16,520 research outputs found
Shapes of pored membranes
We study the shapes of pored membranes within the framework of the Helfrich
theory under the constraints of fixed area and pore size. We show that the mean
curvature term leads to a budding- like structure, while the Gaussian curvature
term tends to flatten the membrane near the pore; this is corroborated by
simulation. We propose a scheme to deduce the ratio of the Gaussian rigidity to
the bending rigidity simply by observing the shape of the pored membrane. This
ratio is usually difficult to measure experimentally. In addition, we briefly
discuss the stability of a pore by relaxing the constraint of a fixed pore size
and adding the line tension. Finally, the flattening effect due to the Gaussian
curvature as found in studying pored membranes is extended to two-component
membranes. We find that sufficiently high contrast between the components'
Gaussian rigidities leads to budding which is distinct from that due to the
line tension.Comment: 8 pages, 9 figure
Heavy-to-light scalar form factors from Muskhelishvili-Omn\`es dispersion relations
By solving the Muskhelishvili-Omn\`es integral equations, the scalar form
factors of the semileptonic heavy meson decays ,
, and
are simultaneously studied. As input, we
employ unitarized heavy meson-Goldstone boson chiral coupled-channel amplitudes
for the energy regions not far from thresholds, while, at high energies,
adequate asymptotic conditions are imposed. The scalar form factors are
expressed in terms of Omn\`es matrices multiplied by vector polynomials, which
contain some undetermined dispersive subtraction constants. We make use of
heavy quark and chiral symmetries to constrain these constants, which are
fitted to lattice QCD results both in the charm and the bottom sectors, and in
this latter sector to the light-cone sum rule predictions close to as
well. We find a good simultaneous description of the scalar form factors for
the four semileptonic decay reactions. From this combined fit, and taking
advantage that scalar and vector form factors are equal at , we obtain
, and for the involved Cabibbo-Kobayashi-Maskawa (CKM) matrix
elements. In addition, we predict the following vector form factors at :
, ,
and , which might serve as alternatives to determine the CKM elements when
experimental measurements of the corresponding differential decay rates become
available. Finally, we predict the different form factors above the
regions accessible in the semileptonic decays, up to moderate energies
amenable to be described using the unitarized coupled-channel chiral approach.Comment: includes further discussions and references; matches the accepted
versio
A Practical Guide for X-Ray Diffraction Characterization of Ga(Al, In)N Alloys
Ga(In, Al)N alloys are used as an active layer or cladding layer in light
emitting diodes and laser diodes. x-ray diffraction is extensively used to
evaluate the crystalline quality, the chemical composition and the residual
strain in Ga(Al,In)N thin films, which directly determine the emission
wavelength and the device performance. Due to the minor mismatch in lattice
parameters between Ga(Al, In)N alloy and a GaN virtual substrate, x-ray
diffraction comes to a problem to separate the signal from Ga(Al,In)N alloy and
GaN. We give a detailed comparison on different diffraction planes. In order to
balance the intensity and peak separation between Ga(Al,In)N alloy and GaN,
(0004) and (1015) planes make the best choice for symmetric scan and asymmetric
scan, respectively.Comment: 9 pages, 5 figure
On the second reference state and complete eigenstates of the open XXZ chain
The second reference state of the open XXZ spin chain with non-diagonal
boundary terms is studied. The associated Bethe states exactly yield the second
set of eigenvalues proposed recently by functional Bethe Ansatz. In the
quasi-classical limit, two sets of Bethe states give the complete eigenstates
of the associated Gaudin model.Comment: Latex file, 12 pages; New version appears in JHE
Onset of dissipation in ballistic atomic wires
Electronic transport at finite voltages in free-standing gold atomic chains
of up to 7 atoms in length is studied at low temperatures using a scanning
tunneling microscope (STM). The conductance vs voltage curves show that
transport in these single-mode ballistic atomic wires is non-dissipative up to
a finite voltage threshold of the order of several mV. The onset of dissipation
and resistance within the wire corresponds to the excitation of the atomic
vibrations by the electrons traversing the wire and is very sensitive to
strain.Comment: Revtex4, 4 pages, 3 fig
Using baryon octet magnetic moments and masses to fix the pion cloud contribution
Using SU(3) symmetry to constrain the pion BB' couplings, assuming SU(3)
breaking comes only from one-loop pion cloud contributions, and using the the
covariant spectator theory to describe the photon coupling to the quark core,
we show how the experimental masses and magnetic moments of the baryon octet
can be used to set a model independent constraint on the strength of the pion
cloud contributions to the octet, and hence the nucleon, form factors at Q2=0.Comment: 7 pages, 1 figur
Spin-orbit coupling and ESR theory for carbon nanotubes
A theoretical description of ESR in 1D interacting metals is given, with
primary emphasis on carbon nanotubes. The spin-orbit coupling is derived, and
the resulting ESR spectrum is analyzed by field theory and exact
diagonalization. Drastic differences in the ESR spectra of single-wall and
multi-wall nanotubes are found. For single-wall tubes, the predicted double
peak spectrum could reveal spin-charge separation.Comment: 4 pages, 1 figure, final version to appear in PR
Observation of discrete time-crystalline order in a disordered dipolar many-body system
Understanding quantum dynamics away from equilibrium is an outstanding
challenge in the modern physical sciences. It is well known that
out-of-equilibrium systems can display a rich array of phenomena, ranging from
self-organized synchronization to dynamical phase transitions. More recently,
advances in the controlled manipulation of isolated many-body systems have
enabled detailed studies of non-equilibrium phases in strongly interacting
quantum matter. As a particularly striking example, the interplay of periodic
driving, disorder, and strong interactions has recently been predicted to
result in exotic "time-crystalline" phases, which spontaneously break the
discrete time-translation symmetry of the underlying drive. Here, we report the
experimental observation of such discrete time-crystalline order in a driven,
disordered ensemble of dipolar spin impurities in diamond at
room-temperature. We observe long-lived temporal correlations at integer
multiples of the fundamental driving period, experimentally identify the phase
boundary and find that the temporal order is protected by strong interactions;
this order is remarkably stable against perturbations, even in the presence of
slow thermalization. Our work opens the door to exploring dynamical phases of
matter and controlling interacting, disordered many-body systems.Comment: 6 + 3 pages, 4 figure
Local dark matter searches with LISA
The drag-free satellites of LISA will maintain the test masses in geodesic
motion over many years with residual accelerations at unprecedented small
levels and time delay interferometry (TDI) will keep track of their
differential positions at level of picometers. This may allow investigations of
fine details of the gravitational field in the Solar System previously
inaccessible. In this spirit, we present the concept of a method to measure
directly the gravitational effect of the density of diffuse Local Dark Matter
(LDM) with a constellation of a few drag-free satellites, by exploiting how
peculiarly it would affect their relative motion. Using as test bed an
idealized LISA with rigid arms, we find that the separation in time between the
test masses is uniquely perturbed by the LDM, so that they acquire a
differential breathing mode. Such a LDM signal is related to the LDM density
within the orbits and has characteristic spectral components, with amplitudes
increasing in time, at various frequencies of the dynamics of the
constellation. This is the relevant result, in that the LDM signal is brought
to non-zero frequencies.Comment: 8 pages, 1 figure; v2: minor changes to match the version in press on
Classical and Quantum Gravity (special issue for the 7th International LISA
Symposium proceedings
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