Linear response of doped graphene sheets to vector potentials
arXiv:0905.4640 · doi:10.1103/PhysRevB.80.075418
Abstract
A two-dimensional gas of massless Dirac fermions (MDFs) is a very useful model to describe low-energy electrons in monolayer graphene. Because the MDF current operator is directly proportional to the (sublattice) pseudospin operator, the MDF current-current response function, which describes the response to a vector potential, happens to coincide with the pseudospin-pseudospin response function. In this work we present analytical results for the wavevector- and frequency-dependent longitudinal and transverse pseudospin-pseudospin response functions of noninteracting MDFs. The transverse response in the static limit is then used to calculate the noninteracting orbital magnetic susceptibility. These results are a starting point for the construction of approximate pseudospin-pseudospin response functions that would take into account electron-electron interactions (for example at the random-phase-approximation level). They also constitute a very useful input for future applications of current-density-functional theory to graphene sheets subjected to time- and spatially-varying vector potentials.
11 pages, 5 figures, submitted
References in corpus (18)
- The electronic properties of graphene
- Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
- Measurement of the Optical Conductivity of Graphene
- Dielectric function, screening, and plasmons in 2D graphene
- Dynamical polarization of graphene at finite doping
- Universal dynamical conductance in graphite
- 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)
- Cyclotron Resonance study of the electron and hole velocity in graphene monolayers
- The Role of Electron-electron Interactions in Graphene ARPES Spectra
- Chirality and Correlations in Graphene
- Excitations from Filled Landau Levels in Graphene
- Collective cyclotron motion of the relativistic plasma in graphene
- Density-Functional Theory of Graphene Sheets
- Graphene: A Pseudochiral Fermi Liquid
- Diamagnetism in disordered graphene
- f-Sum Rule and Unconventional Spectral Weight Transfer in Graphene
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- Electrical plasmon detection in graphene waveguides
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- Quantum-Electron Back Action on Hybridization of Radiative and Evanescent Field Modes
- Transverse current current response of graphene at finite temperature, plasmons and absorption
- The intrinsic charge and spin conductivities of doped graphene in the Fermi-Liquid regime
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