Small Fermi Surfaces and Strong Correlation Effects in Dirac Materials with Holography
arXiv:1708.02257 · doi:10.1007/JHEP10(2017)204
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 (31)
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Topological Insulators
- Topological insulators and superconductors
- Gauge Theory Correlators from Non-Critical String Theory
- The Large N Limit of Superconformal Field Theories and Supergravity
- Topological Field Theory of Time-Reversal Invariant Insulators
- Quantized Anomalous Hall Effect in Magnetic Topological Insulators
- Weak localisation magnetoresistance and valley symmetry in graphene
- Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
- Quantum transport of massless Dirac fermions in graphene
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- The Nernst effect in high- superconductors
- Probing Neutral Majorana Fermion Edge Modes with Charge Transport
- A simple holographic model of momentum relaxation
- Crossover between weak localization and weak antilocalization in magnetically doped topological insulator
- Competition between weak localization and antilocalization in topological surface states
- Universal Resistivity from Holographic Massive Gravity
- Holographic Lattices Give the Graviton a Mass
- Enhanced Thermoelectric Power in Graphene: Violation of the Mott Relation By Inelastic Scattering
- Thermoelectric DC conductivities from black hole horizons
- Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
- Interplay between ferromagnetism, surface states, and quantum corrections in a magnetically doped topological insulator
- Quantum Critical Transport and the Hall Angle
- Phenomenological study of the electronic transport coefficients of graphene
- Two New Vortex Liquids
- Magnetothermoelectric Response from Holography
- Holography of the Dirac Fluid in Graphene with two currents
- Strong Correlation Effects on Surfaces of Topological Insulators via Holography
- Character of Matter in Holography: Spin-Orbit Interaction
- Magnetic-field induced superconductor-metal-insulator transitions in bismuth metal-graphite
- Non-spherical collapse in AdS and Early Thermalization in RHIC
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- Holographic model for the anomalous scalings of the cuprates
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- Mott transition with Holographic Spectral function
- Ginzberg-Landau-Wilson theory for Flat band, Fermi-arc and surface states of strongly correlated systems
- Impurity-doped scalar fields in arbitrary dimensions
- New black holes with hyperscaling violation and transports of quantum critical points with magnetic impurity
- Determination of Dynamical exponents of Graphene at quantum critical point by holography
- Mean field theory for strongly coupled systems: Holographic approach
- Interaction induced quasi-particle spectrum and the origin of the pinning peak in holography
- Impurity Effect on Hysteric Magnetoconductance: Holographic Approach