570 research outputs found
Minimal conductivity of rippled graphene with topological disorder
We study the transport properties of a neutral graphene sheet with curved
regions induced or stabilized by topological defects. The proposed model gives
rise to Dirac fermions in a random magnetic field and in the random space
dependent Fermi velocity induced by the curvature. This last term leads to
singular long range correlated disorder with special characteristics. The Drude
minimal conductivity at zero energy is found to be inversely proportional to
the density of topological disorder, a signature of diffusive behavior.Comment: 12 pages, no figure
A cosmological model for corrugated graphene sheets
Defects play a key role in the electronic structure of graphene layers flat
or curved. Topological defects in which an hexagon is replaced by an n-sided
polygon generate long range interactions that make them different from
vacancies or other potential defects. In this work we review previous models
for topological defects in graphene. A formalism is proposed to study the
electronic and transport properties of graphene sheets with corrugations as the
one recently synthesized. The formalism is based on coupling the Dirac equation
that models the low energy electronic excitations of clean flat graphene
samples to a curved space. A cosmic string analogy allows to treat an arbitrary
number of topological defects located at arbitrary positions on the graphene
plane. The usual defects that will always be present in any graphene sample as
pentagon-heptagon pairs and Stone-Wales defects are studied as an example. The
local density of states around the defects acquires characteristic modulations
that could be observed in scanning tunnel and transmission electron microscopy.Comment: Proceedings of the Graphene Conference, MPI PKS Dresden, September
200
Many-body fermionic excitations in Weyl semimetals due to elastic gauge fields
We study the single-particle spectrum of three-dimensional Weyl semimetals
taking into account electron-phonon interactions that are the result of
straining the material. We find that a well-defined fermionic excitation
appears in addition to the standard peak corresponding to quasiparticle states
as suggested by Landau-Fermi liquid theory. Contrary to the case of Dirac
systems interacting via the Coulomb interaction, these satellite peaks appear
even at lowest order in perturbation theory. The new excitations are
anisotropic, as opposed to the single-particle spectrum, and their behavior is
dictated by the Debye frequency, which naturally regulates the electron-phonon
coupling.Comment: 10 pages, 2 figures, 5 pages supplemental materia
Fast and slow edges in bilayer graphene nanoribbons:tuning the transition from band to Mott insulator
We show that gated bilayer graphene zigzag ribbons possess a fast and a slow edge, characterized by edge-state velocities that differ due to non-negligible next-nearest-neighbor hopping elements. By applying bosonization and renormalization group methods, we find that the slow edge can acquire a sizable interaction-induced gap, which is tunable via an external gate voltage Vg. In contrast to the gate-induced gap in the bulk, the interaction-induced gap depends nonmonotonously on the on-site potential V
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