Holographic calcualtion of the magneto-transport coefficients in Dirac semimetals

Abstract

Based on the gauge/gravity correspondence we have calculated the thermoelectric kinetic and transport characteristics of the strongly interacting materials in the presence of perpendicular magnetic field. The 3+1 dimensional system with Dirac-like spectrum is considered as a strongly interacting one if it is close to the particle-hole symmetry point. Transport in such system has been modeled by the two interacting vector fields. In the holographic theory the momentum relaxation is caused by axion field and leads to finite values of the direct current transport coefficients. We have calculated conductivity tensor in the presence of mutually perpendicular electric and magnetic fields and temperature gradient. The geometry differs from that in which magnetic field lies in the same plane as an electric one and temperature gradient.

26 pages, 7 figures

References in corpus (18)

• The electronic properties of graphene
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Building an AdS/CFT superconductor
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Experimental signatures of the mixed axial-gravitational anomaly in the Weyl semimetal NbP
• Thermoelectric properties of Weyl and Dirac semimetals
• Topological-Metal to Band-Insulator Transition in (Bi1-xInx)2Se3 Thin Films
• Slow imbalance relaxation and thermoelectric transport in graphene
• Thermoelectric DC conductivities from black hole horizons
• Quantum Critical Transport and the Hall Angle
• Quantum Transport in Topological Semimetals under Magnetic Fields
• Memory matrix theory of magnetotransport in strange metals
• Thermo-electric transport in gauge/gravity models with momentum dissipation
• Holography of the Dirac Fluid in Graphene with two currents
• Thermoelectric DC conductivities with momentum dissipation from higher derivative gravity
• DC Conductivity and Higher Derivative Gravity

Cited by in corpus (8)

• Electric conductivity with the magnetic field and the chiral anomaly in a holographic QCD model
• A smeared quantum phase transition in disordered holography
• Holographic Charged Fluid with Chiral Electric Separation Effect
• Magnetotransport of Weyl semimetals with ${\mathbb{Z}}_2$ topological charge and chiral anomaly
• Conductivity bound of the strongly interacting and disordered graphene from gauge/gravity duality
• Anomalous Hall conductivity of the holographic ${\mathbb{Z}}_2$ Dirac semimetals
• Transport properties of a holographic model with novel gauge-axion coupling
• AC conductivities of a holographic Dirac semimetal