8,580 research outputs found
Group theory of Wannier functions providing the basis for a deeper understanding of magnetism and superconductivity
The paper presents the group theory of best localized and symmetry-adapted
Wannier functions in a crystal of any given space group G or magnetic group M.
Provided that the calculated band structure of the considered material is given
and that the symmetry of the Bloch functions at all the points of symmetry in
the Brillouin zone is known, the paper details whether or not the Bloch
functions of particular energy bands can be unitarily transformed into best
localized Wannier functions symmetry-adapted to the space group G, to the
magnetic group M, or to a subgroup of G or M. In this context, the paper
considers usual as well as spin-dependent Wannier functions, the latter
representing the most general definition of Wannier functions. The presented
group theory is a review of the theory published by one of the authors in
several former papers and is independent of any physical model of magnetism or
superconductivity. However, it is suggested to interpret the special symmetry
of the best localized Wannier functions in the framework of a nonadiabatic
extension of the Heisenberg model, the nonadiabatic Heisenberg model. On the
basis of the symmetry of the Wannier functions, this model of strongly
correlated localized electrons makes clear predictions whether or not the
system can possess superconducting or magnetic eigenstates
Density profiles of a colloidal liquid at a wall under shear flow
Using a dynamical density functional theory we analyze the density profile of
a colloidal liquid near a wall under shear flow. Due to the symmetries of the
system considered, the naive application of dynamical density functional theory
does not lead to a shear induced modification of the equilibrium density
profile, which would be expected on physical grounds. By introducing a
physically motivated dynamic mean field correction we incorporate the missing
shear induced interparticle forces into the theory. We find that the shear flow
tends to enhance the oscillations in the density profile of hard-spheres at a
hard-wall and, at sufficiently high shear rates, induces a nonequilibrium
transition to a steady state characterized by planes of particles parallel to
the wall. Under gravity, we find that the center-of-mass of the density
distribution increases with shear rate, i.e., shear increases the potential
energy of the particles
One-Nucleon Effective Generators of the Poincare Group derived from a Field Theory: Mass Renormalization
We start from a Lagrangian describing scalar "nucleons" and mesons which
interact through a simple vertex. Okubo's method of unitary transformation is
used to describe a single nucleon dressed by its meson cloud. We find an
expression for the physical mass of the nucleon being correct up to second
order in the coupling constant. It is then verified that this result is the
same as the corresponding expression found by Feynman techniques. Finally we
also express the three boost operators in terms of the physical nucleon mass.
Doing so we find expressions for all the ten generators of Poincar\'e
transformations for the system of one single dressed nucleon.Comment: 19 pages, no figure
Small distance expansion for radiative heat transfer between curved objects
We develop a small distance expansion for the radiative heat transfer between
gently curved objects, in terms of the ratio of distance to radius of
curvature. A gradient expansion allows us to go beyond the lowest order
proximity transfer approximation. The range of validity of such expansion
depends on temperature as well as material properties. Generally, the expansion
converges faster for the derivative of the transfer than for the transfer
itself, which we use by introducing a near-field adjusted plot. For the case of
a sphere and a plate, the logarithmic correction to the leading term has a very
small prefactor for all materials investigated.Comment: 5 pages, 3 figure
Galileo In-Situ Dust Measurements in Jupiter's Gossamer Rings
During its late orbital mission at Jupiter the Galileo spacecraft made two
passages through the giant planet's gossamer ring system. The impact-ionization
dust detector on board successfully recorded dust impacts during both ring
passages and provided the first in-situ measurements from a dusty planetary
ring. In all, a few thousand dust impacts were counted with the instrument
accumulators during both ring passages, but only a total of 110 complete data
sets of dust impacts were transmitted to Earth. Detected particle sizes range
from about 0.2 to 5 micron, extending the known size distribution by an order
of magnitude towards smaller particles than previously derived from optical
imaging (Showalter et al. 2008). The grain size distribution increases towards
smaller particles and shows an excess of these tiny motes in the Amalthea
gossamer ring compared to the Thebe ring. The size distribution for the
Amalthea ring derived from our in-situ measurements for the small grains agrees
very well with the one obtained from images for large grains. Our analysis
shows that particles contributing most to the optical cross-section are about 5
micron in radius, in agreement with imaging results. The measurements indicate
a large drop in particle flux immediately interior to Thebe's orbit and some
detected particles seem to be on highly-tilted orbits with inclinations up to
20 deg.Comment: 13 figures, 4 tables, submitted to Icaru
Effective interactions between star polymers
We study numerically the effective pair potential between star polymers with
equal arm lengths and equal number of arms. The simulations were done for
the soft core Domb-Joyce model on the simple cubic lattice, to minimize
corrections to scaling and to allow for an unlimited number of arms. For the
sampling, we used the pruned-enriched Rosenbluth method (PERM). We find that
the potential is much less soft than claimed in previous papers, in particular
for . While we verify the logarithmic divergence of , with
being the distance between the two cores, predicted by Witten and Pincus, we
find for that the Mayer function is hardly distinguishable from that for
a Gaussian potential.Comment: 5 pages, 5 figure
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