27,530 research outputs found
Heat conductivity in small quantum systems: Kubo formula in Liouville space
We consider chains consisting of several identical subsystems weakly coupled
by various types of next neighbor interactions. At both ends the chain is
coupled to a respective heat bath with different temperature modeled by a
Lindblad formalism. The temperature gradient introduced by this environment is
then treated as an external perturbation. We propose a method to evaluate the
heat current and the local temperature profile of the resulting stationary
state as well as the heat conductivity in such systems. This method is similar
to Kubo techniques used e.g. for electrical transport but extended here to the
Liouville space.Comment: 6 pages, 1 figur
Chirality Selection in Open Flow Systems and in Polymerization
As an attempt to understand the homochirality of organic molecules in life, a
chemical reaction model is proposed where the production of chiral monomers
from achiral substrate is catalyzed by the polymers of the same enatiomeric
type. This system has to be open because in a closed system the enhanced
production of chiral monomers by enzymes is compensated by the associated
enhancement in back reaction, and the chiral symmetry is conserved. Open flow
without cross inhibition is shown to lead to the chirality selection in a
general model. In polymerization, the influx of substrate from the ambience and
the efflux of chiral products for purposes other than the catalyst production
make the system necessarily open. The chiral symmetry is found to be broken if
the influx of substrate lies within a finite interval. As the efficiency of the
enzyme increases, the maximum value of the enantiomeric excess approaches unity
so that the chirality selection becomes complete.Comment: 8 pages, 4 figure
Strong mobility degradation in ideal graphene nanoribbons due to phonon scattering
We investigate the low-field phonon-limited mobility in armchair graphene
nanoribbons (GNRs) using full-band electron and phonon dispersion relations. We
show that lateral confinement suppresses the intrinsic mobility of GNRs to
values typical of common bulk semiconductors, and very far from the impressive
experiments on 2D graphene. Suspended GNRs with a width of 1 nm exhibit a
mobility close to 500 cm^2/Vs at room temperature, whereas if the same GNRs are
deposited on HfO2 mobility is further reduced to about 60 cm^2/Vs due to
surface phonons. We also show the occurrence of polaron formation, leading to
band gap renormalization of ~118 meV for 1 nm-wide armchair GNRs.Comment: 11 pages, 4 figure
Magnetization of a half-quantum vortex in a spinor Bose-Einstein condensate
Magnetization dynamics of a half-quantum vortex in a spin-1 Bose-Einstein
condensate with a ferromagnetic interaction are investigated by mean-field and
Bogoliubov analyses. The transverse magnetization is shown to break the
axisymmetry and form threefold domains. This phenomenon originates from the
topological structure of the half-quantum vortex and spin conservation.Comment: 6 pages, 3 figure
Finite-dimensional analogs of string s <-> t duality and pentagon equation
We put forward one of the forms of functional pentagon equation (FPE), known
from the theory of integrable models, as an algebraic explanation to the
phenomenon known in physics as st duality. We present two simple geometrical
examples of FPE solutions, one of them yielding in a particular case the
well-known Veneziano expression for 4-particle amplitude. Finally, we interpret
our solutions of FPE in terms of relations in Lie groups.Comment: LaTeX, 12 pages, 6 eps figure
Optical properties of SiC nanotubes: A systematic study
The band structure and optical dielectric function of
single-walled zigzag
[(3,0),(4,0),(5,0),(6,0),(8,0),(9,0),(12,0),(16,0),(20,0),(24,0)], armchair
[(3,3),(4,4),(5,5),(8,8),(12,12),(15,15)], and chiral
[(4,2),(6,2),(8,4),(10,4)] SiC-NTs as well as the single honeycomb SiC sheet
have been calculated within DFT with the LDA. It is found that all the SiC
nanotubes are semiconductors, except the ultrasmall (3,0) and (4,0) zigzag
tubes which are metallic. Furthermore, the band gap of the zigzag SiC-NTs which
is direct, may be reduced from that of the SiC sheet to zero by reducing the
diameter (), though the band gap for all the SiC nanotubes with a diameter
larger than ~20 \AA is almost independent of diameter. For the electric
field parallel to the tube axis (), the for
all the SiC-NTs with a moderate diameter (say, 8 \AA) in the
low-energy region (0~6 eV) consists of a single distinct peak at ~3 eV.
However, for the small diameter SiC nanotubes such as the (4,2),(4,4) SiC-NTs,
the spectrum does deviate markedly from this general behavior. In
the high-energy region (from 6 eV upwards), the for all the
SiC-NTs exhibit a broad peak centered at ~7 eV. For the electric field
perpendicular to the tube axis (), the spectrum of
all the SiC-NTs except the (4,4), (3,0) and (4,0) nanotubes, in the low energy
region also consists of a pronounced peak at around 3 eV whilst in the
high-energy region is roughly made up of a broad hump starting from 6 eV. The
magnitude of the peaks is in general about half of the magnitude of the
corresponding ones for
Neutral triplet Collective Mode as a new decay channel in Graphite
In an earlier work we predicted the existence of a neutral triplet collective
mode in undoped graphene and graphite [Phys. Rev. Lett. {\bf 89} (2002) 16402].
In this work we study a phenomenological Hamiltonian describing the interaction
of tight-binding electrons on honeycomb lattice with such a dispersive neutral
triplet boson. Our Hamiltonian is a generalization of the Holstein polaron
problem to the case of triplet bosons with non-trivial dispersion all over the
Brillouin zone. This collective mode constitutes an important excitation branch
which can contribute to the decay rate of the electronic excitations. The
presence of such collective mode, modifies the spectral properties of electrons
in graphite and undoped graphene. In particular such collective mode, as will
be shown in this paper, can account for some part of the missing decay rate in
a time-domain measurement done on graphite
Self-consistent quantum effects in the quark meson coupling model
We derive the equation of state of nuclear matter including vacuum
polarization effects arising from the nucleons and the sigma mesons in the
quark-meson coupling model which incorporates explicitly quark degrees of
freedom with quark coupled to the scalar and vector mesons. This leads to a
softer equation of state for nuclear matter giving a lower value of
incompressibility than would be reached without quantum effects. The {\it
in-medium} nucleon and sigma meson masses are also calculated in a
self-consistent manner.Comment: 10 pages, latex, 5 figure
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