2,870 research outputs found
Mutual exclusion statistics between quasiparticles in the fractional quantum Hall effect
Journal ArticleIn this paper we propose a new assignment for mutual exclusion statistics between quasielectrons and quasiholes in the fractional quantum Hall effect. In addition to providing numerical evidence for this assignment, we show that the physical origin of this mutual statistics is a novel hard-core constraint due to correlation between the distinguishable vortexlike quasiparticles
Data-Driven Optimal Shrinkage of Singular Values under High-Dimensional Noise with Separable Covariance Structure
We develop a data-driven optimal shrinkage algorithm for matrix denoising in
the presence of high-dimensional noise with separable covariance structure;
that is, the nose is colored and dependent. The algorithm, coined extended
OptShrink (eOptShrink), involves a new imputation and rank estimation and we do
not need to estimate the separable covariance structure of the noise. On the
theoretical side, we study the asymptotic behavior of singular values and
singular vectors of the random matrix associated with the noisy data, including
the sticking property of non-outlier singular values and delocalization of the
non-outlier singular vectors with a convergence rate. We apply these results to
establish the guarantee of the imputation, rank estimation and eOptShrink
algorithm with a convergence rate. On the application side, in addition to a
series of numerical simulations with a comparison with various state-of-the-art
optimal shrinkage algorithms, we apply eOptShrink to extract fetal
electrocardiogram from the single channel trans-abdominal maternal
electrocardiogram.Comment: arXiv admin note: text overlap with arXiv:1905.13060 by other author
Production of the triply heavy and baryons at colliders
Non-relativistic quantum chromodynamics (NRQCD) factorization formulism is an
important approach to investigate the production of the heavy quarkonium. In
this paper, we study the production of the and at
the collider, using the NRQCD factorization formulism. We calculate
the total and differential cross sections exactly of the processes,
and , in the leading order at the
colliders with different energies. The results show that it is hard to observe
them at the collider directly
The diverse magneto-optical selection rules in bilayer black phosphorus
The magneto-optical properties of bilayer phosphorene is investigated by the
generalized tight-binding model and the gradient approximation. The vertical
inter-Landau-level transitions, being sensitive to the polarization directions,
are mainly determined by the spatial symmetries of sub-envelope functions on
the distinct sublattices. The anisotropic excitations strongly depend on the
electric and magnetic fields. A perpendicular uniform electric field could
greatly diversify the selection rule, frequency, intensity, number and form of
symmetric absorption peaks. Specifically, the unusual magneto-optical
properties appear beyond the critical field as a result of two subgroups of
Landau levels with the main and side modes. The rich and unique
magneto-absorption spectra arise from the very close relations among the
geometric structures, multiple intralayer and interlayer hopping integrals, and
composite external fields
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