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arXiv · 1304.2128

Holographic Fermionic Liquid with Lattices

Yi Ling·Chao Niu·Jianpin Wu·Zhuoyu Xian·Hongbao Zhang
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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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Yi Ling, Chao Niu, Jianpin Wu, Zhuoyu Xian, Hongbao Zhang. 2013-08-02. Holographic Fermionic Liquid with Lattices. https://doi.org/10.1007/jhep07(2013)045

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