3,541 research outputs found
Magnetoconductance of the quantum spin Hall state
We study numerically the edge magnetoconductance of a quantum spin Hall
insulator in the presence of quenched nonmagnetic disorder. For a finite
magnetic field B and disorder strength W on the order of the bulk gap E_g, the
conductance deviates from its quantized value in a manner which appears to be
linear in |B| at small B. The observed behavior is in qualitative agreement
with the cusp-like features observed in recent magnetotransport measurements on
HgTe quantum wells. We propose a dimensional crossover scenario as a function
of W, in which for weak disorder W < E_g the edge liquid is analogous to a
disordered spinless 1D quantum wire, while for strong disorder W > E_g, the
disorder causes frequent virtual transitions to the 2D bulk, where the
originally 1D edge electrons can undergo 2D diffusive motion and 2D
antilocalization.Comment: 5 pages, 3 figure
Quantitative Test of SO(5) Symmetry in the Vortex State of
By numerically solving models with competing superconducting and
antiferromagnetic orders, we study the magnetic field dependence of the
antiferromagnetic moment in both the weak and strong field regimes. Through a
omparison with the neutron scattering results of Kang et al and Matsuura et
al.on , we conclude that this system is close to a
SO(5) symmetric critical point. We also make a quantitative prediction on
increasing the upper critical field and the superconducting transition
temperature by applying an in-plane magnetic field.Comment: 4 pages, 3 figures v3: final version PRL 92, 107002 (2004
Global Phase Diagram of the High Tc Cuprates
The high Tc cuprates have a complex phase diagram with many competing phases.
We propose a bosonic effective quantum Hamiltonian based on the projected SO(5)
model with extended interactions, which can be derived from the microscopic
models of the cuprates. The global phase diagram of this model is obtained
using mean-field theory and the Quantum Monte Carlo simulation, which is
possible because of the absence of the minus sign problem. We show that this
single quantum model can account for most salient features observed in the high
Tc cuprates, with different families of the cuprates attributed to different
traces in the global phase diagram. Experimental consequences are discussed and
new theoretical predictions are presented.Comment: 19 pages, 20 figures, with updated references, final versio
Theory, models and biology
Theoretical ideas have a rich history in many areas of biology, and new theories and mathematical models have much to offer in the future
Profiling time course expression of virus genes---an illustration of Bayesian inference under shape restrictions
There have been several studies of the genome-wide temporal transcriptional
program of viruses, based on microarray experiments, which are generally useful
in the construction of gene regulation network. It seems that biological
interpretations in these studies are directly based on the normalized data and
some crude statistics, which provide rough estimates of limited features of the
profile and may incur biases. This paper introduces a hierarchical Bayesian
shape restricted regression method for making inference on the time course
expression of virus genes. Estimates of many salient features of the expression
profile like onset time, inflection point, maximum value, time to maximum
value, area under curve, etc. can be obtained immediately by this method.
Applying this method to a baculovirus microarray time course expression data
set, we indicate that many biological questions can be formulated
quantitatively and we are able to offer insights into the baculovirus biology.Comment: Published in at http://dx.doi.org/10.1214/09-AOAS258 the Annals of
Applied Statistics (http://www.imstat.org/aoas/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Hall Effect in the coma of 67P/Churyumov-Gerasimenko
Magnetohydrodynamics simulations have been carried out in studying the solar
wind and cometary plasma interactions for decades. Various plasma boundaries
have been simulated and compared well with observations for comet 1P/Halley.
The Rosetta mission, which studies comet 67P/Churyumov-Gerasimenko, challenges
our understanding of the solar wind and comet interactions. The Rosetta Plasma
Consortium observed regions of very weak magnetic field outside the predicted
diamagnetic cavity. In this paper, we simulate the inner coma with the Hall
magnetohydrodynamics equations and show that the Hall effect is important in
the inner coma environment. The magnetic field topology becomes complex and
magnetic reconnection occurs on the dayside when the Hall effect is taken into
account. The magnetic reconnection on the dayside can generate weak magnetic
filed regions outside the global diamagnetic cavity, which may explain the
Rosetta Plasma Consortium observations. We conclude that the substantial change
in the inner coma environment is due to the fact that the ion inertial length
(or gyro radius) is not much smaller than the size of the diamagnetic cavity.Comment: 23 pages, 6 figur
Critical phenomena in disc-percolation model and its application to relativistic heavy ion collisions
Through studying the critical phenomena in continuum-percolation of discs, we
find a new approach to locate the critical point, i.e. using the inflection
point of as an evaluation of the percolation threshold. The
susceptibility, defined as the derivative of , possess finite-size
scaling property, where the scaling exponent is the reciprocal of -- the
critical exponent of correlation length. The possible application of this
approach to the study of the critical phenomena in relativistic heavy ion
collisions is discussed. The critical point for deconfinement can be extracted
by the inflection point of -- the probability for the event with
QGP formation. The finite-size scaling of its derivative can give the critical
exponent , which is a rare case that can provide an experimental measure
of a critical exponent in heavy ion collisions.Comment: 5 pages, 7 figure
Light anti-nuclei production in pp collisions at =7 and 14 TeV
A dynamically constrained coalescence model based on the phase space
quantization and classical limit method was proposed to investigate the
production of light nuclei (anti-nuclei) in non-single diffractive (NSD) pp
collisions at =7 and 14 TeV. This calculation was based on the final
hadronic state in the PYTHIA and PACIAE model simulations, the event sample
consisted of 1.2 events in both simulations. The PACIAE model
calculated yield of 6.247 in NSD pp collisions at
=7 TeV is well comparing with the ALICE rough datum of 5.456. It indicated the reliability of proposed method in some extent. The
yield, transverse momentum distribution, and rapidity distribution of the , , and in NSD pp collisions at
=7 and 14 TeV were predicted by PACIAE and PYTHIA model simulations.
The yield resulted from PACIAE model simulations is larger than the one from
PYTHIA model. This might reflect the role played by the parton and hadron
rescatterings.Comment: 5 pages, 2 figure
Vortex configurations of bosons in an optical lattice
The single vortex problem in a strongly correlated bosonic system is
investigated self-consistently within the mean-field theory of the Bose-Hubbard
model. Near the superfluid-Mott transition, the vortex core has a tendency
toward the Mott-insulating phase, with the core particle density approaching
the nearest commensurate value. If the nearest neighbor repulsion exists, the
charge density wave order may develop locally in the core. The evolution of the
vortex configuration from the strong to weak coupling regions is studied. This
phenomenon can be observed in systems of rotating ultra-cold atoms in optical
lattices and Josephson junction arraysComment: 4 pages, 4 figs, Accepted by Physics Review
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