4,110 research outputs found
An ab initio study of 3s core-level x-ray photoemission spectra in transition metals
We calculate the - and -core-level x-ray photoemission spectroscopy
(XPS) spectra in the ferromagnetic and nonmagnetic transition metals by
developing an \emph{ab initio} method. We obtain the spectra exhibiting the
characteristic shapes as a function of binding energy in good agreement with
experimental observations. The spectral shapes are strikingly different between
the majority spin channel and the minority spin channel for ferromagnetic
metals Ni, Co, and Fe, that is, large intensities appear in the higher binding
energy side of the main peak (satellite) in the majority spin channel. Such
satellite or shoulder intensities are also obtained for nonmagnetic metals V
and Ru. These behaviors are elucidated in terms of the change of the
one-electron states induced by the core-hole potential.Comment: 11 pages, 12 figures, to appear in Phys. Rev.
Aquaporin-4 Functionality and Virchow-Robin Space Water Dynamics: Physiological Model for Neurovascular Coupling and Glymphatic Flow.
The unique properties of brain capillary endothelium, critical in maintaining the blood-brain barrier (BBB) and restricting water permeability across the BBB, have important consequences on fluid hydrodynamics inside the BBB hereto inadequately recognized. Recent studies indicate that the mechanisms underlying brain water dynamics are distinct from systemic tissue water dynamics. Hydrostatic pressure created by the systolic force of the heart, essential for interstitial circulation and lymphatic flow in systemic circulation, is effectively impeded from propagating into the interstitial fluid inside the BBB by the tightly sealed endothelium of brain capillaries. Instead, fluid dynamics inside the BBB is realized by aquaporin-4 (AQP-4), the water channel that connects astrocyte cytoplasm and extracellular (interstitial) fluid. Brain interstitial fluid dynamics, and therefore AQP-4, are now recognized as essential for two unique functions, namely, neurovascular coupling and glymphatic flow, the brain equivalent of systemic lymphatics
Magnetic excitations in L-edge resonant inelastic x-ray scattering from cuprate compounds
We study the magnetic excitation spectra in L-edge resonant inelastic x-ray
scattering (RIXS) from undoped cuprates. We analyze the second-order dipole
allowed process that the strong perturbation works through the intermediate
state in which the spin degree of freedom is lost at the core-hole site. Within
the approximation neglecting the perturbation on the neighboring sites, we
derive the spin-flip final state in the scattering channel with changing the
polarization, which leads to the RIXS spectra expressed as the dynamical
structure factor of the transverse spin components. We assume a spherical form
of the spin-conserving final state in the channel without changing the
polarization, which leads to the RIXS spectra expressed as the 'exchange'-type
multi-spin correlation function. Evaluating numerically the transition
amplitudes to these final states on a finite-size cluster, we obtain a sizable
amount of the transition amplitude to the spin-conserving final state in
comparison with that to the spin-flip final state. We treat the itinerant
magnetic excitations in the final state by means of the 1/S-expansion method.
Evaluating the higher-order correction with 1/S, we find that the peak arising
from the one-magnon excitation is reduced with its weight, and the continuous
spectra arising from the three-magnon excitations come out. The interaction
between two magnons is treated by summing up the ladder diagrams. On the basis
of these results, we analyze the L_3-edge RIXS spectra in Sr_2CuO_2Cl_2 in
comparison with the experiment. It is shown that the three-magnon excitations
as well as the two-magnon excitations give rise to the intensity in the high
energy side of the one-magnon peak, making the spectral shape asymmetric with
wide width, in good agreement with the experiment.Comment: 18 pages, 10 figures, Revte
Theory of resonant inelastic x-ray scattering at the K edge in LaCuO - Multiple scattering effects -
We develop a theory of resonant inelastic x-ray scattering (RIXS) at the
edge in LaCuO on the basis of the Keldysh Green's function formalism.
