Holographic fermionic liquid with lattices

• DOI: 10.1007/jhep07(2013)045
• Publication Date: 2013-07-08T16:33:19Z
• Authors: Yi Ling; Chao Niu; Jian-Pin Wu; Zhuo-Yu Xian; Hongbao Zhang
• Keywords: High Energy Physics - Theory; High Energy Physics - Theory (hep-th); 0103 physical sciences; FOS: Physical sciences; physics; 01 natural sciences

19 pages, 8 figures, 3 tables, references added, published version<br/>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.<br/>