302 research outputs found
Shot noise and conductivity at high bias in bilayer graphene: Signatures of electron-optical phonon coupling
We have studied electronic conductivity and shot noise of bilayer graphene
(BLG) sheets at high bias voltages and low bath temperature K. As a
function of bias, we find initially an increase of the differential
conductivity, which we attribute to self-heating. At higher bias, the
conductivity saturates and even decreases due to backscattering from optical
phonons. The electron-phonon interactions are also responsible for the decay of
the Fano factor at bias voltages V. The high bias electronic
temperature has been calculated from shot noise measurements, and it goes up to
K at V. Using the theoretical temperature dependence of BLG
conductivity, we extract an effective electron-optical phonon scattering time
. In a 230 nm long BLG sample of mobility
cmVs, we find that decreases with increasing
voltage and is close to the charged impurity scattering time fs
at V.Comment: 7 pages, 7 figures. Extended version of the high bias part of version
1. The low bias part is discussed in arXiv:1102.065
Shot Noise in Ballistic Graphene
We have investigated shot noise in graphene field effect devices in the
temperature range of 4.2--30 K at low frequency ( = 600--850 MHz). We find
that for our graphene samples with large width over length ratio , the
Fano factor reaches a maximum 1/3 at the
Dirac point and that it decreases strongly with increasing charge density. For
smaller , the Fano factor at Dirac point is significantly lower. Our
results are in good agreement with the theory describing that transport at the
Dirac point in clean graphene arises from evanescent electronic states.Comment: Phys. Rev. Lett. 100, 196802 (2008
Conductance fluctuations in the presence of spin scattering
Electron transport through disordered systems that include spin scatterers is
studied numerically. We consider three kinds of magnetic impurities: the Ising,
the XY and the Heisenberg. By extending the transfer matrix method to include
the spin degree of freedom, the two terminal conductance is calculated. The
variance of conductance is halved as the number of spin components of the
magnetic impurities increases. Application of the Zeeman field in the lead
causes a further halving of the variance under certain conditions.Comment: to be published in Phys. Rev.
Magnetotransport in inhomogeneous magnetic fields
Quantum transport in inhomogeneous magnetic fields is investigated
numerically in two-dimensional systems using the equation of motion method. In
particular, the diffusion of electrons in random magnetic fields in the
presence of additional weak uniform magnetic fields is examined. It is found
that the conductivity is strongly suppressed by the additional uniform magnetic
field and saturates when the uniform magnetic field becomes on the order of the
fluctuation of the random magnetic field. The value of the conductivity at this
saturation is found to be insensitive to the magnitude of the fluctuation of
the random field. The effect of random potential on the magnetoconductance is
also discussed.Comment: 5 pages, 5 figure
Diffusion of electrons in random magnetic fields,
Diffusion of electrons in a two-dimensional system in static random magnetic
fields is studied by solving the time-dependent Schr\"{o}dinger equation
numerically. The asymptotic behaviors of the second moment of the wave packets
and the temporal auto-correlation function in such systems are investigated. It
is shown that, in the region away from the band edge, the growth of the
variance of the wave packets turns out to be diffusive, whereas the exponents
for the power-law decay of the temporal auto- correlation function suggest a
kind of fractal structure in the energy spectrum and in the wave functions. The
present results are consistent with the interpretation that the states away
from the band edge region are critical.Comment: 22 pages (8 figures will be mailed if requested), LaTeX, to appear in
Phys. Rev.
Cosmological perturbations in the Palatini formulation of modified gravity
Cosmology in extended theories of gravity is considered assuming the Palatini
variational principle, for which the metric and connection are independent
variables. The field equations are derived to linear order in perturbations
about the homogeneous and isotropic but possibly spatially curved background.
The results are presented in a unified form applicable to a broad class of
gravity theories allowing arbitrary scalar-tensor couplings and nonlinear
dependence on the Ricci scalar in the gravitational action. The gauge-ready
formalism exploited here makes it possible to obtain the equations immediately
in any of the commonly used gauges. Of the three type of perturbations, the
main attention is on the scalar modes responsible for the cosmic large-scale
structure. Evolution equations are derived for perturbations in a late universe
filled with cold dark matter and accelerated by curvature corrections. Such
corrections are found to induce effective pressure gradients which are
problematical in the formation of large-scale structure. This is demonstrated
by analytic solutions in a particular case. A physical equivalence between
scalar-tensor theories in metric and in Palatini formalisms is pointed out.Comment: 14 pages; the published version (+ an appendix). Corrected typos in
eqs. 30,33 and B
Anderson transition in three-dimensional disordered systems with symplectic symmetry
The Anderson transition in a 3D system with symplectic symmetry is
investigated numerically. From a one-parameter scaling analysis the critical
exponent of the localization length is extracted and estimated to be . The level statistics at the critical point are also analyzed
and shown to be scale independent. The form of the energy level spacing
distribution at the critical point is found to be different from that
for the orthogonal ensemble suggesting that the breaking of spin rotation
symmetry is relevant at the critical point.Comment: 4 pages, revtex, to appear in Physical Review Letters. 3 figures
available on request either by fax or normal mail from
[email protected] or [email protected]
Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
One of the greatest problems of standard cosmology is the Big Bang
singularity. Previously it has been shown that non-local ghostfree
higher-derivative modifications of Einstein gravity in the ultra-violet regime
can admit non-singular bouncing solutions. In this paper we study in more
details the dynamical properties of the equations of motion for these theories
of gravity in presence of positive and negative cosmological constants and
radiation. We find stable inflationary attractor solutions in the presence of a
positive cosmological constant which renders inflation {\it geodesically
complete}, while in the presence of a negative cosmological constant a cyclic
universe emerges. We also provide an algorithm for tracking the super-Hubble
perturbations during the bounce and show that the bouncing solutions are free
from any perturbative instability.Comment: 38 pages, 6 figures. V2: Added: a word to the title, clarifications,
an appendix, many references. To appear in JCA
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