English

Holographic Fermionic Liquid with Lattices

High Energy Physics - Theory 2013-08-05 v2

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.

Keywords

Cite

@article{arxiv.1304.2128,
  title  = {Holographic Fermionic Liquid with Lattices},
  author = {Yi Ling and Chao Niu and Jianpin Wu and Zhuoyu Xian and Hongbao Zhang},
  journal= {arXiv preprint arXiv:1304.2128},
  year   = {2013}
}

Comments

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

R2 v1 2026-06-21T23:55:26.913Z