Holographic description of an anisotropic Dirac semimetal
Loading...
Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Holographic quantum matter exploits the AdS/CFT correspondence to study systems in condensed matter physics. An example of these systems are strongly correlated semimetals, which feature a rich phase diagram structure. In this work, we present a holographic model for a Dirac semimetal in 2 + 1 dimensions that features a topological phasetransition. Our construction relies on deforming a relativistic UV fixed point with some relevant operators that explicitly break rotations and some internal symmetries. The phase diagram for diferent values of the relevant coupling constants is obtained. The diferent phases are characterized by distinct dispersion relations for probe fermionic modes in theAdS geometry. We find semi-metallic phases characterized by the presence of Dirac conesand an insulating phase featuring a mass gap with a mild anisotropy. Remarkably, we find as well an anisotropic semi-Dirac phase characterized by a massless a fermionic excitation dispersing linearly in one direction while quadratically in the other.
Description
Keywords
Holography and Condensed Matter Physics (AdS/CMT), AdS-CFT Correspondence