RESEARCH PROJECTS
Neutral edge trasport
The quantum Hall effect takes place in a two-dimensional electron gas under a strong magnetic field and involves current flow along the edges of the sample. For some particle-hole conjugate states of the fractional regime, early predictions suggested the presence of counter-propagating edge currents in addition to the expected ones. When this did not agree with the measured conductance, it was suggested that disorder and interactions will lead to counter-propagating modes that carry only energy-the so called neutral modes. In addition, a neutral upstream mode (the Majorana mode) was expected for selected wavefunctions proposed for the even-denominator filling 5/2. We observed counter-propagating neutral modes for fillings of 2/3, 3/5 and 5/2. Now we are in position to investigate these new currents further.
High mobility two dimensional electron gas
One of the most important ingredients of mesoscopic structures is the quality of the 2DEG. We have an extremely pure MBE system, and developed unique grwth processes for obtaining low disorder 2DEG. Record low temperature mobility of 36x106cm2/V-s was measured in the dark. The material exhibits long mean free path of the electrons and a rich structure of fractional states in the fractional quantum Hall regime.
Interference effects in mesoscopic systems
In mesoscopic systems, with size smaller than the dephasing length of the electrons, phase is an important parameter. Building interferometers that function under weak and strong magnetic fields allows studying coherence of electrons and quasi-particles under different conditions. Aharonov-Bohm rings; two-path interferometers; electronic Mach-Zehnder and Fabry-Perot interferometers are being now routinely used.
*References
Interference between two indistinguishable electrons from independent sources
Nature 448, 333 (2007)
An electronic Mach-Zehnder interferometer
Nature 422, 415 (2003)
Unexpected Periodicity in an Electronic Double Slit Interference Experiment
Phys. Rev. Lett. 73, 3149 (1994)
Coherence and Phase Sensitive Measurements in a Quantum Dot
Phys. Rev. Lett. 74, 4047 (1995)
Measurement of Phase and Magnitude of the Reflection Coefficient of a Quantum Dot
Phys. Rev. Lett. 77, 4664 (1996)
Phase rigidity and h/2e oscillations in a single-ring Aharonov-Bohm experiment
Phys. Rev. B 53, 9583 (1996)
Interference between two indistinguishable electrons from independent sources
Nature 448, 333 (2007)
An electronic Mach-Zehnder interferometer
Nature 422, 415 (2003)
Unexpected Periodicity in an Electronic Double Slit Interference Experiment
Phys. Rev. Lett. 73, 3149 (1994)
Coherence and Phase Sensitive Measurements in a Quantum Dot
Phys. Rev. Lett. 74, 4047 (1995)
Measurement of Phase and Magnitude of the Reflection Coefficient of a Quantum Dot
Phys. Rev. Lett. 77, 4664 (1996)
Phase rigidity and h/2e oscillations in a single-ring Aharonov-Bohm experiment
Phys. Rev. B 53, 9583 (1996)
Measuring phase evolution in quantum dots
Utilizing interference the phase of the transmission and reflection amplitudes can be measured. Measurements are done by itroducing the system under study in one arm of a two-path interferometer, while measuring the phase of the interference fringes as function of energy. Detailed studies are performed with quantum dots in the Coulomb Blockade and the Kondo correlated regimes. While the transmission coefficient is commonly understood, the phase seems to present complex behavior, which tends to be very sensitive to detailes and minute correlation effects.
*References
Phase measurement in a quantum dot via a double-slit interference experiment
Nature 385, 417 (1997)
Phase Evolution in a Kondo-Correlated System
Science 290, 779 (2000)
Crossover from 'mesoscopic' to 'universal' phase for electron transmission in quantum dots
Nature 436, 529 (2005)
Phase measurement in a quantum dot via a double-slit interference experiment
Nature 385, 417 (1997)
Phase Evolution in a Kondo-Correlated System
Science 290, 779 (2000)
Crossover from 'mesoscopic' to 'universal' phase for electron transmission in quantum dots
Nature 436, 529 (2005)
Controlled dephasing and Bohr's complementarity principle
With an added 'which path' detector in close proximity to the interferometer, the path the electron chooses can be determined with some certainty. The accuracy of path detection determines the visibility (contrast) of the interference. Utilizing a variety of detectors, such as current and phase detectors, the visibility of the interference fringes could be totally quenched. Moreover, it was demonstrated that it in order to dephase the interferometer, it suffices that the detector should be able to detect the path 'in principle', without an actual measurement taking place.
