1,044 research outputs found
Nanowire Acting as a Superconducting Quantum Interference Device
We present the results from an experimental study of the magneto-transport of
superconducting wires of amorphous Indium-Oxide, having widths in the range 40
- 120 nm. We find that, below the superconducting transition temperature, the
wires exhibit clear, reproducible, oscillations in their resistance as a
function of magnetic field. The oscillations are reminiscent of those which
underlie the operation of a superconducting quantum interference device.Comment: 4 pages, 4 figures, 1 tabl
The quantized Hall effect in the presence of resistance fluctuations
We present an experimental study of mesoscopic, two-dimensional electronic
systems at high magnetic fields. Our samples, prepared from a low-mobility
InGaAs/InAlAs wafer, exhibit reproducible, sample specific, resistance
fluctuations. Focusing on the lowest Landau level we find that, while the
diagonal resistivity displays strong fluctuations, the Hall resistivity is free
of fluctuations and remains quantized at its value, . This is
true also in the insulating phase that terminates the quantum Hall series.
These results extend the validity of the semicircle law of conductivity in the
quantum Hall effect to the mesoscopic regime.Comment: Includes more data, changed discussio
Universality at integer quantum Hall transitions
We report in this paper results of experimental and theoretical studies of
transitions between different integer quantum Hall phases, as well as
transition between the insulating phase and quantum Hall phases at high
magnetic fields. We focus mainly on universal properties of the transitions. We
demonstrate that properly defined conductivity tensor is universal at the
transitions. We also present numerical results of a non-interacting electron
model, which suggest that the Thouless conductance is universal at integer
quantum Hall transitions, just like the conductivity tensor. Finite temperature
and system size effects near the transition point are also studied.Comment: 20 pages, 15 figure
Universality in an integer Quantum Hall transition
An integer Quantum Hall effect transition is studied in a modulation doped
p-SiGe sample. In contrast to most examples of such transitions the
longitudinal and Hall conductivities at the critical point are close to 0.5 and
1.5 (e^2/h), the theoretically expected values. This allows the extraction of a
scattering parameter, describing both conductivity components, which depends
exponentially on filling factor. The strong similarity of this functional form
to those observed for transitions into the Hall insulating state and for the
B=0 metal- insulator transition implies a universal quantum critical behaviour
for the transitions. The observation of this behaviour in the integer Quantum
Hall effect, for this particular sample, is attributed to the short-ranged
character of the potential associated with the dominant scatterers
The Quantized Hall Insulator: A New Insulator in Two-Dimensions
Quite generally, an insulator is theoretically defined by a vanishing
conductivity tensor at the absolute zero of temperature. In classical
insulators, such as band insulators, vanishing conductivities lead to diverging
resistivities. In other insulators, in particular when a high magnetic field
(B) is added, it is possible that while the magneto-resistance diverges, the
Hall resistance remains finite, which is known as a Hall insulator. In this
letter we demonstrate experimentally the existence of another, more exotic,
insulator. This insulator, which terminates the quantum Hall effect series in a
two-dimensional electron system, is characterized by a Hall resistance which is
approximately quantized in the quantum unit of resistance h/e^2. This insulator
is termed a quantized Hall insulator. In addition we show that for the same
sample, the insulating state preceding the QHE series, at low-B, is of the HI
kind.Comment: 4 page
Near-Perfect Correlation of the Resistance Components of Mesoscopic Samples at the Quantum Hall Regime
We study the four-terminal resistance fluctuations of mesoscopic samples near
the transition between the and the quantum Hall states. We
observe near-perfect correlations between the fluctuations of the longitudinal
and Hall components of the resistance. These correlated fluctuations appear in
a magnetic-field range for which the two-terminal resistance of the samples is
quantized. We discuss these findings in light of edge-state transport models of
the quantum Hall effect. We also show that our results lead to an ambiguity in
the determination of the width of quantum Hall transitions.Comment: As publishe
Treating Vertical Root Fracture using Plasma-Rich Fibrin: A Case Report
Regenerative Endodontic Procedures (REP) are used to treat apical periodontitis in immature necrotic teeth and promote root maturation. Recently, REP has been speculated to arrest inflammatory external root resorption. Herein, we report the complicated treatment of apical root fracture using Plasma-Rich Fibrin (PRF) in a 12-year-old boy with a history of trauma to the right maxillary central incisor. The tooth was diagnosed to have necrotic pulp accompanied by symptomatic apical periodontitis and was treated with REP using PRF as a scaffold and restored. The tooth was asymptomatic at the 9-month follow-up; however, a sinus tract was detected on the buccal side. Retreatment was performed, and the tooth was filled with an apical plug of mineral trioxide aggregate and gutta-percha. Following the root canal, an apicoectomy was performed. During the surgery, a Vertical Root Fracture (VRF) was detected on the lateral aspect of the root extending to the middle third. The surface of the fracture was cleaned meticulously with a high-speed fine round diamond bur. The VRF was covered with PRF mixed with autologous bone. A follow-up at 57 months revealed a symptomless functioning tooth. This case highlights the importance of making every acceptable effort to preserve a hopeless tooth with VRF in a youngster for a few years and thereby preserve the surrounding alveolar bone
Universality in the Crossover between Edge Channel and Bulk Transport in the Quantum Hall Regime
We present a new theoretical approach for the integer quantum Hall effect,
which is able to describe the inter-plateau transitions as well as the
transition to the Hall insulator. We find two regimes (metallic and insulator
like) of the top Landau level, in which the dissipative bulk current appears in
different directions. The regimes are separated by a temperature invariant
point.Comment: 4 page, 2 eps figures included, submitte
Duality in the Quantum Hall Effect - the Role of Electron Spin
At low temperatures the phase diagram for the quantum Hall effect has a
powerful symmetry arising from the Law of Corresponding States. This symmetry
gives rise to an infinite order discrete group which is a generalisation of
Kramers-Wannier duality for the two dimensional Ising model. The duality group,
which is a subgroup of the modular group, is analysed and it is argued that
there is a quantitative difference between a situation in which the spin
splitting of electron energy levels is comparable to the cyclotron energy and
one in which the spin splitting is much less than the cyclotron energy. In the
former case the group of symmetries is larger than in the latter case. These
duality symmetries are used to constrain the scaling functions of the theory
and, under an assumption of complex meromorphicity, a unique functional form is
obtained for the crossover of the conductivities between Hall states as a
function of the external magnetic field. This analytic form is shown to give
good agreement with experimental data.
The analysis requires a consideration of the way in which longitudinal
resistivities are extracted from the experimentally measured longitudinal
resistances and a novel method is proposed for determining the correct
normalisation for the former.Comment: 22 pages, 8 figures, typeset in LaTe
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