150 research outputs found
Measurement of filling factor 5/2 quasiparticle interference: observation of charge e/4 and e/2 period oscillations
A standing problem in low dimensional electron systems is the nature of the
5/2 fractional quantum Hall state: its elementary excitations are a focus for
both elucidating the state's properties and as candidates in methods to perform
topological quantum computation. Interferometric devices may be employed to
manipulate and measure quantum Hall edge excitations. Here we use a small area
edge state interferometer designed to observe quasiparticle interference
effects. Oscillations consistent in detail with the Aharanov-Bohm effect are
observed for integer and fractional quantum Hall states (filling factors 2,
5/3, and 7/3) with periods corresponding to their respective charges and
magnetic field positions. With these as charge calibrations, at 5/2 filling
factor and at lowest temperatures periodic transmission through the device
consistent with quasiparticle charge e/4 is observed. The principal finding of
this work is that in addtion to these e/4 oscillations, periodic structures
corresponding to e/2 are also observed at 5/2 and at lowest temperatures.
Properties of the e/4 and e/2 oscillations are examined with the device
sensitivity sufficient to observe temperature evolution of the 5/2
quasiparticle interference. In the model of quasiparticle interference, this
presence of an effective e/2 period may empirically reflect an e/2
quasiparticle charge, or may reflect multiple passes of the e/4 quasiparticle
around the interferometer. These results are discussed within a picture of e/4
quasiparticle excitations potentially possessing non-Abelian statistics. These
studies demonstrate the capacity to perform interferometry on 5/2 excitations
and reveal properties important for understanding this state and its
excitations.Comment: version 3 contains additional data beyond version 2, 26 pages, 8
figures PNAS 081259910
Resonant Josephson current through a quantum dot
We calculate the DC Josephson current through a semiconducting quantum dot
which is weakly coupled by tunnel barriers to two superconducting reservoirs. A
Breit-Wigner resonance in the conductance corresponds to a resonance in the
critical current, but with a different (non-lorentzian) lineshape.Comment: 5 pages including 1 figure; this paper was published in the
proceedings of SQUID'91; it is archived here because of its relevance to
cond-mat/011148
Coulomb-Regulated Conductance Oscillations in a Disordered Quantum Wire
Wetensch. publicatieFaculteit der Wiskunde en Natuurwetenschappe
Observing Majorana bound states of Josephson vortices in topological superconductors
In recent years there has been an intensive search for Majorana fermion
states in condensed matter systems. Predicted to be localized on cores of
vortices in certain non-conventional superconductors, their presence is known
to render the exchange statistics of bulk vortices non-Abelian. Here we study
the equations governing the dynamics of phase solitons (fluxons) in a long
Josephson junction in a topological superconductor. We show that the fluxon
will bind a localized zero energy Majorana mode and will consequently behave as
a non-Abelian anyon. The low mass of the fluxon, as well as its experimentally
observed quantum mechanical wave-like nature, will make it a suitable candidate
for vortex interferometry experiments demonstrating non-Abelian statistics. We
suggest two experiments that may reveal the presence of the zero mode carried
by the fluxon. Specific experimental realizations will be discussed as well.Comment: 10 pages, 3 figures, published version (title modified
Three "universal" mesoscopic Josephson effects
1. Introduction
2. Supercurrent from Excitation Spectrum
3. Excitation Spectrum from Scattering Matrix
4. Short-Junction Limit
5. Universal Josephson Effects
5.1 Quantum Point Contact
5.2 Quantum Dot
5.3 Disordered Point Contact (Average supercurrent, Supercurrent
fluctuations)Comment: 21 pages, 2 figures; legacy revie
Oscillating Transverse Voltage in a Channel with Quantum Point Contact Voltage Probes
Wetensch. publicatieFaculteit der Wiskunde en Natuurwetenschappe
Quantum Point Contacts and Coherent Electron Focusing
I. Introduction
II. Electrons at the Fermi level
III. Conductance quantization of a quantum point contact
IV. Optical analogue of the conductance quantization
V. Classical electron focusing
VI. Electron focusing as a transmission problem
VII. Coherent electron focusing (Experiment, Skipping orbits and magnetic
edge states, Mode-interference and coherent electron focusing)
VIII. Other mode-interference phenomenaComment: #3 of a series of 4 legacy reviews on QPC'
Conduction of Ultracold Fermions Through a Mesoscopic Channel
In a mesoscopic conductor electric resistance is detected even if the device
is defect-free. We engineer and study a cold-atom analog of a mesoscopic
conductor. It consists of a narrow channel connecting two macroscopic
reservoirs of fermions that can be switched from ballistic to diffusive. We
induce a current through the channel and find ohmic conduction, even for a
ballistic channel. An analysis of in-situ density distributions shows that in
the ballistic case the chemical potential drop occurs at the entrance and exit
of the channel, revealing the presence of contact resistance. In contrast, a
diffusive channel with disorder displays a chemical potential drop spread over
the whole channel. Our approach opens the way towards quantum simulation of
mesoscopic devices with quantum gases
Unexpected features of branched flow through high-mobility two-dimensional electron gases
GaAs-based two-dimensional electron gases (2DEGs) show a wealth of remarkable
electronic states, and serve as the basis for fast transistors, research on
electrons in nanostructures, and prototypes of quantum-computing schemes. All
these uses depend on the extremely low levels of disorder in GaAs 2DEGs, with
low-temperature mean free paths ranging from microns to hundreds of microns.
Here we study how disorder affects the spatial structure of electron transport
by imaging electron flow in three different GaAs/AlGaAs 2DEGs, whose mobilities
range over an order of magnitude. As expected, electrons flow along narrow
branches that we find remain straight over a distance roughly proportional to
the mean free path. We also observe two unanticipated phenomena in
high-mobility samples. In our highest-mobility sample we observe an almost
complete absence of sharp impurity or defect scattering, indicated by the
complete suppression of quantum coherent interference fringes. Also, branched
flow through the chaotic potential of a high-mobility sample remains stable to
significant changes to the initial conditions of injected electrons.Comment: 22 pages, 4 figures, 1 tabl
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