3,293 research outputs found
Field-induced breakdown of the quantum Hall effect
A numerical analysis is made of the breakdown of the quantum Hall effect
caused by the Hall electric field in competition with disorder. It turns out
that in the regime of dense impurities, in particular, the number of localized
states decreases exponentially with the Hall field, with its dependence on the
magnetic and electric field summarized in a simple scaling law. The physical
picture underlying the scaling law is clarified. This intra-subband process,
the competition of the Hall field with disorder, leads to critical breakdown
fields of magnitude of a few hundred V/cm, consistent with observations, and
accounts for their magnetic-field dependence \propto B^{3/2} observed
experimentally. Some testable consequences of the scaling law are discussed.Comment: 7 pages, Revtex, 3 figures, to appear in Phys. Rev.
Search for a simultaneous signal from small transient events in the Pierre Auger Observatory and the Tupi muon telescopes
We present results of a search for a possible signal from small scale solar
transient events (such as flares and interplanetary shocks) as well as possible
counterparts to Gamma-Ray Burst (GRB) observed simultaneously by the Tupi muon
telescope Niteroi-Brazil, 22.90S, 43.20W, 3 m above sea level) and the Pierre
Auger Observatory surface detectors (Malargue-Argentina, 69.30S, 35.30W,
altitude 1400 m). Both cosmic ray experiments are located inside the South
Atlantic Anomaly (SAA) region. Our analysis of several examples shows
similarities in the behavior of the counting rate of low energy (above 100 MeV)
particles in association with the solar activity (solar flares and
interplanetary shocks). We also report an observation by the Tupi experiment of
the enhancement of muons at ground level with a significance higher than 8
sigma in the 1-sec binning counting rate (raw data) in close time coincidence
(T-184 sec) with the Swift-BAT GRB110928B (trigger=504307). The GRB 110928B
coordinates are in the field of view of the vertical Tupi telescope, and the
burst was close to the MAXI source J1836-194. The 5-min muon counting rate in
the vertical Tupi telescope as well as publicly available data from Auger (15
minutes averages of the scaler rates) show small peaks above the background
fluctuations at the time following the Swift-BAT GRB 110928B trigger. In
accordance with the long duration trigger, this signal can possibly suggest a
long GRB, with a precursor narrow peak at T-184 sec.Comment: 9 pages, 13 figure
Magnetic Field Induced Insulating Phases at Large
Exploring a backgated low density two-dimensional hole sample in the large
regime we found a surprisingly rich phase diagram. At the highest
densities, beside the , 2/3, and 2/5 fractional quantum Hall states,
we observe both of the previously reported high field insulating and reentrant
insulating phases. As the density is lowered, the reentrant insulating phase
initially strengthens, then it unexpectedly starts weakening until it
completely dissapears. At the lowest densities the terminal quantum Hall state
moves from to . The intricate behavior of the insulating
phases can be explained by a non-monotonic melting line in the -
phase space
Coulomb Drag near the metal-insulator transition in two-dimensions
We studied the drag resistivity between dilute two-dimensional hole systems,
near the apparent metal-insulator transition. We find the deviations from the
dependence of the drag to be independent of layer spacing and
correlated with the metalliclike behavior in the single layer resistivity,
suggesting they both arise from the same origin. In addition, layer spacing
dependence measurements suggest that while the screening properties of the
system remain relatively independent of temperature, they weaken significantly
as the carrier density is reduced. Finally, we demonstrate that the drag itself
significantly enhances the metallic dependence in the single layer
resistivity.Comment: 6 pages, 5 figures; revisions to text, to appear in Phys. Rev.
Magnetic von-Neumann lattice for two-dimensional electrons in the magnetic field
One-particle eigenstates and eigenvalues of two-dimensional electrons in the
strong magnetic field with short range impurity and impurities, cosine
potential, boundary potential, and periodic array of short range potentials are
obtained by magnetic von-Neumann lattice in which Landau level wave functions
have minimum spatial extensions. We find that there is a dual correspondence
between cosine potential and lattice kinetic term and that the representation
based on the von-Neumann lattice is quite useful for solving the system's
dynamics.Comment: 21pages, figures not included, EPHOU-94-00
Valley splitting of Si/SiGe heterostructures in tilted magnetic fields
We have investigated the valley splitting of two-dimensional electrons in
high quality Si/SiGe heterostructures under tilted magnetic fields.
For all the samples in our study, the valley splitting at filling factor
() is significantly different before and after the
coincidence angle, at which energy levels cross at the Fermi level. On both
sides of the coincidence, a linear density dependence of on the
electron density was observed, while the slope of these two configurations
differs by more than a factor of two. We argue that screening of the Coulomb
interaction from the low-lying filled levels, which also explains the observed
spin-dependent resistivity, is responsible for the large difference of
before and after the coincidence.Comment: REVTEX 4 pages, 4 figure
Singularities of Lagrangian mean curvature flow: zero-Maslov class case
We study singularities of Lagrangian mean curvature flow in \C^n when the
initial condition is a zero-Maslov class Lagrangian. We start by showing that,
in this setting, singularities are unavoidable. More precisely, we construct
Lagrangians with arbitrarily small Lagrangian angle and Lagrangians which are
Hamiltonian isotopic to a plane that, nevertheless, develop finite time
singularities under mean curvature flow.
We then prove two theorems regarding the tangent flow at a singularity when
the initial condition is a zero-Maslov class Lagrangian. The first one (Theorem
A) states that that the rescaled flow at a singularity converges weakly to a
finite union of area-minimizing Lagrangian cones. The second theorem (Theorem
B) states that, under the additional assumptions that the initial condition is
an almost-calibrated and rational Lagrangian, connected components of the
rescaled flow converges to a single area-minimizing Lagrangian cone, as opposed
to a possible non-area-minimizing union of area-minimizing Lagrangian cones.
The latter condition is dense for Lagrangians with finitely generated
.Comment: 34 pages. 3 figures. To appear in Inventione
Reorientation of Anisotropy in a Square Well Quantum Hall Sample
We have measured magnetotransport at half-filled high Landau levels in a
quantum well with two occupied electric subbands. We find resistivities that
are {\em isotropic} in perpendicular magnetic field but become strongly {\em
anisotropic} at = 9/2 and 11/2 on tilting the field. The anisotropy
appears at an in-plane field, 2.5T, with the easy-current
direction {\em parallel} to but rotates by 90 at 10T and points now in the same direction as in single-subband samples.
This complex behavior is in quantitative agreement with theoretical
calculations based on a unidirectional charge density wave state model.Comment: 4 pages, 4 figure
Mean Curvature Flow of Spacelike Graphs
We prove the mean curvature flow of a spacelike graph in of a map from a closed Riemannian
manifold with to a complete Riemannian manifold
with bounded curvature tensor and derivatives, and with
sectional curvatures satisfying , remains a spacelike graph,
exists for all time, and converges to a slice at infinity. We also show, with
no need of the assumption , that if , or if and
, constant, any map is trivially
homotopic provided where
, in case , and
in case . This largely extends some known results for
constant and compact, obtained using the Riemannian structure
of , and also shows how regularity theory on the mean
curvature flow is simpler and more natural in pseudo-Riemannian setting then in
the Riemannian one.Comment: version 5: Math.Z (online first 30 July 2010). version 4: 30 pages:
we replace the condition by the the weaker one .
The proofs are essentially the same. We change the title to a shorter one. We
add an applicatio
- …