Holographic description of an anisotropic Dirac semimetal

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Hauptverfasser: Bahamondes, Sebastián, Landea, Ignacio Salazar, Soto-Garrido, Rodrigo
Format: Preprint
Veröffentlicht: 2024
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author Bahamondes, Sebastián
Landea, Ignacio Salazar
Soto-Garrido, Rodrigo
author_facet Bahamondes, Sebastián
Landea, Ignacio Salazar
Soto-Garrido, Rodrigo
contents 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 phase transition. 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 different values of the relevant coupling constants is obtained. The different phases are characterized by distinct dispersion relations for probe fermionic modes in the AdS geometry. We find semi-metallic phases characterized by the presence of Dirac cones and 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_00156
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Holographic description of an anisotropic Dirac semimetal
Bahamondes, Sebastián
Landea, Ignacio Salazar
Soto-Garrido, Rodrigo
High Energy Physics - Theory
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
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 phase transition. 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 different values of the relevant coupling constants is obtained. The different phases are characterized by distinct dispersion relations for probe fermionic modes in the AdS geometry. We find semi-metallic phases characterized by the presence of Dirac cones and 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.
title Holographic description of an anisotropic Dirac semimetal
topic High Energy Physics - Theory
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2406.00156