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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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