Quantum critical scaling in graphene

Abstract

We show that the emergent relativistic symmetry of electrons in graphene near its quantum critical point (QCP) implies a crucial importance of the Coulomb interaction. We derive scaling laws, valid near the QCP, that dictate the nontrivial magnetic and charge response of interacting graphene. Our analysis yields numerous predictions for how the Coulomb interaction will be manifested in experimental observables such as the diamagnetic response and electronic compressibility.

4 pages, 2 figures. Published version

References in corpus (9)

• Electric Field Effect in Atomically Thin Carbon Films
• Electronic Properties of Disordered Two-Dimensional Carbon
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Is Graphene a Fermi Liquid?
• Chirality and Correlations in Graphene
• Effect of electron-electron interactions on the conductivity of clean graphene
• Anomalous thermodynamics of Coulomb interacting massless Dirac fermions in two spatial dimensions
• Coulomb interacting Dirac fermions in disordered graphene
• Diamagnetism of nodal fermions

Cited by in corpus (171)

• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Properties of Graphene: A Theoretical Perspective
• Colloquium: The transport properties of graphene: An introduction
• Dirac materials
• Dirac cones reshaped by interaction effects in suspended graphene
• Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• Hydrodynamics of electrons in graphene
• Electron Viscosity, Current Vortices and Negative Nonlocal Resistance in Graphene
• Quantum critical transport in clean graphene
• The Role of Electron-electron Interactions in Graphene ARPES Spectra
• Terahertz and Infrared Spectroscopy of Gated Large-Area Graphene
• Colloquium: Graphene spectroscopy
• Quantum criticality between topological and band insulators in $(3+1)$-dimensions
• Optical transparency of graphene as determined by the fine-structure constant
• Coulomb interaction, ripples, and the minimal conductivity of graphene
• Many-body interactions in quasi-freestanding graphene
• Higher-Than-Ballistic Conduction of Viscous Electron Flows
• Terahertz Science and Technology of Carbon Nanomaterials
• Fluidity Onset in Graphene
• Electronic Structure Theory of Weakly Interacting Bilayers
• Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
• Quantum-critical relativistic magnetotransport in graphene
• Drude weight, plasmon dispersion, and a.c. conductivity in doped graphene sheets
• Towards the hidden symmetry in Coulomb interacting twisted bilayer graphene: renormalization group approach
• Observation of an anisotropic Dirac cone reshaping and ferrimagnetic spin polarization in an organic conductor
• The effective fine structure constant of freestanding graphene measured in graphite
• The boundary conditions of viscous electron flow
• Minimal conductivity in graphene: interaction corrections and ultraviolet anomaly
• Collective cyclotron motion of the relativistic plasma in graphene
• Hydrodynamic approach to electronic transport in graphene
• Collision-dominated nonlinear hydrodynamics in graphene
• Condensed matter and AdS/CFT
• Hydrodynamic approach to two-dimensional electron systems
• Coulomb interaction in graphene: Relaxation rates and transport
• Emulating heavy fermions in twisted trilayer graphene
• Electronic hydrodynamics in graphene
• Interacting Electrons in Graphene: Fermi Velocity Renormalization and Optical Response
• Electron-hole collision limited transport in charge-neutral bilayer graphene
• Emergent non-Fermi liquid at the quantum critical point of a topological phase transition in two dimensions
• Correlated double-Weyl semimetals with Coulomb interactions: possible applications to HgCr2Se4 and SrSi2
• Dynamic conductivity in graphene beyond linear response
• Renormalization of Coulomb interaction in graphene: computing observable quantities
• Conductivity of interacting massless Dirac particles in graphene: Collisionless regime
• Coulomb drag in graphene: perturbation theory
• Anomalous Spin Correlations and Mass-Generating Excitonic Instability of Interacting Weyl Fermions
• Chiral Symmetry Breaking in Graphene
• Linking Spatial Distributions of Potential and Current in Viscous Electronics
• Magnetohydrodynamics in graphene: shear and Hall viscosities
• Correlation effects in double-Weyl semimetals
• Tomographic Dynamics and Scale-Dependent Viscosity in Two-Dimensional Electron Systems
• Out-of-bounds hydrodynamics in anisotropic Dirac fluids
• Insulating nature of strongly correlated massless Dirac fermions in an organic crystal
