316 research outputs found
Broken unitarity and phase measurements in Aharonov-Bohm interferometers
Aharonov-Bohm mesoscopic solid-state interferometers yield a conductance
which contains a term , where relates to the magnetic
flux. Experiments with a quantum dot on one of the interfering paths aim to
relate to the dot's intrinsic Friedel transmission phase, .
For closed systems, which conserve the electron current (unitarity), the
Onsager relation requires that . For open systems, we show that
depends in general on the details of the broken unitarity. Although it
gives information on the resonances of the dot, is generally not equal
to . A direct relation between and requires
specific ways of opening the system, which are discussed.Comment: 4 pages, 3 figures(eps). Phys. Rev. Letters (in press
Channel Interference in a Quasi Ballistic Aharonov-Bohm Experiment
New experiments are presented on the transmission of electron waves through a
2DEG (2 dimensional electron gas) ring with a gate on top of one of the
branches. Magnetoconductance oscillations are observed, and the phase of the
Aharanov-Bohm signal alternates between 0 and pi as the gate voltage is
scanned. A Fourier transform of the data reveals a dominant period in the
voltage which corresponds to the energy spacing between successive transverse
modes.A theoretical model including random phase shifts between successive
modes reproduces the essential features of the experiment.Comment: 4 pages, 6 Postscript figures, TEX, submitted to Physical Review
Letter
An Electronic Mach-Zehnder Interferometer
Double-slit electron interferometers, fabricated in high mobility
two-dimensional electron gas (2DEG), proved to be very powerful tools in
studying coherent wave-like phenomena in mesoscopic systems. However, they
suffer from small fringe visibility due to the many channels in each slit and
poor sensitivity to small currents due to their open geometry. Moreover, the
interferometers do not function in a high magnetic field, namely, in the
quantum Hall effect (QHE) regime, since it destroys the symmetry between left
and right slits. Here, we report on the fabrication and operation of a novel,
single channel, two-path electron interferometer that functions in a high
magnetic field. It is the first electronic analog of the well-known optical
Mach-Zehnder (MZ) interferometer. Based on single edge state and closed
geometry transport in the QHE regime the interferometer is highly sensitive and
exhibits very high visibility (62%). However, the interference pattern decays
precipitously with increasing electron temperature or energy. While we do not
understand the reason for the dephasing we show, via shot noise measurement,
that it is not a decoherence process that results from inelastic scattering
events.Comment: to appear in Natur
Transmission Phase Shift of a Quantum Dot with Kondo Correlations
We study the effects of Kondo correlations on the transmission phase shift of
a quantum dot in an Aharonov-Bohm ring. We predict in detail how the
development of a Kondo resonance should affect the dependence of the phase
shift on transport voltage, gate voltage and temperature. This system should
allow the first direct observation of the well-known scattering phase shift of
pi/2 expected (but not directly measurable in bulk systems) at zero temperature
for an electron scattering off a spin-1/2 impurity that is screened into a
singlet.Comment: 4 pages Revtex, 4 figures, final published versio
Interference and zero-bias anomaly in tunneling between Luttinger-liquid wires
We present theoretical calculations and experimental measurements which
reveal the Luttinger-liquid (LL) nature of elementary excitations in a system
consisting of two quantum wires connected by a long narrow tunnel junction at
the edge of a GaAs/AlGaAs bilayer heterostructure. The boundaries of the wires
are important and lead to a characteristic interference pattern in measurements
on short junctions. We show that the experimentally observed modulation of the
conductance oscillation amplitude as a function of the voltage bias can be
accounted for by spin-charge separation of the elementary excitations in the
interacting wires. Furthermore, boundaries affect the LL exponents of the
voltage and temperature dependence of the tunneling conductance at low
energies. We show that the measured temperature dependence of the conductance
zero-bias dip as well as the voltage modulation of the conductance oscillation
pattern can be used to extract the electron interaction parameters in the
wires.Comment: 17 pages, 12 figure
Spin-charge separation and localization in one-dimension
We report on measurements of quantum many-body modes in ballistic wires and
their dependence on Coulomb interactions, obtained from tunneling between two
parallel wires in a GaAs/AlGaAs heterostructure while varying electron density.
We observe two spin modes and one charge mode of the coupled wires, and map the
dispersion velocities of the modes down to a critical density, at which
spontaneous localization is observed. Theoretical calculations of the charge
velocity agree well with the data, although they also predict an additional
charge mode that is not observed. The measured spin velocity is found to be
smaller than theoretically predicted.Comment: There are minor textual differences between this version and the
version that has been published in Science (follow the DOI link below to
obtain it). In addition, here we have had to reduce figure quality to save
space on the serve
Observation of Quantum Asymmetry in an Aharonov-Bohm Ring
We have investigated the Aharonov-Bohm effect in a one-dimensional
GaAs/GaAlAs ring at low magnetic fields. The oscillatory magnetoconductance of
these systems are for the first time systematically studied as a function of
density. We observe phase-shifts of in the magnetoconductance
oscillations, and halving of the fundamental period, as the density is
varied. Theoretically we find agreement with the experiment, by introducing an
asymmetry between the two arms of the ring.Comment: 4 pages RevTex including 3 figures, submitted to Phys. Rev.
Experimental Evidence for Resonant-Tunneling in a Luttinger-Liquid
We have measured the low temperature conductance of a one-dimensional island
embedded in a single mode quantum wire. The quantum wire is fabricated using
the cleaved edge overgrowth technique and the tunneling is through a single
state of the island. Our results show that while the resonance line shape fits
the derivative of the Fermi function the intrinsic line width decreases in a
power law fashion as the temperature is reduced. This behavior agrees
quantitatively with Furusaki's model for resonant tunneling in a
Luttinger-liquid.Comment: 3 pages, 5 figures, corrected typo
Many Body Effects on Electron Tunneling through Quantum Dots in an Aharonov-Bohm Circuit
Tunneling conductance of an Aharonov-Bohm circuit including two quantum dots
is calculated based on the general expression of the conductance in the linear
response regime of the bias voltage. The calculation is performed in a wide
temperature range by using numerical renormalization group method. Various
types of AB oscillations appear depending on the temperature and the potential
depth of the dots. Especially, AB oscillations have strong higher harmonics
components as a function of the magnetic flux when the potential of the dots is
deep. This is related to the crossover of the spin state due to the Kondo
effect on quantum dots. When the temperature rises up, the amplitude of the AB
oscillations becomes smaller reflecting the breaking of the coherency.Comment: 21 pages, 11 PostScript figures, LaTeX, uses jpsj.sty epsbox.st
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