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Vortical patterns in bulk superconducting systems with mixed pairing orders

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Abstract

Based on a model Hamiltonian including the on-site repulsive interaction among the electrons, we investigate the spatial configurations of mixed spin-triplet (dominant p-wave) and spin-singlet (coexisted s-wave and d-wave) pairing symmetries in bulk superconducting systems by numerically solving the Bogoliubov–de Gennes equations. The influences of the Zeeman field and the next-nearest-neighbor hopping on the order-parameter modulations are mainly discussed. Besides the quantized vortex states with point-like cores, the unclosed vortex chains and enclosed skyrmionic modes can remain stable in the present bulk sample. Furthermore, nonuniform patterns of the vortex lattice and the elliptical-like vortices can be obtained at appropriate applied flux. The corresponding zero-energy local density of states as well as the relative phase differences useful to display the skyrmionic texture are provided

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The results and data presented in this work can be replicated using the numerical procedures described in the text.]

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Acknowledgements

This work was supported by National Natural Science Foundation of China under Grant No. 61771298.

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Authors and Affiliations

  1. Department of Physics and Shanghai Key Laboratory of High Temperature Superconductors, Shanghai University, Shanghai, 200444, China

    Rui-Feng Chai & Guo-Qiao Zha

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  1. Rui-Feng Chai
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  2. Guo-Qiao Zha
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All the authors were involved in the preparation of the manuscript. All the authors have read and approved the final manuscript.

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Correspondence to Guo-Qiao Zha.

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Chai, RF., Zha, GQ. Vortical patterns in bulk superconducting systems with mixed pairing orders. Eur. Phys. J. B 94, 98 (2021). https://doi.org/10.1140/epjb/s10051-021-00104-z

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