• Geometrical and topological aspects of graphene and related materials
• Optical Response and Ground State of Graphene
• Electron-electron interactions in decoupled graphene layers
• Interaction and excitonic insulating transition in graphene
• Electron-Electron Interactions in the Vacuum Polarization of Graphene
• Quantum Multicriticality near the Dirac-Semimetal to Band-Insulator Critical Point in Two Dimensions: A Controlled Ascent from One Dimension
• Particle Collisions and Negative Nonlocal Response of Ballistic Electrons
• Universal collisionless transport of graphene
• Diffusive transport in Weyl semimetals
• Ground-state properties of gapped graphene using the random phase approximation
• Dynamics of electric transport in interacting Weyl semimetals
• Absence of dynamical gap generation in suspended graphene
• Universality of conductivity in interacting graphene
• Hydrodynamic collective modes in graphene
• Observation of giant and tuneable thermal diffusivity of Dirac fluid at room temperature
• Quantum critical scaling in magnetic field near the Dirac point in graphene
• Freely flowing currents and electric field expulsion in viscous electronics
• Chiral anomaly and strength of the electron-electron interaction in graphene
• Sound waves and resonances in electron-hole plasma
• Lattice quantum electrodynamics for graphene
• Emergent Anisotropic Non-Fermi Liquid at a Topological Phase Transition in Three Dimensions
• Quantum phase transitions in Dirac fermion systems
• Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
• Hall Drag and Magnetodrag in Graphene
• Relativistic Gurzhi effect in channels of Dirac materials
• Hierarchy of Information Scrambling, Thermalization, and Hydrodynamic Flow in Graphene
• Rigorous construction of ground state correlations in graphene: renormalization of the velocities and Ward Identities
• Elastic response of the electron fluid in intrinsic graphene: The collisionless regime
• Electronic ground state properties of strained graphene
• Influence of Coulomb interaction on the anisotropic Dirac cone in graphene
• Electronic compressibility of graphene: The case of vanishing electron correlations and the role of chirality
• Fluctuation-induced magnetization dynamics and criticality at the interface of a topological insulator with a magnetically ordered layer
• Strange semimetal dynamics in SrIrO${}_3$
• Weak momentum scattering and the conductivity of graphene
• Terahertz Dynamics of Quantum-Confined Electrons in Carbon Nanomaterials
• Non-local hydrodynamic transport and collective excitations in Dirac fluids
• Lévy flights and hydrodynamic superdiffusion on the Dirac cone of Graphene
• Exact Scaling Relations In Relativistic Hydrodynamic Turbulence
• Evidence for local spots of viscous electron flow in graphene at moderate mobility
• Holographic Fermionic Fixed Points in d=3
• Interaction and disorder effects in 3D topological insulator thin films
• Effect of disorder on the ground-state properties of graphene
• Hydrodynamic approach to electronic transport in graphene: energy relaxation
• Hydrodynamics of charged two-dimensional Dirac systems I: thermo-electric transport
• Kinetic theory of Coulomb drag in two monolayers of graphene: from the Dirac point to the Fermi liquid regime
• Tilted Dirac cone effects and chiral symmetry breaking in a planar four-fermion model
• Breakdown of Fermi liquid theory in topological multi-Weyl semimetals
• Optical conductivity in graphene: hydrodynamic regime
• Non-perturbative renormalization group calculation of the quasi-particle velocity and the dielectric function of graphene
• Conductivity of Coulomb interacting massless Dirac particles in graphene: Regularization-dependent parameters and symmetry constraints
• Optical conductivity of an interacting Weyl liquid in the collisionless regime
• Density of states of a graphene in the presence of strong point defects
• Magnetic Catalysis and Quantum Hall Ferromagnetism in Weakly Coupled Graphene
• Relaxation of optically excited carriers in graphene: Anomalous diffusion and Lévy flights
• Hydrodynamic charge and heat transport on inhomogeneous curved spaces
• Rayleigh-Bénard Instability in Graphene
• Influence of longitudinal electric field on the oscillating magnetocaloric effect of graphenes
• Plasmon anomaly in the dynamical optical conductivity of graphene
• Quantum capacitance and compressibility of graphene: The role of Coulomb interactions
• Effect of Coulomb interaction on the gap in monolayer and bilayer graphene
• Magnetic phases and unusual topological electronic structures of Weyl semimetals in strong interaction limit
