Holographic Fermionic Liquid with Lattices
Yi Ling, Chao Niu, Jianpin Wu, Zhuoyu Xian, Hongbao Zhang
TL;DR
This paper explores how lattice effects influence holographic fermions at low temperatures, revealing Fermi surface deformation, band gaps, and consistent results across different lattice models.
Contribution
It introduces a holographic lattice model that demonstrates Fermi surface deformation and band gap formation, advancing understanding of strongly correlated systems.
Findings
Fermi surface shape changes from circle to ellipse due to lattice effects
Band gaps appear when Fermi surface intersects Brillouin zone boundary
Similar physical results obtained in scalar field and ionic lattice models
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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