Holographic Fermionic Liquid with Lattices

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.

19 pages, 8 figures, 3 tables, references added, published version

References in corpus (5)

• Further Evidence for Lattice-Induced Scaling
• General Relativity and the Cuprates
• Holographic Fermi arcs and a d-wave gap
• A Striped Holographic Superconductor
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