6,772 research outputs found
Electron Spectral Functions of Reconstructed Quantum Hall Edges
During the reconstruction of the edge of a quantum Hall liquid, Coulomb
interaction energy is lowered through the change in the structure of the edge.
We use theory developed earlier by one of the authors [K. Yang, Phys. Rev.
Lett. 91, 036802 (2003)] to calculate the electron spectral functions of a
reconstructed edge, and study the consequences of the edge reconstruction for
the momentum-resolved tunneling into the edge. It is found that additional
excitation modes that appear after the reconstruction produce distinct features
in the energy and momentum dependence of the spectral function, which can be
used to detect the presence of edge reconstruction.Comment: RevTeX, 5 pages, 4 figures; replaced with the published version;
journal reference adde
A simple beam model for the shear failure of interfaces
We propose a novel model for the shear failure of a glued interface between
two solid blocks. We model the interface as an array of elastic beams which
experience stretching and bending under shear load and break if the two
deformation modes exceed randomly distributed breaking thresholds. The two
breaking modes can be independent or combined in the form of a von Mises type
breaking criterion. Assuming global load sharing following the beam breaking,
we obtain analytically the macroscopic constitutive behavior of the system and
describe the microscopic process of the progressive failure of the interface.
We work out an efficient simulation technique which allows for the study of
large systems. The limiting case of very localized interaction of surface
elements is explored by computer simulations.Comment: 11 pages, 13 figure
Supervised Learning Under Distributed Features
This work studies the problem of learning under both large datasets and
large-dimensional feature space scenarios. The feature information is assumed
to be spread across agents in a network, where each agent observes some of the
features. Through local cooperation, the agents are supposed to interact with
each other to solve an inference problem and converge towards the global
minimizer of an empirical risk. We study this problem exclusively in the primal
domain, and propose new and effective distributed solutions with guaranteed
convergence to the minimizer with linear rate under strong convexity. This is
achieved by combining a dynamic diffusion construction, a pipeline strategy,
and variance-reduced techniques. Simulation results illustrate the conclusions
Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement
We study the ground state and low-energy excitations of fractional quantum
Hall systems on a disk at filling fraction , with Coulomb
interaction and background confining potential. We find the Moore-Read ground
state is stable within a finite but narrow window in parameter space. The
corresponding low-energy excitations contain a fermionic branch and a bosonic
branch, with widely different velocities. A short-range repulsive potential can
stabilize a charge quasihole at the center, leading to a different edge
excitation spectrum due to the change of boundary conditions for Majorana
fermions, clearly indicating the non-Abelian nature of the quasihole.Comment: 4 pages, 3 figures. New version shortened for PRL. Corrected typo
New universality class for the fragmentation of plastic materials
We present an experimental and theoretical study of the fragmentation of
polymeric materials by impacting polypropylene particles of spherical shape
against a hard wall. Experiments reveal a power law mass distribution of
fragments with an exponent close to 1.2, which is significantly different from
the known exponents of three-dimensional bulk materials. A 3D discrete element
model is introduced which reproduces both the large permanent deformation of
the polymer during impact, and the novel value of the mass distribution
exponent. We demonstrate that the dominance of shear in the crack formation and
the plastic response of the material are the key features which give rise to
the emergence of the novel universality class of fragmentation phenomena.Comment: 4 pages, 4 figures, appearing in Phys. Rev. Let
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