Renormalization group aspects of graphene
arXiv:1010.5057 · doi:10.1098/rsta.2010.0383
Abstract
Graphene is a two dimensional crystal of carbon atoms with fascinating electronic and morphological properties. The low energy excitations of the neutral, clean system are described by a massless Dirac Hamiltonian in (2+1) dimensions which also captures the main electronic and transport properties. A renormalization group analysis sheds light on the success of the free model: due to the special form of the Fermi surface which reduces to two single points in momentum space, short range interactions are irrelevant and only gauge interactions like long range Coulomb or effective disorder can play a role in the low energy physics. We review these features and discuss briefly other aspects related to disorder and to the bilayer material along the same lines.
Proceedings of 'New applications of the renormalization group method in nuclear, particle and condensed matter physics' INT Seattle 2010 to appear in Phylosophical Transactions
References in corpus (45)
- Electric Field Effect in Atomically Thin Carbon Films
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Graphene: Status and Prospects
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Landau level degeneracy and quantum Hall effect in a graphite bilayer
- Biased bilayer graphene: semiconductor with a gap tunable by electric field effect
- Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
- Production, properties and potential of graphene
- Gate-induced insulating state in bilayer graphene devices
- Renormalization Group Approach to Interacting Fermions
- Gauge fields in graphene
- Graphene: new bridge between condensed matter physics and quantum electrodynamics
- Infrared spectroscopy of Landau levels in graphene
- Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
- Scanning Tunneling Spectroscopy of Graphene on Graphite
- Dynamical Axion Field in Topological Magnetic Insulators
- Electron fractionalization in two-dimensional graphenelike structures
- Marginal Fermi liquid behavior from 2d Coulomb interaction
- Coulomb-driven broken-symmetry states in doubly gated suspended bilayer graphene
- A Survey of the Van Hove Scenario for High-T_c Superconductivity With Special Emphasis on Pseudogaps and Striped Phases
- Singular Fermi Liquids
- Broken symmetry states and divergent resistance in suspended bilayer graphene
- Cyclotron Resonance study of the electron and hole velocity in graphene monolayers
- Many-body instability of Coulomb interacting bilayer graphene: RG approach
- The Electronic Spectrum of Fullerenes from the Dirac Equation
- Effects of topological defects and local curvature on the electronic properties of planar graphene
- Electron-electron interactions in graphene sheets
- Unconventional quasiparticle lifetime in graphite
- Charge inhomogeneities due to smooth ripples in graphene sheets
- Chiral Gauge Theory for Graphene
- Ground state and finite temperature signatures of quantum phase transitions in the half-filled Hubbard model on a honeycomb lattice
- Graphene via large N I: Renormalization
- Electronic properties of curved graphene sheets
- Interacting fermions on the honeycomb bilayer: from weak to strong coupling
- Massive Dirac fermions in single-layer graphene
- Disorder and interaction effects in two dimensional graphene sheets
- Renormalization of Coulomb interaction in graphene: computing observable quantities
- Long range Coulomb interaction in bilayer graphene
- Electron Interactions in Bilayer Graphene: Marginal Fermi Liquid Behaviour and Zero Bias Anomaly
- Coulomb screening and collective excitations in biased bilayer graphene
- Non-Fermi Liquid behavior in Neutral Bilayer Graphene
- Lattice gauge theory model for graphene
- Energy gaps at neutrality point in bilayer graphene in a magnetic field
- Interactions and screening in gated bilayer graphene nanoribbons
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- Geometrical and topological aspects of graphene and related materials
- New quantum critical points of Dirac electrons in antiperovskite topological crystalline insulators
- Note on an application of the method of uniqueness to reduced quantum electrodynamics
- On the exact quantum scale invariance of three-dimensional reduced QED theories
- Lattice quantum electrodynamics for graphene
- Effect of Coulomb interactions on the physical observables of graphene
- Superconformal Models for Graphene and Boundary Central Charges
- Pseudo Quantum Electrodynamics and Chern-Simons theory Coupled to Two-dimensional Electrons
- Quantum Dirac fermions in half space and their interaction with electromagnetic field
- The Casimir effect for fermionic currents in conical rings with applications to graphene ribbons
- Anisotropic fixed points in Dirac and Weyl semimetals
- Dominant Role of Two-Photon Vertex in Nonlinear Response of Dirac Materials
- On the renormalization of Coulomb interactions in two-dimensional tilted Dirac fermions
- Excitonic Instabilities and Insulating States in Bilayer Graphene
- Exact RG computation of the optical conductivity of graphene
- Reduced quantum electrodynamics in curved space
- Keldysh functional renormalization group for electronic properties of graphene
- Conformal anomaly and helicity effects in kinetic theory via scale-dependent coupling
- A non-perturbative study of the interplay between electron-phonon interaction and Coulomb interaction in undoped graphene
- Bosonization, mass generation, and the pseudo Chern-Simons action
- Renormalization group study of systems with quadratic band touching
- Dirac equation for quasi-particles in graphene and quantum field theory of their Coulomb interaction
- Chemical-potential flow equations for graphene with Coulomb interactions