27,374 research outputs found
Compressibility of graphene
We develop a theory for the compressibility and quantum capacitance of
disordered monolayer and bilayer graphene including the full hyperbolic band
structure and band gap in the latter case. We include the effects of disorder
in our theory, which are of particular importance at the carrier densities near
the Dirac point. We account for this disorder statistically using two different
averaging procedures: first via averaging over the density of carriers
directly, and then via averaging in the density of states to produce an
effective density of carriers. We also compare the results of these two models
with experimental data, and to do this we introduce a model for inter-layer
screening which predicts the size of the band gap between the low-energy
conduction and valence bands for arbitary gate potentials applied to both
layers of bilayer graphene. We find that both models for disorder give
qualitatively correct results for gapless systems, but when there is a band gap
at charge neutrality, the density of states averaging is incorrect and
disagrees with the experimental data.Comment: 10 pages, 7 figures, RevTe
Unified Analysis of Cosmological Perturbations in Generalized Gravity
In a class of generalized Einstein's gravity theories we derive the equations
and general asymptotic solutions describing the evolution of the perturbed
universe in unified forms. Our gravity theory considers general couplings
between the scalar field and the scalar curvature in the Lagrangian, thus
includes broad classes of generalized gravity theories resulting from recent
attempts for the unification. We analyze both the scalar-type mode and the
gravitational wave in analogous ways. For both modes the large scale evolutions
are characterized by the same conserved quantities which are valid in the
Einstein's gravity. This unified and simple treatment is possible due to our
proper choice of the gauges, or equivalently gauge invariant combinations.Comment: 4 pages, revtex, no figure
Velocity renormalization and anomalous quasiparticle dispersion in extrinsic graphene
Using many-body diagrammatic perturbation theory we consider carrier density-
and substrate-dependent many-body renormalization of doped or gated graphene
induced by Coulombic electron-electron interaction effects. We quantitatively
calculate the many-body spectral function, the renormalized quasiparticle
energy dispersion, and the renormalized graphene velocity using the
leading-order self-energy in the dynamically screened Coulomb interaction
within the ring diagram approximation. We predict experimentally detectable
many-body signatures, which are enhanced as the carrier density and the
substrate dielectric constant are reduced, finding an intriguing instability in
the graphene excitation spectrum at low wave vectors where interaction
completely destroys all particle-like features of the noninteracting linear
dispersion. We also make experimentally relevant quantitative predictions about
the carrier density and wave-vector dependence of graphene velocity
renormalization induced by electron-electron interaction. We compare on-shell
and off-shell self-energy approximations within the ring diagram approximation,
finding a substantial quantitative difference between their predicted velocity
renormalization corrections in spite of the generally weak-coupling nature of
interaction in graphene.Comment: 9 pages, 6 figure
Cosmological perturbations in a gravity with quadratic order curvature couplings
We present a set of equations describing the evolution of the scalar-type
cosmological perturbation in a gravity with general quadratic order curvature
coupling terms. Equations are presented in a gauge ready form, thus are ready
to implement various temporal gauge conditions depending on the problems. The
Ricci-curvature square term leads to a fourth-order differential equation for
describing the spacetime fluctuations in a spatially homogeneous and isotropic
cosmological background.Comment: 5 pages, no figure, To appear in Phys. Rev.
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