253 research outputs found
Transport in Almost Integrable Models: Perturbed Heisenberg Chains
The heat conductivity kappa(T) of integrable models, like the one-dimensional
spin-1/2 nearest-neighbor Heisenberg model, is infinite even at finite
temperatures as a consequence of the conservation laws associated with
integrability. Small perturbations lead to finite but large transport
coefficients which we calculate perturbatively using exact diagonalization and
moment expansions. We show that there are two different classes of
perturbations. While an interchain coupling of strength J_perp leads to
kappa(T) propto 1/J_perp^2 as expected from simple golden-rule arguments, we
obtain a much larger kappa(T) propto 1/J'^4 for a weak next-nearest neighbor
interaction J'. This can be explained by a new approximate conservation law of
the J-J' Heisenberg chain.Comment: 4 pages, several minor modifications, title change
Mott transition of fermionic atoms in a three-dimensional optical trap
We study theoretically the Mott metal-insulator transition for a system of
fermionic atoms confined in a three-dimensional optical lattice and a harmonic
trap. We describe an inhomogeneous system of several thousand sites using an
adaptation of dynamical mean field theory solved efficiently with the numerical
renormalization group method. Above a critical value of the on-site
interaction, a Mott-insulating phase appears in the system. We investigate
signatures of the Mott phase in the density profile and in time-of-flight
experiments.Comment: 4 pages and 5 figure
Absorption and Emission in quantum dots: Fermi surface effects of Anderson excitons
Recent experiments measuring the emission of exciton recombination in a
self-organized single quantum dot (QD) have revealed that novel effects occur
when the wetting layer surrounding the QD becomes filled with electrons,
because the resulting Fermi sea can hybridize with the local electron levels on
the dot. Motivated by these experiments, we study an extended Anderson model,
which describes a local conduction band level coupled to a Fermi sea, but also
includes a local valence band level. We are interested, in particular, on how
many-body correlations resulting from the presence of the Fermi sea affect the
absorption and emission spectra. Using Wilson's numerical renormalization group
method, we calculate the zero-temperature absorption (emission) spectrum of a
QD which starts from (ends up in) a strongly correlated Kondo ground state. We
predict two features: Firstly, we find that the spectrum shows a power law
divergence close to the threshold, with an exponent that can be understood by
analogy to the well-known X-ray edge absorption problem. Secondly, the
threshold energy - below which no photon is absorbed (above which no
photon is emitted) - shows a marked, monotonic shift as a function of the
exciton binding energy Comment: 10 pages, 9 figure
Kondo proximity effect: How does a metal penetrate into a Mott insulator?
We consider a heterostructure of a metal and a paramagnetic Mott insulator
using an adaptation of dynamical mean field theory to describe inhomogeneous
systems. The metal can penetrate into the insulator via the Kondo effect. We
investigate the scaling properties of the metal-insulator interface close to
the critical point of the Mott insulator. At criticality, the quasiparticle
weight decays as 1/x^2 with distance x from the metal within our mean field
theory. Our numerical results (using the numerical renormalization group as an
impurity solver) show that the prefactor of this power law is extremely small.Comment: 4 pages, 3 figure
A Systematic Search for Structure-Activity Relationships of Skin Contact Sensitizers: Methodology
A computerized resource for the systematic evaluation of the structure-activity relationships and other aspects of contact allergens is described. This resource consists of a data base of results of contact dermatitis tests and a structural classification scheme for contact allergens that is called a Structure-Activity (S/A) Tree. The data base now contains approximately 2200 test results extracted from the journal Contact Dermatitis (1975–1982) and is continually being expanded. The S/A Tree is being developed to provide an index to structure-activity relationships of contact allergens; 63 structural groups are currently indexed. Analyses of benzoquinones and gallic acid esters are presented as examples of the potential application of this resource to such problems as the identification of potential cross-reactants, appropriate test concentrations and vehicles, and the reliability of available test results
Isospin-0 s-wave scattering length from twisted mass lattice QCD
We present results for the isospin-0 s-wave scattering length
calculated with Osterwalder-Seiler valence quarks on Wilson twisted mass gauge
configurations. We use three ensembles with unitary (valence) pion
mass at its physical value (250MeV), at 240MeV (320MeV) and
at 330MeV (400MeV), respectively. By using the stochastic Laplacian
Heaviside quark smearing method, all quark propagation diagrams contributing to
the isospin-0 correlation function are computed with sufficient
precision. The chiral extrapolation is performed to obtain the scattering
length at the physical pion mass. Our result agrees reasonably well with various experimental measurements and
theoretical predictions. Since we only use one lattice spacing, certain
systematics uncertainties, especially those arising from unitary breaking, are
not controlled in our result.Comment: 21 pages, 5 figures, 6 table
Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
The fermionic Hubbard model plays a fundamental role in the description of
strongly correlated materials. Here we report on the realization of this
Hamiltonian using a repulsively interacting spin mixture of ultracold K
atoms in a 3D optical lattice. We have implemented a new method to directly
measure the compressibility of the quantum gas in the trap using in-situ
imaging and independent control of external confinement and lattice depth.
Together with a comparison to ab-initio Dynamical Mean Field Theory
calculations, we show how the system evolves for increasing confinement from a
compressible dilute metal over a strongly-interacting Fermi liquid into a band
insulating state. For strong interactions, we find evidence for an emergent
incompressible Mott insulating phase.Comment: 21 pages, 5 figures and additional supporting materia
First Physics Results at the Physical Pion Mass from Wilson Twisted Mass Fermions at Maximal Twist
We present physics results from simulations of QCD using dynamical
Wilson twisted mass fermions at the physical value of the pion mass. These
simulations were enabled by the addition of the clover term to the twisted mass
quark action. We show evidence that compared to previous simulations without
this term, the pion mass splitting due to isospin breaking is almost completely
eliminated. Using this new action, we compute the masses and decay constants of
pseudoscalar mesons involving the dynamical up and down as well as valence
strange and charm quarks at one value of the lattice spacing,
fm. Further, we determine renormalized quark masses as well as their
scale-independent ratios, in excellent agreement with other lattice
determinations in the continuum limit. In the baryon sector, we show that the
nucleon mass is compatible with its physical value and that the masses of the
baryons do not show any sign of isospin breaking. Finally, we compute
the electron, muon and tau lepton anomalous magnetic moments and show the
results to be consistent with extrapolations of older ETMC data to the
continuum and physical pion mass limits. We mostly find remarkably good
agreement with phenomenology, even though we cannot take the continuum and
thermodynamic limits.Comment: 45 pages, 15 figure
The Euler-Maruyama approximation for the absorption time of the CEV diffusion
A standard convergence analysis of the simulation schemes for the hitting
times of diffusions typically requires non-degeneracy of their coefficients on
the boundary, which excludes the possibility of absorption. In this paper we
consider the CEV diffusion from the mathematical finance and show how a weakly
consistent approximation for the absorption time can be constructed, using the
Euler-Maruyama scheme
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