AC conductivities of a holographic Dirac semimetal

A bstract We use the AdS/CFT correspondence to compute the AC conductivities for a (2+1)-dimensional system of massless fundamental fermions coupled to (3+1)-dimensional Super Yang-Mills theory at strong coupling. We consider the system at finite charge density, with a constant electric field along...

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Bibliographic Details
Published in:The journal of high energy physics 2018-12, Vol.2018 (12), p.1-28, Article 109
Main Authors: Grignani, Gianluca, Marini, Andrea, Papini, Lorenzo, Pigna, Adriano-Costantino
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Alternating current
Charge density
Classical and Quantum Gravitation
D-branes
Dependence
Electric charge
Electric fields
Elementary Particles
Fermions
High energy physics
Holography and condensed matter physics (AdS/CMT)
Magnetic fields
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Symmetry
Variation
Yang-Mills theory
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Summary:A bstract We use the AdS/CFT correspondence to compute the AC conductivities for a (2+1)-dimensional system of massless fundamental fermions coupled to (3+1)-dimensional Super Yang-Mills theory at strong coupling. We consider the system at finite charge density, with a constant electric field along the defect and an orthogonal magnetic field. The holographic model we employ is the well studied D3/probe-D5-brane system. There are two competing phases in this model: a phase with broken chiral symmetry favored when the magnetic field dominates over the charge density and the electric field and a chirally symmetric phase in the opposite regime. The presence of the electric field induces Ohm and Hall currents, which can be straightforwardly computed by means of the Karch-O’Bannon technique. Studying the fluctuations around the stable configurations in linear response theory, we are able to derive the full frequency dependence of longitudinal and Hall conductivities in all the regions of the phase space.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2018)109