regime. In contrast with the two-band semimetals studied earlier, we find upto four pairs of localized states (rather than one pair for two-band semimetals) in the thin-barrier limit, and each value of $\varepsilon $ has a complicated dependence on the phase difference $φ_{12} $ via cosine and sine functions, which cannot be determined analytically. These are artifacts of multi-band nodes hosting quasiparticles of pseudospin values greater than $1/2$. Using the bound state energies, we compute the Josephson current across the junction configuration. |
| title | Andreev bound states in superconductor-barrier-superconductor junctions of Rarita-Schwinger-Weyl semimetals |
| topic | Superconductivity Mesoscale and Nanoscale Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.16164 |