In our previous analysis (Phys. Rev. B 71, 035110 (2005)), the scattering by
the core-hole potential was treated within the Born approximation, and a
crude-model density of states was used for the band. We improve the
analysis by taking account of the multiple scattering in Cu3d-O bands and
by using a realistic DOS obtained from a band calculation. The multiple
scattering effect is evaluated with the use of the time representation
developed by Nozi\`eres and De Dominicis. It is found that the multiple
scattering effect makes the -edge peak in the absorption coefficient shift
to the lower energy region as a function of photon energy, that is, the photon
energy required to excite the electron to the -edge peak reduces. It is
also found that the multiple-scattering effect does not change the two-peak
structure in the RIXS spectra but modifies slightly the shape as a function of
energy loss. These findings suggests that the multiple scattering effect could
mainly be included into a renormalization of the core-level energy and partly
justify the Born approximation, leading to a future application to the RIXS in
three-dimensional systems.Comment: revised version with extended discussion, 24 pages, 12 figures,
accepted for PR
Analysis of resonant inelastic x-ray scattering at the edge in NiO
We analyze the resonant inelastic x-ray scattering (RIXS) spectra at the Ni
edge in an antiferromagnetic insulator NiO by applying the theory developed
by the present authors. It is based on the Keldysh Green's function formalism,
and treats the core-hole potential in the intermediate state within the Born
approximation. We calculate the single-particle energy bands within the
Hartree-Fock approximation on the basis of the multi-orbital tight-binding
model. Using these energy bands together with the density of states from
an ab initio band structure calculation, we calculate the RIXS intensities as a
function of energy loss. By taking account of electron correlation within the
random phase approximation (RPA), we obtain quantitative agreement with the
experimental RIXS spectra, which consist of prominent two peaks around 5 eV and
8 eV, and the former shows considerable dispersion while the latter shows no
dispersion. We interpret the peaks as a result of a band-to-band transition
augmented by the RPA correlation.Comment: 11 pages, 10 figures, submitted to PR
Casimir effect between moving branes
We consider a supersymmetric model with a single matter supermultiplet in a
five-dimensional space-time with orbifold compactification along the fifth
dimension. The boundary conditions on the two orbifold planes are chosen in
such a way that supersymmetry remains unbroken on the boundaries. We calculate
the vacuum energy-momentum tensor in a configuration in which the boundary
branes are moving with constant velocity. The results show that the
contribution from fermions cancels that of bosons only in the static limit, but
in general a velocity-dependent Casimir energy arises between the branes. We
relate this effect to the particle production due to the branes motion and
finally we discuss some cosmological consequences.Comment: 14 pages, LaTeX. Final version with new references included, to be
published in Nucl. Phys.
Twist Symmetry and Classical Solutions in Open String Field Theory
We construct classical solutions of open string field theory which are not
invariant under ordinary twist operation. From detailed analysis of the moduli
space of the solutions, it turns out that our solutions become nontrivial at
boundaries of the moduli space. The cohomology of the modified BRST operator
and the CSFT potential evaluated by the level truncation method strongly
support the fact that our nontrivial solutions correspond to the closed string
vacuum. We show that the nontrivial solutions are equivalent to the twist even
solution which was found by Takahashi and Tanimoto, and twist invariance of
open string field theory remains after the shift of the classical backgrounds.Comment: 19 pages, 2 figures; v2: errors fixe
Theoretical Analysis of Resonant Inelastic X-Ray Scattering Spectra in LaMnO3
We analyze the resonant inelastic x-ray scattering (RIXS) spectra at the K
edge of Mn in the antiferromagnetic insulating manganite LaMnO3. We make use of
the Keldysh-type Green-function formalism, in which the RIXS intensity is
described by a product of an incident-photon-dependent factor and a
density-density correlation function in the 3d states. We calculate the former
factor using the 4p density of states given by an ab initio band structure
calculation and the latter using a multi-orbital tight-binding model. The
ground state of the model Hamiltonian is evaluated within the Hartree-Fock
approximation. Correlation effects are treated within the random phase
approximation (RPA). We obtain the RIXS intensity in a wide range of
energy-loss 2-15 eV. The spectral shape is strongly modified by the RPA
correlation, showing good agreement with the experiments. The
incident-photon-energy dependence also agrees well with the experiments. The
present mechanism that the RIXS spectra arise from band-to-band transitions to
screen the core-hole potential is quite different from the orbiton picture
previously proposed, enabling a comprehensive understanding of the RIXS
spectra.Comment: 20 pages, 10 figures, To be published in PR
Spin Excitations and Sum Rules in the Heisenberg Antiferromagnet
Various bounds for the energy of collective excitations in the Heisenberg
antiferromagnet are presented and discussed using the formalism of sum rules.
We show that the Feynman approximation significantly overestimates (by about
30\% in the square lattice) the spin velocity due to the non
negligible contribution of multi magnons to the energy weighted sum rule. We
also discuss a different, Goldstone type bound depending explicitly on the
order parameter (staggered magnetization). This bound is shown to be
proportional to the dispersion of classical spin wave theory with a
q-independent normalization factor. Rigorous bounds for the excitation energies
in the anisotropic Heisenberg model are also presented.Comment: 26 pages, Plain TeX including 1 PostScript figure, UTF-307-10/9
Multi-Bunch Solutions of Differential-Difference Equation for Traffic Flow
Newell-Whitham type car-following model with hyperbolic tangent optimal
velocity function in a one-lane circuit has a finite set of the exact solutions
for steady traveling wave, which expressed by elliptic theta function. Each
solution of the set describes a density wave with definite number of
car-bunches in the circuit. By the numerical simulation, we observe a
transition process from a uniform flow to the one-bunch analytic solution,
which seems to be an attractor of the system. In the process, the system shows
a series of cascade transitions visiting the configurations closely similar to
the higher multi-bunch solutions in the set.Comment: revtex, 7 pages, 5 figure
- …