77 research outputs found
Realistic modelling of quantum point contacts subject to high magnetic fields and with current bias at out of linear response regime
The electron and current density distributions in the close proximity of
quantum point contacts (QPCs) are investigated. A three dimensional Poisson
equation is solved self-consistently to obtain the electron density and
potential profile in the absence of an external magnetic field for gate and
etching defined devices. We observe the surface charges and their apparent
effect on the confinement potential, when considering the (deeply) etched QPCs.
In the presence of an external magnetic field, we investigate the formation of
the incompressible strips and their influence on the current distribution both
in the linear response and out of linear response regime. A spatial asymmetry
of the current carrying incompressible strips, induced by the large source
drain voltages, is reported for such devices in the non-linear regime.Comment: 16 Pages, 9 Figures, submitted to PR
Self-consistent Coulomb picture of an electron-electron bilayer system
In this work we implement the self-consistent Thomas-Fermi approach and a
local conductivity model to an electron-electron bilayer system. The presence
of an incompressible strip, originating from screening calculations at the top
(or bottom) layer is considered as a source of an external potential
fluctuation to the bottom (or top) layer. This essentially yields modifications
to both screening properties and the magneto-transport quantities. The effect
of the temperature, inter-layer distance and density mismatch on the density
and the potential fluctuations are investigated. It is observed that the
existence of the incompressible strips plays an important role simply due to
their poor screening properties on both screening and the magneto-resistance
(MR) properties. Here we also report and interpret the observed MR Hysteresis
within our model.Comment: 12 pages, 12 figures, submitted to PR
Anomalous resistance overshoot in the integer quantum Hall effect
In this work we report experiments on defined by shallow etching narrow Hall
bars. The magneto-transport properties of intermediate mobility two-dimensional
electron systems are investigated and analyzed within the screening theory of
the integer quantized Hall effect. We observe a non-monotonic increase of Hall
resistance at the low magnetic field ends of the quantized plateaus, known as
the overshoot effect. Unexpectedly, for Hall bars that are defined by shallow
chemical etching the overshoot effect becomes more pronounced at elevated
temperatures. We observe the overshoot effect at odd and even integer plateaus,
which favor a spin independent explanation, in contrast to discussion in the
literature. In a second set of the experiments, we investigate the overshoot
effect in gate defined Hall bar and explicitly show that the amplitude of the
overshoot effect can be directly controlled by gate voltages. We offer a
comprehensive explanation based on scattering between evanescent incompressible
channels.Comment: 7 pages and 5 figure
Incompressible strips in dissipative Hall bars as origin of quantized Hall plateaus
We study the current and charge distribution in a two dimensional electron
system, under the conditions of the integer quantized Hall effect, on the basis
of a quasi-local transport model, that includes non-linear screening effects on
the conductivity via the self-consistently calculated density profile. The
existence of ``incompressible strips'' with integer Landau level filling factor
is investigated within a Hartree-type approximation, and non-local effects on
the conductivity along those strips are simulated by a suitable averaging
procedure. This allows us to calculate the Hall and the longitudinal resistance
as continuous functions of the magnetic field B, with plateaus of finite widths
and the well-known, exactly quantized values. We emphasize the close relation
between these plateaus and the existence of incompressible strips, and we show
that for B values within these plateaus the potential variation across the Hall
bar is very different from that for B values between adjacent plateaus, in
agreement with recent experiments.Comment: 13 pages, 11 figures, All color onlin
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