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Nonequilibrium Electron Transport in Quantum Dot and Quantum Point Contact Systems

Nonequilibrium Electron Transport in Quantum Dot and Quantum Point Contact Systems
Author: Anasuya Erin Krishnaswamy
Publisher:
Total Pages: 286
Release: 1999
Genre: Electron transport
ISBN:

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Much experimental research has been performed in the equilibrium regime on individual quantum dots and quantum point contacts (QPCs). The focus of the research presented here is electron transport in the nonequilibrium regime in coupled quantum dot and QPC systems fabricated on AlGaAs/GaAs material using the split gate technique. Near equilibrium magnetoconductance measurements were performed on a quantum dot and a QPC. Oscillations were seen in the conductance of the sensor which corresponded to Aharonov-Bohm oscillations in the quantum dot, to our knowledge the first such observation. Sudden jumps in the conductance of the QPC were observed under certain gate biases and under certain magnetic fields. When the gate biases and magnetic field were held constant and the conductance was observed over time, switching was observed with the form of a random telegraph signal (RTS). RTS switching is usually attributed to charging of a single impurity. However, in this case switching may have been due to tunneling via edge states in the dot. Nonequilibrium transport in single quantum dots was investigated. A knee or kink was observed in the current-voltage characteristics of two dots on different material. The bias conditions under which the knee occurred point to electron heating as the physical mechanism for the observed behavior. However, the data can not be fit accurately over all bias ranges with an energy balance hot electron model. Modifications to the model are needed to accurately represent the devices studied here. Finally, the effect of nonlinear transport through a one dimensional (1D) QPC on the equilibrium conductance of an adjacent OD quantum dot was explored. This was the first attempt to observe Coulomb drag between a OD and 1D system. It was observed that the equilibrium conductance peaks in the quantum dot were broadened as the current in the QPC increased. This apparent electron heating effect in the dot can be explained by a simple ballistic phonon model. However, reasonable phase coherence times can be estimated from peak fitting using a Breit- Wigner formula which points to a Coulomb interaction. More detailed numerical calculations should illuminate the dominant scattering processes.


Phase Coherent Electron Transport in Open Quantum Dots and Quantum Dot Arrays

Phase Coherent Electron Transport in Open Quantum Dots and Quantum Dot Arrays
Author: J. P. Bird
Publisher:
Total Pages: 6
Release: 2000
Genre:
ISBN:

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Recent studies of coherent electron transport in open quantum dots and quantum dot arrays are reviewed. Our interest focuses on the connection between the quantum and semi-classical descriptions of transport in these Structures, which provide ideal systems for the experimental study of quantum chaos.


Quantum Coherence and Interactions in Quantum Dots

Quantum Coherence and Interactions in Quantum Dots
Author: Ileana Georgeta Rau
Publisher:
Total Pages:
Release: 2011
Genre:
ISBN:

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The behavior of electrons in solid state systems is determined by the interaction of their charge and spin degrees of freedom with each other and with the degrees of freedom of their environment. Whether the interactions manifest themselves by modifying some of the system's properties such as the effective mass in the Fermi liquid picture, or more directly by suppressing transport in the Coulomb blockade model, depends on the details and complexity of the system. This thesis investigates two cases: the Fermi liquid behavior in a system with exchange interactions (the spin 1/2 Kondo model) and effect of Coulomb interactions on the phase coherence of electrons in a quantum dot with single mode leads. The first experiment tests the Fermi liquid theory prediction of a quadratic power law dependence of the electron scattering rate on energy in the non-equilibrium regime. We measure transport though a lateral GaAs/AlGaAs quantum dot that acts as an artificial magnetic impurity coupled to a single reservoir and find that the low energy conductance obeys universal scaling with temperature and bias with a quadratic exponent as expected for the single channel Kondo state. This single particle picture fails when a second independent channel is added and the quantum correlations lead to non-Fermi liquid behavior. To understand how the short range Coulomb repulsion affects phase coherence we measure the quantum correction due to the weak localization of electrons in a quantum dot coupled to a reservoir via perfectly transmitting quantum point contacts. We extract the dephasing time and observe that it continues to increase down to the lowest temperatures, in accordance with the predictions from Fermi liquid theory and in contradiction with previous experiments in zero-dimensional structures. When the phase coherence time of the electrons becomes large enough, we observe the effects of the long range Coulomb repulsion as Coulomb blockade emerges. This was previously assumed to be characteristic of transport through quantum dots with tunneling quantum point contacts (QPCs). We show that despite the fully open QPCs of our device, the coherent backscattering of electrons at zero magnetic field is responsible for Coulomb charging effects and estimate that the residual charge quantization at the lowest temperature is 1/3 electron charge via charge sensing measurements.


