Quantum Dynamics of Submicron Structures
Published on 30. April 1995
Book
Hardback
XXIII, 741 pages
978-0-7923-3469-9 (ISBN)
Description
Techniques for the preparation of condensed matter systems have advanced considerably in the last decade, principally due to the developments in microfabrication technologies. The widespread availability of millikelvin temperature facilities also led to the discovery of a large number of new quantum phenomena. Simultaneously, the quantum theory of small condensed matter systems has matured, allowing quantitative predictions.
The effects discussed in Quantum Dynamics of Submicron Structures include typical quantum interference phenomena, such as the Aharonov-Bohm-like oscillations of the magnetoresistance of thin metallic cylinders and rings, transport through chaotic billiards, and such quantization effects as the integer and fractional quantum Hall effect and the quantization of the conductance of point contacts in integer multiples of the `conductance quantum'. Transport properties and tunnelling processes in various types of normal metal and superconductor tunnelling systems are treated. The statistical properties of the quantum states of electrons in spatially inhomogeneous systems, such as a random, inhomogeneous magnetic field, are investigated. Interacting systems, like the Luttinger liquid or electrons in a quantum dot, are also considered.
Reviews are given of quantum blockade mechanisms for electrons that tunnel through small junctions, like the Coulomb blockade and spin blockade, the influence of dissipative coupling of charge carriers to an environment, and Andreev scattering. Coulomb interactions and quantization effects in transport through quantum dots and in double-well potentials, as well as quantum effects in the motion of vortices, as in the Aharonov-Casher effect, are discussed.
The status of the theory of the metal-insulator and superconductor-insulator phase transitions in ordered and disordered granular systems are reviewed as examples in which such quantum effects are of greatimportance.
The effects discussed in Quantum Dynamics of Submicron Structures include typical quantum interference phenomena, such as the Aharonov-Bohm-like oscillations of the magnetoresistance of thin metallic cylinders and rings, transport through chaotic billiards, and such quantization effects as the integer and fractional quantum Hall effect and the quantization of the conductance of point contacts in integer multiples of the `conductance quantum'. Transport properties and tunnelling processes in various types of normal metal and superconductor tunnelling systems are treated. The statistical properties of the quantum states of electrons in spatially inhomogeneous systems, such as a random, inhomogeneous magnetic field, are investigated. Interacting systems, like the Luttinger liquid or electrons in a quantum dot, are also considered.
Reviews are given of quantum blockade mechanisms for electrons that tunnel through small junctions, like the Coulomb blockade and spin blockade, the influence of dissipative coupling of charge carriers to an environment, and Andreev scattering. Coulomb interactions and quantization effects in transport through quantum dots and in double-well potentials, as well as quantum effects in the motion of vortices, as in the Aharonov-Casher effect, are discussed.
The status of the theory of the metal-insulator and superconductor-insulator phase transitions in ordered and disordered granular systems are reviewed as examples in which such quantum effects are of greatimportance.
More details
Series
Edition
1995 ed.
