2,057 research outputs found
Theory of Coherent -Axis Josephson Tunneling between Layered Superconductors
We calculate exactly the Josephson current for -axis coherent tunneling
between two layered superconductors, each with internal coherent tight-binding
intra- and interlayer quasiparticle dispersions. Our results also apply when
one or both of the superconductors is a bulk material, and include the usually
neglected effects of surface states. For weak tunneling, our results reduce to
our previous results derived using the tunneling Hamiltonian. Our results are
also correct for strong tunneling. However, the -axis tunneling results of
Tanaka and Kashiwaya are shown to be incorrect in any limit. In addition, we
consider the -axis coherent critical current between two identical layered
superconductors twisted an angle about the -axis with respect to
each other. Regardless of the order parameter symmetry, our coherent tunneling
results using a tight-binding intralayer quasiparticle dispersion are
inconsistent with the recent -axis twist bicrystal
BiSrCaCuO twist junction experiments of Li {\it et
al.}Comment: 11 pages, 13 figures, submitted to Physical Review
Comment on "c-axis Josephson tunneling in -wave superconductors''
This comment points out that the recent paper by Maki and Haas [Phys. Rev. B
{\bf 67}, 020510 (2003)] is completely wrong.Comment: 1 page, submittted to Phys. Rev.
Divergent Time Scale in Axelrod Model Dynamics
We study the evolution of the Axelrod model for cultural diversity. We
consider a simple version of the model in which each individual is
characterized by two features, each of which can assume q possibilities. Within
a mean-field description, we find a transition at a critical value q_c between
an active state of diversity and a frozen state. For q just below q_c, the
density of active links between interaction partners is non-monotonic in time
and the asymptotic approach to the steady state is controlled by a time scale
that diverges as (q-q_c)^{-1/2}.Comment: 4 pages, 5 figures, 2-column revtex4 forma
Towards the Standard Model spectrum from elliptic Calabi-Yau
We show that it is possible to construct supersymmetric three-generation
models of Standard Model gauge group in the framework of non-simply-connected
elliptically fibered Calabi-Yau, without section but with a bi-section. The
fibrations on a cover Calabi-Yau, where the model has 6 generations of SU(5)
and the bundle is given via the spectral cover description, use a different
description of the elliptic fibre which leads to more than one global section.
We present two examples of a possible cover Calabi-Yau with a free involution:
one is a fibre product of rational elliptic surfaces ; another example is
an elliptic fibration over a Hirzebruch surface. There we give the necessary
amount of chiral matter by turning on in the bundles a further parameter,
related to singularities of the fibration and the branching of the spectral
cover.Comment: 31 pages, 1 eps-figure, reference added, bundle parameters for dP9
model change
Information feedback and mass media effects in cultural dynamics
We study the effects of different forms of information feedback associated
with mass media on an agent-agent based model of the dynamics of cultural
dissemination. In addition to some processes previously considered, we also
examine a model of local mass media influence in cultural dynamics. Two
mechanisms of information feedback are investigated: (i) direct mass media
influence, where local or global mass media act as an additional element in the
network of interactions of each agent, and (ii) indirect mass media influence,
where global media acts as a filter of the influence of the existing network of
interactions of each agent. Our results generalize previous findings showing
that cultural diversity builds-up by increasing the strength of the mass media
influence. We find that this occurs independently of the mechanisms of action
(direct or indirect) of the mass media message. However, through an analysis of
the full range of parameters measuring cultural diversity, we establish that
the enhancement of cultural diversity produced by interaction with mass media
only occurs for strong enough mass media messages. In comparison with previous
studies a main different result is that weak mass media messages, in
combination with agent-agent interaction, are efficient in producing cultural
homogeneity. Moreover, the homogenizing effect of weak mass media messages are
more efficient for direct local mass media messages than for global mass media
messages or indirect global mass media influences.Comment: 20n pages, 10 figure
Single-ion and exchange anisotropy effects and multiferroic behavior in high-symmetry tetramer single molecule magnets
We study single-ion and exchange anisotropy effects in equal-spin
tetramer single molecule magnets exhibiting , , ,
, , or ionic point group symmetry. We first write the
group-invariant quadratic single-ion and symmetric anisotropic exchange
Hamiltonians in the appropriate local coordinates. We then rewrite these local
Hamiltonians in the molecular or laboratory representation, along with the
Dzyaloshinskii-Moriay (DM) and isotropic Heisenberg, biquadratic, and
three-center quartic Hamiltonians. Using our exact, compact forms for the
single-ion spin matrix elements, we evaluate the eigenstate energies
analytically to first order in the microscopic anisotropy interactions,
corresponding to the strong exchange limit, and provide tables of simple
formulas for the energies of the lowest four eigenstate manifolds of
ferromagnetic (FM) and anitiferromagnetic (AFM) tetramers with arbitrary .
For AFM tetramers, we illustrate the first-order level-crossing inductions for
, and obtain a preliminary estimate of the microscopic
parameters in a Ni from a fit to magnetization data.
Accurate analytic expressions for the thermodynamics, electron paramagnetic
resonance absorption and inelastic neutron scattering cross-section are given,
allowing for a determination of three of the microscopic anisotropy
interactions from the second excited state manifold of FM tetramers. We also
predict that tetramers with symmetries and should exhibit both
DM interactions and multiferroic states, and illustrate our predictions for
.Comment: 30 pages, 14 figures, submitted to Phys. Rev.
Theory of BiSrCaCuO Cross-Whisker Josephson Junctions
Takano {\it et al.} [Phys. Rev. B {\bf 65}, 140513 (2002) and unpublished]
made Josephson junctions from single crystal whiskers of
BiSrCaCuO crossed an angle about the
axis.
From the mesa structures that formed at the cross-whisker interface, they
inferred a critical current density . Like the single crystal
results of Li {\it et al.} [Phys. Rev. Lett. {\bf 83}, 4160 (1999)], we show
that the whisker data are unlikely to result from a predominantly d-wave order
parameter. However, unlike the single crystals, these results, if correct,
require the whisker c-axis transport to be coherent.Comment: 5 pages, 4 figures, accepted for publication in Physical Review
Heisenberg Dimer Single Molecule Magnets in a Strong Magnetic Field
We calculate the static and dynamic properties of single crystal, single
molecule magnets consisting of equal spin or 5/2 dimers. The spins in
each dimer interact with each other via the Heisenberg exchange interaction and
with the magnetic induction via the Zeeman interaction, and
interdimer interactions are negligible. For antiferromagnetic couplings, the
static magnetization and specific heat exhibit interesting low temperature
and strong quantum effects. We calculate the frequency spectrum of
the Fourier transform of the real part of the time autocorrelation function
for arbitrary , and compare our results with
those obtained for classical spins. We also calculate the inelastic neutron
magnetic dynamical structure factor at arbitrary .Comment: 11 pages, 14 figures, submitted to Phys. Rev.
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