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Holographic fermionic liquid with lattices

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Abstract

We investigate the holographic fermions over a gravitational lattice background with a rather low temperature. Since the rotation symmetry is broken on the plane, the lattice effects change the shape of the Fermi surface within the first Brillouin zone from a circle to an ellipse. When the Fermi surface intersects with the Brillouin zone boundary, the band structure with a band gap is observed through a numerical analysis. We construct a lattice model sourced by a scalar field as well as an ionic lattice model without the scalar field. In both cases we find the similar physical results.

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Authors and Affiliations

  1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, 100049, China

    Yi Ling, Chao Niu & Zhuo-Yu Xian

  2. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China

    Yi Ling

  3. Department of Physics, Hanyang University, Seoul, 133-791, Korea

    Jian-Pin Wu

  4. Center for Quantum Spacetime, Sogang University, Seoul, 121-742, Korea

    Jian-Pin Wu

  5. Department of Physics, School of Mathematics and Physics, Bohai University, Jinzhou, 121013, China

    Jian-Pin Wu

  6. Department of Physics, South China University of Technology, Guangzhou, 510641, China

    Zhuo-Yu Xian

  7. Theoretische Natuurkunde, Vrije Universiteit Brussel, Pleinlaan 2, B-1050, Brussels, Belgium

    Hongbao Zhang

  8. The International Solvay Institutes, Pleinlaan 2, B-1050, Brussels, Belgium

    Hongbao Zhang

Authors
  1. Yi Ling
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  2. Chao Niu
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  3. Jian-Pin Wu
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  4. Zhuo-Yu Xian
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  5. Hongbao Zhang
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Corresponding author

Correspondence to Chao Niu.

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Ling, Y., Niu, C., Wu, JP. et al. Holographic fermionic liquid with lattices. J. High Energ. Phys. 2013, 45 (2013). https://doi.org/10.1007/JHEP07(2013)045

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  • DOI: https://doi.org/10.1007/JHEP07(2013)045

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