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Striped phases in the holographic insulator/superconductor transition

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Abstract

We study striped phases in holographic insulator/superconductor transition by considering a spatially modulated chemical potential in the AdS soliton background. Generally striped phases can develop above a critical chemical potential. When the constant leading term in the chemical potential is set to zero, a discontinuity is observed in the charge density as function of the chemical potential in the limit of large wave vector. We explain this discontinuity using an analytical approach. When the constant leading term in the chemical potential is present, the critical chemical potential is larger than in the case of a homogeneous chemical potential, which indicates that the spatially modulated chemical potential disfavors the phase transition. This behavior is again confirmed by an analytical approach. We also calculate the grand canonical potential and find that the striped phase is favored.

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Authors and Affiliations

  1. Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805, München, Germany

    Johanna Erdmenger & Da-Wei Pang

  2. Department of Physics, Shanghai University, ShangDa Road 99, Shanghai, 200444, China

    **an-Hui Ge

  3. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Bei**g, 100190, China

    **an-Hui Ge

Authors
  1. Johanna Erdmenger
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  2. **an-Hui Ge
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  3. Da-Wei Pang
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Correspondence to Da-Wei Pang.

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ArXiv ePrint: 1307.4609

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Erdmenger, J., Ge, XH. & Pang, DW. Striped phases in the holographic insulator/superconductor transition. J. High Energ. Phys. 2013, 27 (2013). https://doi.org/10.1007/JHEP11(2013)027

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