• Ground state properties of graphene in Hartree-Fock theory
• Coulomb interactions and renormalization of semi-Dirac fermions near a topological Lifshitz transition
• Long-range Coulomb Interaction effects on Topological Phase Transitions between Semi-metals and Insulators
• Power law Kohn anomalies and the excitonic transition in graphene
• Semi-metal-insulator transition on the surface of a topological insulator with in-plane magnetization
• Quantum-Critical transport at a semimetal-to-insulator transition on the honeycomb lattice
• Shear Viscosity in a Non-Fermi Liquid Phase of a Quadratic Semimetal
• Power law Kohn anomaly in undoped graphene induced by Coulomb interactions
• On the renormalization of Coulomb interactions in two-dimensional tilted Dirac fermions
• Quantum capacitance of double-layer graphene
• Competition between excitonic gap generation and disorder scattering in graphene
• Unconventional behavior of Dirac fermions in three-dimensional gauge theory
• D3-D7 Holographic dual of a perturbed 3D CFT
• Optical conductivity of graphene in the presence of random lattice deformations
• Excitonic Instabilities and Insulating States in Bilayer Graphene
• Fermion-fermion interaction driven instability and criticality of quadratic band crossing systems with the breaking of time-reversal symmetry
• Coulomb interaction and semimetal-insulator transition in graphene
• Models of Strong Interaction in Flat-Band Graphene Nanoribbons: Magnetic Quantum Crystals
• Exact RG computation of the optical conductivity of graphene
• Corbino magnetoresistance in neutral graphene
• Interacting Dirac Materials
• Emergence of fermionic finite-temperature critical point in a Kondo lattice
• Temperature-dependent many-body effects in Dirac-Weyl materials: Interacting compressibility and quasiparticle velocity
• Thermal transport driven by charge imbalance in graphene in magnetic field, close to the charge neutrality point at low temperature: Non local resistance
• Demystifying the Holographic Mystique
• Massless Fermions on a half-space: The curious case of 2+1-dimensions
• Charge compressibility and quantum magnetic phase transition in MoS${}_2$
• Dynamic response functions of two-dimensional Dirac fermions with screened Coulomb and short-range interactions
• Collision-dominated spin transport in graphene and Fermi liquids
• Possible instabilities in quadratic and cubic nodal line fermion systems with correlated interactions
• Thermal screening at finite chemical potential on a topological surface and its interplay with proximity-induced ferromagnetism
• Extended strange metal regime from superconducting puddles
• Hall viscosity and hydrodynamic inverse Nernst effect in graphene
• The electron many-body problem in graphene
• Wilsonian Renormalization as a Quantum Channel and the Separability of Fixed Points
• Temperature dependence of the paramagnetic spin susceptibility of doped graphene
• Defect QED: Dielectric without a Dielectric, Monopole without a Monopole
• Anomalous criticality near semimetal-to-superfluid quantum phase transition in a two-dimensional Dirac cone model
• First order phase transitions within Weyl type of materials at low temperatures
• Collision-dominated conductance in clean 2D metals
• Exploring Novel Quantum Criticality in Strained Graphene
• Correlated second-order Dirac semimetals with Coulomb interactions
• Graphene is neither Relativistic nor Non-Relativistic case: Thermodynamics Aspects
• Crossover in Electronic Specific Heat near Narrow-Sense Type-III Dirac Cones
• Relativistic Wind Farm Effect: Possibly Turbulent Flow of a Charged, Massless Relativistic Fluid in Graphene
• Robust orbital diamagnetism of correlated Dirac fermions in chiral Ising universality class
• Post-transient relaxation in graphene after an intense laser pulse
• Gate-defined Kondo lattices with valley-helical quantum dot arrays
• Aharonov-Bohm magnetism and Landau diamagnetism in semimetals
• Perturbative renormalization group approach to magic-angle twisted bilayer graphene using topological heavy fermion model
• Interacting type-II semi-Dirac quasiparticles
• Spin bond order driven by extended repulsive interactions in doped graphene
• Renormalization group analysis of weakly interacting van der Waals Fermi system
• Renormalization group approach to the normal phase of 2D Fermi gases
• Optical conductivity of a Dirac-Fermi liquid
• Chern-Simons Theory of Fractional Quantum Hall Effect in (Pseudo) Massless Dirac Electrons
• Quantum Critical Ballistic Transport in Two-Dimensional Fermi Liquids