Holographic description of an anisotropic Dirac semimetal

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...

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Main Authors: Sebastián Bahamondes, Ignacio Salazar Landea, Rodrigo Soto-Garrido
Format: Article
Language:English
Published: SpringerOpen 2024-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP09(2024)080
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author Sebastián Bahamondes
Ignacio Salazar Landea
Rodrigo Soto-Garrido
author_facet Sebastián Bahamondes
Ignacio Salazar Landea
Rodrigo Soto-Garrido
author_sort Sebastián Bahamondes
collection DOAJ
description 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 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.
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series Journal of High Energy Physics
spelling doaj-art-c77ff62b3d0e4812a953c4b16a302ae72025-08-20T02:30:58ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024911910.1007/JHEP09(2024)080Holographic description of an anisotropic Dirac semimetalSebastián Bahamondes0Ignacio Salazar Landea1Rodrigo Soto-Garrido2Facultad de Física, Pontificia Universidad Católica de ChileInstituto de Física de La Plata — CONICETFacultad de Física, Pontificia Universidad Católica de ChileAbstract 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.https://doi.org/10.1007/JHEP09(2024)080Holography and Condensed Matter Physics (AdS/CMT)AdS-CFT Correspondence
spellingShingle Sebastián Bahamondes
Ignacio Salazar Landea
Rodrigo Soto-Garrido
Holographic description of an anisotropic Dirac semimetal
Journal of High Energy Physics
Holography and Condensed Matter Physics (AdS/CMT)
AdS-CFT Correspondence
title Holographic description of an anisotropic Dirac semimetal
title_full Holographic description of an anisotropic Dirac semimetal
title_fullStr Holographic description of an anisotropic Dirac semimetal
title_full_unstemmed Holographic description of an anisotropic Dirac semimetal
title_short Holographic description of an anisotropic Dirac semimetal
title_sort holographic description of an anisotropic dirac semimetal
topic Holography and Condensed Matter Physics (AdS/CMT)
AdS-CFT Correspondence
url https://doi.org/10.1007/JHEP09(2024)080
work_keys_str_mv AT sebastianbahamondes holographicdescriptionofananisotropicdiracsemimetal
AT ignaciosalazarlandea holographicdescriptionofananisotropicdiracsemimetal
AT rodrigosotogarrido holographicdescriptionofananisotropicdiracsemimetal