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Vortex in Holographic Two-band Superconductor

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Abstract

A single static vortex in a holographic two-band superconductor is constructed. We investigate the effect of the interband coupling to the condensate profile. We estimate the first critical magnetic field, and compute characteristic lengths like penetration and coherence lengths and conclude both bands in our superconductor behave type II.

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Notes

  1. The expansions of φ i are only valid with small 𝜖 and η, i.e., \(\epsilon , \eta \ll {m_{i}^{2}}\), since the terms with 𝜖 and η have the same scaling 1/z 2 as those with \({m_{i}^{2}}\).

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Acknowledgments

The author would like to thank the hospitality of conference “Superstripe 2015” and responses from the participants in the conference. This work is supported by the Ministry of Science and Technology in Taiwan in grant of MOST 104-2914-I-009-021-A1.

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Correspondence to Shang-Yu Wu.

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Wu, SY. Vortex in Holographic Two-band Superconductor. J Supercond Nov Magn 29, 593–596 (2016). https://doi.org/10.1007/s10948-015-3307-z

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