Theory of Conductivity of Chiral Particles
arXiv:1304.3929 · doi:10.1088/1742-5468/2013/12/P12006
Abstract
In this methodology focused paper we scrutinize the application of the band-coherent Boltzmann equation approach to calculating the conductivity of chiral particles. As the ideal testing ground we use the two-band kinetic Hamiltonian with an N-fold chiral twist that arise in a low-energy description of charge carriers in rhombohedrally stacked multilayer graphene. To understand the role of chirality in the conductivity of such particles we also consider the artificial model with the chiral winding number decoupled from the power of the dispersion. We first utilize the approximate but analytically solvable band-coherent Boltzmann approach including the ill-understood principal value terms that are a byproduct of several quantum-many body theory derivations of Boltzmann collision integrals. Further on, we employ the finite-size Kubo formula with the exact diagonalization of the total Hamiltonian perturbed by disorder. Finally, we compare several choices of Ansatz in the derivation of the Boltzmann equation according to the qualitative agreement between the Boltzmann and Kubo conductivities. We find that the best agreement can be reached in the approach where the principle value terms in the collision integral are absent.
21 pages, 5 figures
References in corpus (23)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Chiral tunneling and the Klein paradox in graphene
- Quantum interference and Klein tunneling in graphene heterojunctions
- Evidence of Klein tunneling in graphene p-n junctions
- Quantum transport of massless Dirac fermions in graphene
- Electronic states and Landau levels in graphene stacks
- Quantum critical transport in clean graphene
- Chiral Decomposition in the Electronic Structure of Graphene Multilayers
- Tunneling through molecules and quantum dots: master-equation approaches
- How close can one approach the Dirac point in graphene experimentally?
- Landau level spectra and the quantum Hall effect of multilayer graphene
- Origin of Universal Optical Conductivity and Optical Stacking Sequence Identification in Multilayer Graphene
- Small-angle impurity scattering and the spin Hall conductivity in 2D systems
- Conductivity of interacting massless Dirac particles in graphene: Collisionless regime
- Chirality-dependent phonon-limited resistivity in multiple layers of graphene
- Finite Conductivity Minimum in Bilayer Graphene without Charge Inhomogeneities
- Weak momentum scattering and the conductivity of graphene
- Polarizability and Screening in Chiral Multilayer Graphene
- Semiclassical Boltzmann transport theory for graphene multilayers
- Thermally activated conductivity in gapped bilayer graphene
- Polarization-sensitive absorption of THz radiation by interacting electrons in chirally stacked multilayer graphene
- Diffusive transport in graphene: the role of interband correlation
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- Dynamical charge and pseudospin currents in graphene and possible Cooper pair formation