*References
Dephasing in electron interference by a 'which-path' detector
Nature 391, 871 (1998)
Quantum mechanical complementarity probed in a closed-loop Aharonov-Bohm interferometer
Nature Physics 4, 205 (2008)
Dephasing in electron interference by a 'which-path' detector
Nature 391, 871 (1998)
Quantum mechanical complementarity probed in a closed-loop Aharonov-Bohm interferometer
Nature Physics 4, 205 (2008)
Phase recovery and entanglement
When complete dephasing, due to a nearby path detector is taking place, one can, under certain conditions, recover the 'lost interference' by 'post selction' type mesurements. Performing cross correlation measurements between current fluctuations in the dephased interferometer and the path detector may exhibit the interfernce pattern. Such experiments prove that the total system: interferometer + detector are a single, quantum system, with no loss of information.
*References
Entanglement, Dephasing, and Phase Recovery via Cross-Correlation Measurements of Electrons
Phys. Rev. Lett. 98, 036803 (2007)
Unexpected Behavior in a Two-Path Electron Interferometer
Phys. Rev. Lett. 96, 016804 (2006)
Entanglement, Dephasing, and Phase Recovery via Cross-Correlation Measurements of Electrons
Phys. Rev. Lett. 98, 036803 (2007)
Unexpected Behavior in a Two-Path Electron Interferometer
Phys. Rev. Lett. 96, 016804 (2006)
Studies of fractionally charges quasi-particles in the FQHE regime
A sophisticated measurement system, which is able to measure weak signals of noise (on a large background) was developed. It is composed mainly of a low noise cold preamplifier located inside the dilution refrigerator. Measring shot noise aloowed the determination of the fractional charge of the quasi-particles in the FQHE regime. Earlier measurements determined the so called Laughlin's quasi-particles, e/3, e/5 and e/7, while recent measurements determined the e/4 fractional charges at the (hopefully) non-abelian 5/2 fractional state. A variet of experiments were performed to show the transport properties of these quasi-particles, such as their transport through barriers and their bunching properties. Experiments are now underway to measure the statistics of such fractionally charged quasi-particles. While fractional statsitics is expected for the Laughlin's quasi-particles, a non-abelian one is expected for the e/4 quasi-particles.
*References
Observation of a quarter of an electron charge at the : nu = 5/2 quantum Hall state
Nature 452, 829 (2008)
Observation of quasiparticles with one-fifth of an electron's charge
Nature 399, 238 (1999)
Direct observation of a fractional charge
Nature 389, 162 (1997)
Observation of a quarter of an electron charge at the : nu = 5/2 quantum Hall state
Nature 452, 829 (2008)
Observation of quasiparticles with one-fifth of an electron's charge
Nature 399, 238 (1999)
Direct observation of a fractional charge
Nature 389, 162 (1997)
Growth and characterization of semiconductor nanowires
Recently we lounged a new research activity which is at the cutting edge of the nanoscience – study of the growth and structural properties as well as electrical and optical characteristics of III-V nanowires, in particular GaAs and InAs. The main idea of the project is to develop a novel mesoscopic devices based on high-purity, high-aspect ratio single crystal semiconductor devices. Reduced lateral dimensionality of the nanowires (10 - 100 nm) provides an opportunity for studying new phenomina in 1D charge transport, photonics and nanosize mechanics. The main focus of the research is on the quantum transport phenomena in nanowires, also a significant part of the activity is directed at understanding nanowires growth and material science related issues, such as facilitating the growth of axial and lateral heterostructures. To achieve highest purity and crystalline perfection the nanowires are grown in the dedicated high-purity MBE machine equipped with a treatment chamber which enables in situ application of the gold catalyst which assists the vapor-liquid-solid growth procedure.
*References
Stacking-Faults-Free Zinc Blende GaAs Nanowires
Nano Letters 9, 215 (2009)
Method for Suppression of Stacking Faults in Wurtzite III-V Nanowires
Nano Letters 9, 1506 (2009)
Stacking-Faults-Free Zinc Blende GaAs Nanowires
Nano Letters 9, 215 (2009)
Method for Suppression of Stacking Faults in Wurtzite III-V Nanowires
Nano Letters 9, 1506 (2009)