21,087 research outputs found
Origin of the mixed-order transition in multiplex networks: the Ashkin-Teller model
Recently, diverse phase transition (PT) types have been obtained in multiplex
networks, such as discontinuous, continuous, and mixed-order PTs. However, they
emerge from individual systems, and there is no theoretical understanding of
such PTs in a single framework. Here, we study a spin model called the
Ashkin-Teller (AT) model in a mono-layer scale-free network; this can be
regarded as a model of two species of Ising spin placed on each layer of a
double-layer network. The four-spin interaction in the AT model represents the
inter-layer interaction in the multiplex network. Diverse PTs emerge depending
on the inter-layer coupling strength and network structure. Especially, we find
that mixed-order PTs occur at the critical end points. The origin of such
behavior is explained in the framework of Landau-Ginzburg theory.Comment: 10 pages, 5 figure
A Reinvestigation of Moving Punctured Black Holes with a New Code
We report on our code, in which the moving puncture method is applied and an
adaptive/fixed mesh refinement is implemented, and on its preliminary
performance on black hole simulations. Based on the BSSN formulation,
up-to-date gauge conditions and the modifications of the formulation are also
implemented and tested. In this work we present our primary results about the
simulation of a single static black hole, of a moving single black hole, and of
the head-on collision of a binary black hole system. For the static punctured
black hole simulations, different modifications of the BSSN formulation are
applied. It is demonstrated that both the currently used sets of modifications
lead to a stable evolution. For cases of a moving punctured black hole with or
without spin, we search for viable gauge conditions and study the effect of
spin on the black hole evolution. Our results confirm previous results obtained
by other research groups. In addition, we find a new gauge condition, which has
not yet been adopted by any other researchers, which can also give stable and
accurate black hole evolution calculations. We examine the performance of the
code for the head-on collision of a binary black hole system, and the agreement
of the gravitational waveform it produces with that obtained in other works. In
order to understand qualitatively the influence of matter on the binary black
hole collisions, we also investigate the same head-on collision scenarios but
perturbed by a scalar field. The numerical simulations performed with this code
not only give stable and accurate results that are consistent with the works by
other numerical relativity groups, but also lead to the discovery of a new
viable gauge condition, as well as clarify some ambiguities in the modification
of the BSSN formulation.Comment: 17 pages, 8 figures, accepted for publication in PR
Heavy-quark meson spectrum tests of the Oktay-Kronfeld action
The Oktay-Kronfeld (OK) action extends the Fermilab improvement program for
massive Wilson fermions to higher order in suitable power-counting schemes. It
includes dimension-six and -seven operators necessary for matching to QCD
through order in HQET power counting, for
applications to heavy-light systems, and in NRQCD power
counting, for applications to quarkonia. In the Symanzik power counting of
lattice gauge theory near the continuum limit, the OK action includes all
and some terms. To assess whether the
theoretical improvement is realized in practice, we study combinations of
heavy-strange and quarkonia masses and mass splittings, designed to isolate
heavy-quark discretization effects. We find that, with one exception, the
results obtained with the tree-level-matched OK action are significantly closer
to the continuum limit than the results obtained with the Fermilab action. The
exception is the hyperfine splitting of the bottom-strange system, for which
our statistical errors are too large to draw a firm conclusion. These studies
are carried out with data generated with the tadpole-improved Fermilab and OK
actions on 500 gauge configurations from one of MILC's ~fm,
-flavor, asqtad-staggered ensembles.Comment: 12 pages, 5 figure
Magnetic-field and doping dependence of low-energy spin fluctuations in the antiferroquadrupolar compound Ce(1-x)La(x)B(6)
CeB(6) is a model compound exhibiting antiferroquadrupolar (AFQ) order, its
magnetic properties being typically interpreted within localized models. More
recently, the observation of strong and sharp magnetic exciton modes forming in
its antiferromagnetic (AFM) state at both ferromagnetic and AFQ wave vectors
suggested a significant contribution of itinerant electrons to the spin
dynamics. Here we investigate the evolution of the AFQ excitation upon the
application of an external magnetic field and the substitution of Ce with
non-magnetic La, both parameters known to suppress the AFM phase. We find that
the exciton energy decreases proportionally to T_N upon doping. In field, its
intensity is suppressed, while its energy remains constant. Its disappearance
above the critical field of the AFM phase is preceded by the formation of two
modes, whose energies grow linearly with magnetic field upon entering the AFQ
phase. These findings suggest a crossover from itinerant to localized spin
dynamics between the two phases, the coupling to heavy-fermion quasiparticles
being crucial for a comprehensive description of the magnon spectrum.Comment: Extended version with a longer introduction and an additional figure.
6 pages and 5 figure
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