Non-Equilibrium Quantum Dots: Transport

Non-Equilibrium Quantum Dots: Transport
Author:
Publisher:
Total Pages: 5
Release: 1990
Genre:
ISBN:

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The electronic transport through three-dimensionally confined semiconductor quantum dots is investigated and analyzed. The spectrum corresponds to resonant tunneling from laterally confined emitter contact subbands through the discrete three-dimensionally confined quantum dot states. Momentum non-conservation is observed in these structures.


Quantum Chaos and Quantum Dots

Quantum Chaos and Quantum Dots
Author: Katsuhiro Nakamura
Publisher:
Total Pages: 228
Release: 2004
Genre: Mesoscopic phenomena (Physics).
ISBN: 9780198525899

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Dynamics of billiard balls and their role in physics have received wide attention since the monumental lecture by Lord Kelvin at the turn of the 19th century. Billiards can nowadays be created as quantum dots in the microscopic world enabling one to envisage the so-called quantum chaos, i.e.quantum manifestation of chaos of billiard balls. In fact, owing to recent progress in advanced technology, nanoscale quantum dots, such as chaotic stadium and antidot lattices analogous to the Sinai Billiard, can be fabricated at the interface of semiconductor heterojunctions. This book begins itsexploration of the effect of chaotic electron dynamics on ballistic quantum transport in quantum dots with a puzzling experiment on resistance fluctuations for stadium and circle dots. Throughout the text, major attention is paid to the semiclassical theory which makes it possible to interpretquantum phenomena in the language of the classical world. Chapters one to four are concerned with the elementary statistical methods (curvature, Lyapunov exponent, Kolmogorov-Sinai entropy and escape rate), which are needed for a semiclassical description of transport in quantum dots. Chapters fiveto ten discuss the topical subjects in the field, including the ballistic weak localization, Altshuler-Aronov-Spivak oscillation, partial time-reversal symmetry, persistent current, Arnold diffusion and Coulomb blockade.


Quantum Dots

Quantum Dots
Author: Lucjan Jacak
Publisher: Springer Science & Business Media
Total Pages: 176
Release: 2013-06-29
Genre: Technology & Engineering
ISBN: 3642720021

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We present an overview of the theoretical background and experimental re sults in the rapidly developing field of semiconductor quantum dots - systems 8 6 of dimensions as small as 10- -10- m (quasi-zero-dimensional) that contain a small and controllable number (1-1000) of electrons. The electronic structure of quantum dots, including the energy quan tization of the single-particle states (due to spatial confinement) and the evolution of these (Fock-Darwin) states in an increasing external magnetic field, is described. The properties of many-electron systems confined in a dot are also studied. This includes the separation of the center-of-mass mo tion for the parabolic confining potential (and hence the insensitivity of the transitions under far infrared radiation to the Coulomb interactions and the number of particles - the generalized Kohn theorem) and the effects due to Coulomb interactions (formation of the incompressible magic states at high magnetic fields and their relation to composite jermions), and finally the spin-orbit interactions. In addition, the excitonic properties of quantum dots are discussed, including the energy levels and the spectral function of a single exciton, the relaxation of confined carriers, the metastable states and their effect on the photoluminescence spectrum, the interaction of an exciton with carriers, and exciton condensation. The theoretical part of this work, which is based largely on original re sults obtained by the authors, has been supplemented with descriptions of various methods of creating quantum-dot structures.