Language
English
Place of publication
Dordrecht
Netherlands
Target group
College/higher education
Professional and scholarly
Research
Illustrations
XXIII, 741 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 46 mm
Weight
1308 gr
ISBN-13
978-0-7923-3469-9 (9780792334699)
DOI
10.1007/978-94-011-0019-9
Schweitzer Classification
Other editions
Additional editions
Hilda A. Cerdeira | B. Kramer | Gerd Schön
Quantum Dynamics of Submicron Structures
E-Book
12/2012
Springer
€309.23
Available for download
Hilda A. Cerdeira | B. Kramer | Gerd Schön
Quantum Dynamics of Submicron Structures
Book
10/2012
Springer
€320.99
Shipment within 15-20 days
Content
Quantum Particle in a Random Magnetic Field.- Anderson Transition in Homogeneous and Random Magnetic Fields.- The Universal Critical Level Statistics.- Mesoscopic Fluctuations in Models of Classical and Quantum Diffusion.- Quantum Interferences in Disordered Mesoscopic Insulators.- On the Role of the Statistical Ensemble in the Dynamics and Thermodynamics of Finite Disordered Systems.- Scaling of Level Statistics at the Metal-Insulator Transition.- Universality of the Metal-Insulator Transition.- Localization Investigations in the Regime of the Quantum Hall Effect.- Scaling and Inelastic Scattering in the Integer Quantum Hall Effect.- Time-Resolved Tunneling of Single Electrons between Quantum Hall States in a Quantum Dot.- Equilibrium and Non-Equilibrium Current in the Quantum Hall Regime.- Scattering of an Impurity in a Weakly Interacting One-Dimensional Electron Gas.- Electron Spin and Low Energy Excitations in Quantum Dots and Small Rings.- Persistent Current and the Coulomb Interaction.- Persistent Currents and Luttinger Liquids.- Tunneling of Interacting Electrons in Single and Multijunction Systems.- Resonant Tunneling and Charging Effects, a Path Integral Approach.- Persistent Currents in a Few Electron Ring.- Antidot Superlattices: Classical Trajectories and Phase Coherent Electrons.- Transport Experiments on a Quantum Dot.- Statistics of Conductance Fluctuations in Quantum Dots.- Few Electron Quantum Dots: Correlations and Collective Response.- Spin Blockades in Electron Transport.- Coulomb Blockade in Quantum Dots.- Transport in Antidot Superlattices.- Ac-Conductance of Mesoscopic Rings.- On Quantum Noise.- Microwave Excitations in the Two-Dimensional Electron System Gaas/algaas.- Single Electron Tunneling in time-Dependent Fields.- Photo-Assisted Tunneling through Semiconductor Nano-Structures.- Intrinsic Noise in Coulomb-Blockaded Devices.- Partition Noise in Electron Transport.- Superconducting Set Box with Microwave Irradiation.- Phase Controlled Metallic Mesoscopic Interferometers.- Theory of the Josephson Effect for Linked, Mesoscopic Superconducting Dots.- Parity Effects in Conventional and Unconventional Superconductors.- Parity Effects and Higher order Tunneling in Superconducting Set Transistors.- Characterization of Nb/inas(2deg)/nb-Contacts.- Resonant Tunneling as a Probe of Bound States in a Superconducting Quantum Well.- Gate-Voltage Controlled Supercurrents.- Interference of Flux-Quanta.- Topological Quantization in Superconducting Arrays.- Quantum Phase Transitions in Interacting Bose Systems.- The Supersolid Phase of Interacting Two-Dimensional Bosons.- Enhancement of the Supercurrent by Controlled Squeezing of the Quantum Fluctuations in the Phase of the Island in a Double Junction.- Vortex Propagation in Descrete Josephson Rings.- Vortex Dynamics in Disordered Type-II Superconductors.- Quantum Intrinsic Creep of Vortices.- Non-Linear Viscous Vortex Motion in Driven Josephson Junction Arrays.- Quantum Critical Phenomena in Ladders of Josephson Junctions in a Magnetic Field.- Plastic Flow of Vortex-Antivortex Pairs in Disordered Josephson Junction Arrays.- Spatio-Temporal Chaos and Thermal Noise in Josephson Junction Series Arrays.- Phase Coherence and Percolation in Weak Link Networks of High Temperature Superconductors.- Single-Particle Tunneling in Break Junctions on Bisr-Cacuo:Pb.- Charge and Current Conserving Mesoscopic Transport.- Control of Tunneling.- Generalized Ohm'S Law.- Double Barrier Resonant Tunneling: Physics and Device Applications.- Acoustic Properties of Glasses in the SaturationRegime.- Low Temperature Behavior of an NFFlavor Two-Level System in Metals.- Brownian Motion in Submicron Rings.- Author Index.