Electrons in Solids
- Contemporary topics
- Richard A Dunlap
- September 2019
Description
The transport of electric charge through most materials is well described in terms of their electronic band structure. This book, however, deals with two cases where the charge transport in a solid is not described by the simple band structure picture of the solid. These cases are related to the phenomena of the quantum Hall effect and superconductivity. Part I of this text deals with the quantum Hall effect, which is a consequence of the behaviour of electrons in solids when they are constrained to move in two dimensions. Part II describes the behaviour of superconductors, where electrons are bound together in Cooper pairs and travel through a material without resistance.About Editors
Richard A Dunlap received a BS in physics from Worcester Polytechnic Institute, an AM in physics from Dartmouth College and a PhD in physics from Clark University. He currently holds an appointment as a research professor in the Department of Physics and Atmospheric Science at Dalhousie University, and his previous books include Experimental Physics: Modern Methods, The Golden Ratio and Fibonacci Numbers, An Introduction to the Physics of Nuclei and Particles, Sustainable Energy, Novel Microstructures for Solids, Particle Physics, The Mössbauer Effect and Lasers and Their Application to the Observation of Bose–Einstein Condensates.
Table of Contents
Part I The Quantum Hall Effect
Chapter 1 The normal Hall effect
1.1 Introduction
1.2 Basic physics of the Hall effect
1.3 The Hall effect and holes
1.4 The effective mass tensor
1.5 Applications of the Hall effect
References and suggestions for further reading
Chapter 2 The integer quantum Hall effect
2.1 Introduction
2.2: Discovery of the integer quantum Hall effect
References and suggestions for further reading
Chapter 3 High magnetic field technology
3.1 Introduction
3.2 Solenoids
3.3 Magnetic core electromagnets
3.4 Superconducting magnets
3
3.5 Bitter solenoids
References and suggestions for further reading
Chapter 4 Integer quantum Hall effect theory
4.1 Introduction
4.2 Quantum harmonic oscillator
4.3 Landau levels
4.4 Landau level degeneracy
4.5 Lifting of the Landau level degeneracy
4.6 Explanation of the plateaus
References and suggestions for further reading
Chapter 5 The fractional quantum Hall effect
5.1 Introduction
5.2 Discovery of the fractional quantum Hall effect
5.3 Theory of the fractional quantum Hall effect
References and suggestions for further reading
Chapter 6 Applications of the quantum Hall effect
6.1 Introduction
6.2 The resistance standard
6.3 Relationship of the quantum Hall effect to physical constants
References and suggestions for further reading
Part II Superconductivity
Chapter 7 Superconductivity and magnetism
7.1 Introduction
7.2 The discovery of superconductivity
4
7.3 The effect of magnetic fields on superconductors
7.4 Diamagnetism and the Meissner effect
References and suggestions for further reading
Chapter 8 Other properties of superconductors
8.1 Introduction
8.2 The London penetration depth
8.3 Flux quantization
8.4 The isotope effect
8.5 Specific heat
References and suggestions for further reading
Chapter 9 BCS theory
9.1 Introduction
9.2 Cooper pair formation
9.3 The superconducting energy gap
9.4 The coherence length
References and suggestions for further reading
Chapter 10 High temperature superconductivity
10.1 Introduction
10.2 The discovery of high temperature superconductors
10.3 Properties of high temperature superconductors
10.4 The theory of high temperature superconductivity
References and suggestions for further reading
Chapter 11 The Josephson effect
11.1 Introduction
11.2 The Josephson effect
5
References and suggestions for further reading
Chapter 12 Superconductor applications
12.1 Introduction
12.2 Power transmission
12.3 Particle physics
12.4 Fusion research
12.5 SQUIDs
References and suggestions for further readingBibliographic
Paperback ISBN: 9780750330114
Ebook ISBN: 9781643276892
DOI: 10.1088/2053-2571/ab2f2c
Publisher: Morgan & Claypool Publishers