NDLI: A Study of Quantum Electron Dynamics in Periodic Superlattices under Electric Fields

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A Study of Quantum Electron Dynamics in Periodic Superlattices under Electric Fields

Content Provider	University of North Texas
Author	Yuan, Daiqing
Description	This thesis examines the quantum dynamics of electrons in periodic semiconductor superlattices in the presence of electric fields, especially uniform static fields. Chapter 1 is an introduction to this vast and active field of research, with an analysis and suggested solutions to the fundamental theoretical difficulties. Chapter 2 is a detailed historical review of relevant theories, and Chapter 3 is a historical review of experiments. Chapter 4 is devoted to the time-independent quantum mechanical study of the electric-field-induced changes in the transmission properties of ballistic electrons, using the transfer matrix method. In Chapter 5, a new time-dependent quantum mechanical model free from the fundamental theoretical difficulties is introduced, with its validity tested at various limiting cases. A simplified method for calculating field-free bands of various potential models is designed. In Chapter 6, the general features of "Shifting Periodicity", a distinctive feature of this new model, is discussed, and a "Bloch-Floquet Theorem" is rigorously proven. Numerical evidences for the existence of Wannier-Stark-Ladders are presented, and the conditions for its experimental observability is also discussed. In Chapter 7, an analytical solution is found for Bloch Oscillations and Wannier-Stark-Ladders at low electric fields. In Chapter 8, a new quantum mechanical interpretation for Bloch Oscillations and Wannier-Stark-Ladders is derived from the analytical result. The extension of this work to the cases of time-dependent electric fields is also discussed.
File Format	PDF
Archival Resource Key	ark:/67531/metadc277643
Language	English
Publisher Date	2015-07-31
Publisher Place	Denton, Texas
Access Restriction	Open
Subject Keyword	electrons quantum dynamics semiconductors electric fields superlattices
Content Type	Text
Resource Type	Thesis

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