Holographic interaction effects on transport in Dirac semimetals

Abstract

Strongly interacting Dirac semimetals are investigated using a holographic model especially geared to compute the single-particle correlation function for this case, including both interaction effects and nonzero temperature. We calculate the (homogeneous) electrical conductivity at zero chemical potential, and show that it consists of two contributions. The interband contribution scales as a power law either in frequency or in temperature for low frequency. The precise power is related to a critical exponent of the dual holographic theory, which is a parameter in the model. On top of that we find for nonzero temperatures a Drude peak corresponding to intraband transitions. A behavior similar to Coulomb interactions is recovered as a special limiting case.

Published version, with additional discussion on inter- and intraband contributions and Drude peak. 7 pages, 5 figures

References in corpus (5)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Lectures on Holographic Superfluidity and Superconductivity
• Real-time response in AdS/CFT with application to spinors
• The gravity dual to a quantum critical point with spontaneous symmetry breaking

Cited by in corpus (11)

• The holographic Weyl semi-metal
• Quantum phase transition between a topological and a trivial semimetal from holography
• Electromagnetic response of interacting Weyl semimetals
• AC conductivity for a holographic Weyl Semimetal
• Electric conductivity with the magnetic field and the chiral anomaly in a holographic QCD model
• Screening of Coulomb interactions in Holography
• Massive Dirac fermions from holography
• Taking a critical look at holographic critical matter
• Demystifying the Holographic Mystique
• Towards a field-theory interpretation of bottom-up holography
• Holographic Topological Semimetals