2,573 research outputs found
Model Wavefunctions for the Collective Modes and the Magneto-roton Theory of the Fractional Quantum Hall Effect
We construct model wavefunctions for the collective modes of fractional
quantum Hall systems. The wavefunctions are expressed in terms of symmetric
polynomials characterized by a root partition and a "squeezed" basis, and show
excellent agreement with exact diagonalization results for finite systems. In
the long wavelength limit, the model wavefunctions reduce to those predicted by
the single-mode approximation, and remain accurate at energies above the
continuum of roton pairs.Comment: 4 pages, 3 figures, minor changes for the final prl versio
Dimerized Solids and Resonating Plaquette Order in SU(N)-Dirac Fermions
We study the quantum phases of fermions with an explicit SU(N)-symmetric,
Heisenberg-like nearest-neighbor flavor exchange interaction on the honeycomb
lattice at half-filling. Employing projective (zero temperature) quantum Monte
Carlo simulations for even values of N, we explore the evolution from a
weak-coupling semimetal into the strong-coupling, insulating regime.
Furthermore, we compare our numerical results to a saddle-point approximation
in the large-N limit. From the large-N regime down to the SU(6) case, the
insulating state is found to be a columnar valence bond crystal, with a direct
transition to the semimetal at weak, finite coupling, in agreement with the
mean-field result in the large-N limit. At SU(4) however, the insulator
exhibits a subtly different valence bond crystal structure, stabilized by
resonating valence bond plaquettes. In the SU(2) limit, our results support a
direct transition between the semimetal and an antiferromagnetic insulator.Comment: 5 pages, 6 figure
Dynamical Signatures of Edge-State Magnetism on Graphene Nanoribbons
We investigate the edge-state magnetism of graphene nanoribbons using
projective quantum Monte Carlo simulations and a self-consistent mean-field
approximation of the Hubbard model. The static magnetic correlations are found
to be short ranged. Nevertheless, the correlation length increases with the
width of the ribbon such that already for ribbons of moderate widths we observe
a strong trend towards mean-field-type ferromagnetic correlations at a zigzag
edge. These correlations are accompanied by a dominant low-energy peak in the
local spectral function and we propose that this can be used to detect
edge-state magnetism by scanning tunneling microscopy. The dynamic spin
structure factor at the edge of a ribbon exhibits an approximately linearly
dispersing collective magnonlike mode at low energies that decays into Stoner
modes beyond the energy scale where it merges into the particle-hole continuum.Comment: 4+ pages including 4 figure
Fireball/Blastwave Model and Soft Gamma-ray Repeaters
Soft gamma-ray repeaters are at determined distances and their positions are
known accurately. If observed, afterglows from their soft gamma-ray bursts will
provide important clues to the study of the so called "classical gamma-ray
bursts". On applying the popular fireball/blastwave model of classical
gamma-ray bursts to soft gamma-ray repeaters, it is found that their X-ray and
optical afterglows are detectable. Monitoring of the three repeaters is
solicited.Comment: Already published in 1998 in "Chinese Physics Letters", replaced with
the published version. See astro-ph/0502452 for a more detailed versio
Exotic phases of interacting p-band bosons
We study a model of interacting bosons that occupy the first excited p-band
states of a two-dimensional optical lattice. In contrast to the much studied
single band Bose-Hubbard Hamiltonian, this more complex model allows for
non-trivial superfluid phases associated with condensation at non-zero momentum
and staggered order of the orbital angular momentum in addition to the
superfluid-Mott insulator transition. More specifically, we observe staggered
orbital angular momentum order in the Mott phase at commensurate filling and
superfluidity at all densities. We also observe a transition between the
staggered angular momentum superfluid phase and a striped superfluid, with an
alternation of the phase of the superfluid along one direction. The transition
between these two phases was observed in a recent experiment, which is then
qualitatively well described by our model.Comment: 8 pages, 12 figure
Magnetism of Finite Graphene Samples: Mean-Field Theory compared with Exact Diagonalization and Quantum Monte Carlo Simulation
The magnetic properties of graphene on finite geometries are studied using a
self-consistent mean-field theory of the Hubbard model. This approach is known
to predict ferromagnetic edge states close to the zig-zag edges in single-layer
graphene quantum dots and nanoribbons. In order to assess the accuracy of this
method, we perform complementary exact diagonalization and quantum Monte Carlo
simulations. We observe good quantitative agreement for all quantities
investigated provided that the Coulomb interaction is not too strong.Comment: 5 pages including 3 figures; v3: error concerning middle panel of
Fig. 3 correcte
Computational study of structural and elastic properties of random AlGaInN alloys
In this work we present a detailed computational study of structural and
elastic properties of cubic AlGaInN alloys in the framework of Keating valence
force field model, for which we perform accurate parametrization based on state
of the art DFT calculations. When analyzing structural properties, we focus on
concentration dependence of lattice constant, as well as on the distribution of
the nearest and the next nearest neighbour distances. Where possible, we
compare our results with experiment and calculations performed within other
computational schemes. We also present a detailed study of elastic constants
for AlGaInN alloy over the whole concentration range. Moreover, we include
there accurate quadratic parametrization for the dependence of the alloy
elastic constants on the composition. Finally, we examine the sensitivity of
obtained results to computational procedures commonly employed in the Keating
model for studies of alloys
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