5,992 research outputs found
Magnetization plateaux and jumps in a frustrated four-leg spin tube under a magnetic field
We study the ground state phase diagram of a frustrated spin-1/2 four-leg
spin tube in an external magnetic field. We explore the parameter space of this
model in the regime of all-antiferromagnetic exchange couplings by means of
three different approaches: analysis of low-energy effective Hamiltonian (LEH),
a Hartree variational approach (HVA) and density matrix renormalization group
(DMRG) for finite clusters. We find that in the limit of weakly interacting
plaquettes, low-energy singlet, triplet and quintuplet states play an important
role in the formation of fractional magnetization plateaux. We study the
transition regions numerically and analytically, and find that they are
described, at first order in a strong- coupling expansion, by an XXZ spin-1/2
chain in a magnetic field; the second-order terms give corrections to the XXZ
model. All techniques provide consistent results which allow us to predict the
existence of fractional plateaux in an important region in the space of
parameters of the model.Comment: 10 pages, 7 figures. Accepted for publication in Physical Review
Theory of weakly nonlinear self sustained detonations
We propose a theory of weakly nonlinear multi-dimensional self sustained
detonations based on asymptotic analysis of the reactive compressible
Navier-Stokes equations. We show that these equations can be reduced to a model
consisting of a forced, unsteady, small disturbance, transonic equation and a
rate equation for the heat release. In one spatial dimension, the model
simplifies to a forced Burgers equation. Through analysis, numerical
calculations and comparison with the reactive Euler equations, the model is
demonstrated to capture such essential dynamical characteristics of detonations
as the steady-state structure, the linear stability spectrum, the
period-doubling sequence of bifurcations and chaos in one-dimensional
detonations and cellular structures in multi- dimensional detonations
Electron Confinement Induced by Diluted Hydrogen-like Ad-atoms in Graphene Ribbons
We report the electronic properties of two-dimensional systems made of
graphene nanoribbons which are patterned with ad-atoms in two separated
regions. Due to the extra electronic confinement induced by the presence of the
impurities, we find resonant levels, quasi-bound and impurity-induced localized
states, which determine the transport properties of the system. Regardless of
the ad-atom distribution in the system, we apply band-folding procedures to
simple models and predict the energies and the spatial distribution of those
impurity-induced states. We take into account two different scenarios: gapped
graphene and the presence of randomly distributed ad-atoms in a low dilution
regime. In both cases the defect-induced resonances are still detected. Our
findings would encourage experimentalist to synthesize these systems and
characterize their quasi-localized states employing, for instance, scanning
tunneling spectroscopy (STS). Additionally, the resonant transport features
could be used in electronic applications and molecular sensor devices.Comment: 12 pages, 11 figures, submitted (minor changes
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