2013/04/30 by Yi Ling, Chao Niu, Jian-Pin Wu +4 · 61 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brillouin zone #Condensed matter physics #Cosmology and Gravitation Theories #Fermi surface #Fermion #Geometry #Lattice (music) #Mathematics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar field #hep-th
paper · pdf · doi:10.1007/jhep07(2013)045
published in Journal of High Energy Physics 2013(7) (Springer Nature) · 19 pages, 8 figures, 3 tables, references added, published version
openalex publication_date 2013/07/01 · arxiv created 2013/08/02 · arxiv updated 2013/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.