Small Fermi Surfaces and Strong Correlation Effects in Dirac Materials with Holography

Abstract

Recent discovery of transport anomaly in graphene demonstrated that a system known to be weakly interacting may become strongly correlated if system parameter(s) can be tuned such that fermi surface is sufficiently small. We study the strong correlation effects in the transport coefficients of Dirac materials doped with magnetic impurity under the magnetic field using holographic method. The experimental data of magneto-conductivity are well fit by our theory, however, not much data are available for other transports of Dirac material in such regime. Therefore, our results on heat transport,thermo-electric power and Nernst coefficients are left as predictions of holographic theory for generic Dirac materials in the vicinity of charge neutral point with possible surface gap. We give detailed look over each magneto-transport observable and 3Dplots to guide future experiments.

32 pages, 24 figures

References in corpus (10)

• Topological Field Theory of Time-Reversal Invariant Insulators
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Weak localisation magnetoresistance and valley symmetry in graphene
• Quantum transport of massless Dirac fermions in graphene
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• Quantum Critical Transport and the Hall Angle
• Phenomenological study of the electronic transport coefficients of graphene
• Holography of the Dirac Fluid in Graphene with two currents