Formation of Fermi surfaces and the appearance of liquid phases in holographic theories with hyperscaling violation

Abstract

We consider a holographic fermionic system in which the fermions are interacting with a U(1) gauge field in the presence of a dilaton field in a gravity bulk of a charged black hole with hyperscaling violation. Using both analytical and numerical methods, we investigate the properties of the infrared and ultaviolet Green's functions of the holographic fermionic system. Studying the spectral functions of the system, we find that as the hyperscaling violation exponent is varied, the fermionic system possesses Fermi, non-Fermi, marginal-Fermi and log-oscillating liquid phases. Various liquid phases of the fermionic system with hyperscaling violation are also generated with the variation of the fermionic mass. We also explore the properties of the flat band and the Fermi surface of the non-relativistic fermionic fixed point dual to the hyperscaling violation gravity.

DC conductivity with external magnetic field in hyperscaling violating geometry

“…This geometry was first introduced by [19] and found wide range of application in analyzing thermodynamical and hydrodynamical aspects of strongly coupled systems [20][21][22][23][24][25][26][27][28]. Generalized system with warped metric is also used for the detailed studies of realistic condensed matter system [29][30][31][32][33][34][35][36].…”

Revisiting holographic superconductors with hyperscaling violation

“…Besides the anisotropic (Lifshitz) scaling is characterized by the dynamic critical exponent z > 1 [40], the hyperscaling violation can also be used to describe holographically the realistic condensed matter systems with scaling properties going beyond the standard Lorentz scaling at criticality [41,42]. So it seems to be an interesting study to explore the effect of the hyperscaling violation on the holographic superconductors.…”

Holographic fermionic spectrum from Born–Infeld AdS black hole

“…Furthermore, they find that this scaling behavior is controlled by conformal dimensions in the IR CFT dual to AdS 2 [4]. Subsequently, a lot of extensive explorations on the Fermi surface structure and associated excitations have also been implemented in more general geometries in [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and references therein. These holographic fermionic systems are expected to be candidates for generalized non-Fermi liquids and offer a possible clue to uncover the basic principle hidden behind the strangle metal phase.…”