7,521 research outputs found
Suppression of thermally activated escape by heating
The problem of thermally activated escape over a potential barrier is solved
by means of path integrals for one-dimensional reaction dynamics with very
general time dependences. For a suitably chosen but still quite simple static
potential landscape, the net escape rate may be substantially reduced by
temporally increasing the temperature above its unperturbed constant level.Comment: 4 pages, 2 figure
The possibility of measuring intrinsic electronic correlations in graphene using a d-wave contact Josephson junction
While not widely recognized, electronic correlations might play an important
role in graphene. Indeed, Pauling's resonance valence bond (RVB) theory for the
pp-bonded planar organic molecules, of which graphene is the infinite
extension, already established the importance of the nearest neighbor
spin-singlet bond (SB) state in these materials. However, despite the recent
growth of interest in graphene, there is still no quantitative estimate of the
effects of Coulomb repulsion in either undoped or doped graphene. Here we use a
tight-binding Bogoliubov-de Gennes (TB BdG) formalism to show that in
unconventional d-wave contact graphene Josephson junctions the intrinsic SB
correlations are strongly enhanced. We show on a striking effect of the SB
correlations in both proximity effect and Josephson current as well as
establishing a 1/(T-T_c) functional dependence for the superconducting decay
length. Here T_c is the superconducting transition temperature for the
intrinsic SB correlations, which depends on both the effects of Coulomb
repulsion and the doping level. We therefore propose that d-wave contact
graphene Josephson junctions will provide a promising experimental system for
the measurement of the effective strength of intrinsic SB correlations in
graphene.Comment: 4 pages, 4 figure
The effect of nearest neighbor spin-singlet correlations in conventional graphene SNS Josephson junctions
Using the self-consistent tight-binding Bogoliubov-de Gennes formalism we
have studied the effect of nearest neighbor spin-singlet bond (SB) correlations
on Josephson coupling and proximity effect in graphene SNS Josephson junctions
with conventional s-wave superconducting contacts. Despite the s-wave
superconducting state in the contacts, the SB pairing state inside the junction
has d-wave symmetry and clean, sharp interface junctions resemble a
'bulk-meets-bulk' situation with very little interaction between the two
different superconducting states. In fact, due to a finite-size suppression of
the superconducting state, a stronger SB coupling constant than in the bulk is
needed in order to achieve SB pairing in a junction. For both short clean
zigzag and armchair junctions a d-wave state that has a zero Josephson coupling
to the s-wave state is chosen and therefore the Josephson current decreases
when a SB pairing state develops in these junctions. In more realistic
junctions, with smoother doping profiles and atomic scale disorder at the
interfaces, it is possible to achieve some coupling between the contact s-wave
state and the SB d-wave states. In addition, by breaking the appropriate
lattice symmetry at the interface in order to induce another d-wave state, a
non-zero Josephson coupling can be achieved which leads to a substantial
increase in the Josephson current. We also report on the LDOS of the junctions
and on a lack of zero energy states at interfaces despite the unconventional
order parameters, which we attribute to the near degeneracy of the two d-wave
solutions and their mixing at a general interface.Comment: 13 pages, 9 figures. Typos correcte
Analysis of the contributions of three-body potentials in the equation of state of 4He
The effect of three-body interatomic contributions in the equation of state
of 4He are investigated. A recent two-body potential together with the Cohen
and Murrell (Chem. Phys. Lett. 260, 371 (1996)) three-body potential are
applied to describe bulk helium. The triple-dipole dispersion and exchange
energies are evaluated subjected only to statistical uncertainties. An
extension of the diffusion Monte Carlo method is applied in order to compute
very small energies differences. The results show how the three-body
contributions affects the ground-state energy, the equilibrium, melting and
freezing densities.Comment: 18 pages, 3 figures, 4 table
Negative refraction in natural ferromagnetic metals
It is generally believed that Veselago's criterion for negative refraction
cannot be fulfilled in natural materials. However, considering imaginary parts
of the permittivity ({\epsilon}) and permeability ({\mu}) and for metals at not
too high frequencies the general condition for negative refraction becomes
extremely simple: Re({\mu}) Re(n) < 0. Here we demonstrate
experimentally that in such natural metals as pure Co and FeCo alloy the
negative values of the refractive index are achieved close to the frequency of
the ferromagnetic resonance. Large values of the negative refraction can be
obtained at room temperature and they can easily be tuned in moderate magnetic
fields
Solving the TTC 2011 Compiler Optimization Task with metatools
The authors' "metatools" are a collection of tools for generic programming.
This includes generating Java sources from mathematically well-founded
specifications, as well as the creation of strictly typed document object
models for XML encoded texts. In this context, almost every computer-internal
structure is treated as a "model", and every computation is a kind of model
transformation.
This concept differs significantly from "classical model transformation"
executed by specialized tools and languages. Therefore it seemed promising to
the organizers of the TTC 2011, as well as to the authors, to apply metatools
to one of the challenges, namely to the "compiler optimization task". This is a
report on the resulting experiences.Comment: In Proceedings TTC 2011, arXiv:1111.440
Reconstructing the geometric structure of a Riemannian symmetric space from its Satake diagram
The local geometry of a Riemannian symmetric space is described completely by
the Riemannian metric and the Riemannian curvature tensor of the space. In the
present article I describe how to compute these tensors for any Riemannian
symmetric space from the Satake diagram, in a way that is suited for the use
with computer algebra systems. As an example application, the totally geodesic
submanifolds of the Riemannian symmetric space SU(3)/SO(3) are classified.
The submission also contains an example implementation of the algorithms and
formulas of the paper as a package for Maple 10, the technical documentation
for this implementation, and a worksheet carrying out the computations for the
space SU(3)/SO(3) used in the proof of Proposition 6.1 of the paper.Comment: 23 pages, also contains two Maple worksheets and technical
documentatio
Nonequilibrium entropy production for open quantum systems
We consider open quantum systems weakly coupled to a heat reservoir and
driven by arbitrary time-dependent parameters. We derive exact microscopic
expressions for the nonequilibrium entropy production and entropy production
rate, valid arbitrarily far from equilibrium. By using the two-point energy
measurement statistics for system and reservoir, we further obtain a quantum
generalization of the integrated fluctuation theorem put forward by Seifert
[PRL 95, 040602 (2005)].Comment: 4 pages, 1 figur
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