Holographic fermionic spectrum from Born–Infeld AdS black hole

Abstract

In this letter, we systematically explore the holographic (non-)relativistic fermionic spectrum without/with dipole coupling dual to Born-Infeld anti-de Sitter (BI-AdS) black hole. For the relativistic fermionic fixed point, this holographic fermionic system exhibits non-Fermi liquid behavior. Also, with the increase of BI parameter γ, the non-Fermi liquid becomes even "more non-Fermi".When the dipole coupling term is included, we find that the BI term makes it a lot tougher to form the gap. While for the non-relativistic fermionic system with large dipole coupling in BI-AdS background, with the increase of BI parameter, the gap comes into being against.

Holographic fermionic spectrum with Weyl correction

“…Such nonlinearity is also observed in the dispersion relation. The observations are similar with that found fermionic spectrum in BI-AdS black hole [11] and further confirm that such nonlinearity exhibited in the fermionic spectrum originates from the one of the Maxwell field.…”

“…Furthermore, we show ImG 22 as a function of k at ω = 0 for sample Weyl parameter γ (right plot in FIG.2). It exhibits a nonlinearity of the height of peak with the variety of γ, which is similar with that found in fermionic spectrum in BI-AdS black hole [11] but different from that found in other higher curvature correction to Einstein gravity, for instance, the Gauss-Bonnet case [8]. As have pointed out in [11], such nonlinearity may be ascribe to the one of the Maxwell field.…”

“…It exhibits a nonlinearity of the height of peak with the variety of γ, which is similar with that found in fermionic spectrum in BI-AdS black hole [11] but different from that found in other higher curvature correction to Einstein gravity, for instance, the Gauss-Bonnet case [8]. As have pointed out in [11], such nonlinearity may be ascribe to the one of the Maxwell field. This nonlinearity also reflects in the dispersion relation, which is non-monotonous change with γ (Table I and the left plot in FIG.3).…”

“…In particular, such scaling behavior is controlled by conformal dimensions in the IR CFT dual to the near horizon AdS 2 geometry [6]. Subsequently, many extensive works on the holographic fermionic spectrum, especially the Fermi surface structure and associated excitations, have also been studied in more general charged black brane geometries (see [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] and references therein). They provide more richer Fermi surface structure and can be the candidates for generalized non-Fermi liquids.…”

Effect of quintessence on holographic fermionic spectrum

“…This indicates that the doped Mott phase is mimicked in the holographic framework. The proposal has inspired further study of the dipole coupling effect on the holographic fermionic systems [28][29][30][31][32][33][34][35][36][37][38]. Moreover, the fermionic spectral function without translational symmetry has been disclosed in [39][40][41][42][43].…”