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d + id holographic superconductors

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Abstract

A holographic model of d+ id superconductors based on the action proposed by Benini, Herzog, and Yarom [arXiv:1006.0731] is studied. This model has a charged spin two field in an AdS black hole spacetime. Working in the probe limit, the normalizable solution of the spin two field in the bulk gives rise to a d+ id superconducting order parameter at the boundary of the AdS. We calculate the fermion spectral function in this superconducting background and confirm the existence of fermi arcs for non-vanishing Majorana couplings. By changing the relative strength γ of the d and id condensations, the position and the size of the fermi arcs are changed. When γ = 1, the spectrum becomes isotropic and the spectral function is s-wave like. By changing the fermion mass, the fermi momentum is changed. We also calculate the conductivity for these holographic d + id superconductors where time reversal symmetry has been broken spontaneously. A non-vanishing Hall conductivity is obtained even without an external magnetic field.

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Authors and Affiliations

  1. Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei, 10617, Taiwan

    Jiunn-Wei Chen, Yu-Sheng Liu & Debaprasad Maity

  2. Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei, 106, Taiwan

    Debaprasad Maity

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  1. Jiunn-Wei Chen
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  2. Yu-Sheng Liu
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Chen, JW., Liu, YS. & Maity, D. d + id holographic superconductors. J. High Energ. Phys. 2011, 32 (2011). https://doi.org/10.1007/JHEP05(2011)032

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