Local Geometry of the Fermi Surface : And High Frequency Phenomena in Metals

And High Frequency Phenomena in Metals

By: Natalya A. Zimbovskaya

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Hardcover | 1 April 2001

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Hardcover
264 Pages

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23.39 x 15.6 x 1.6

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The development of new experimental techniques to study phenomena, such as the anomalous skin effect, cyclotron resonance in magnetic fields normal to then metal surface, and high-frequency properties of metals, as well as the discovery of collective excitations arising from electron-electron correlations, have offered a new impetus for the analysis of the electronic properties of metals. This book discusses the local geometry of the Fermi surface and its effects on high-frequency phenomena in metals and metallic conductors. After an introductory chapter reviewing the electron-liquid theory of metals the discussion turns to techniques useful in analyzing properties of real Fermi surfaces, which are rarely spherical. In subsequent chapters these techniques are applied to concrete problems such as the anomalous skin effect, cyclotron resonance, attenuation of ultrasonic fields, dopplerons, the effects of zero-curvature portions of the Fermi surface, and the behavior of the Fermi surface in low-dimensional structures.

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Preface
The Electronic Liquid of Metals	p. 1
The Quasi Particle Concept	p. 1
Local Geometry of the Fermi Surface and High-Frequency Properties of Metals	p. 4
Semiclassical Dynamics of Electrons in a Magnetic Field and Magnetotransport in Metals	p. 11
Skin Effect	p. 17
Cyclotron Resonance	p. 22
Ultrasonic Attenuation in Metals: Geometric Resonances	p. 25
Fermi-Liquid Interaction between Quasi Particles	p. 27
Main Equations of the Theory of the Electron Fermi Liquid of Anisotropic Metal	p. 31
Main Relations of the Quantum Theory of an Electronic Liquid of Metals	p. 31
Approximation of the Fermi-Liquid Kernel for a Metal with a Simply Connected and Everywhere Convex Fermi Surface	p. 39
Approximation of the Fermi-Liquid Functions in Metals with a Cubic Symmetry of a Crystal Lattice	p. 42
Approximation of the Fermi-Liquid Functions for a Metal with an Axial-Symmetric Fermi Surface	p. 49
Local Anomalies of the Fermi Surface Curvature and the Anomalous Skin Effect in Metals	p. 53
The Effect of Local Geometry of the Fermi Surface on the Conductivity of a Metal	p. 53
Frequency Dependence of the Surface Impedance of a Metal with an Anomalous Local Geometry of the Fermi Surface	p. 61
Cyclotron Resonance in Metals in a Normal Magnetic Field	p. 66
On the Nature of Cyclotron Resonance in Metals in a Normal Magnetic Field	p. 66
Cyclotron Resonance in Potassium in a Normal Magnetic Field	p. 75
Cyclotron Resonance in a Normal Magnetic Field in Cadmium	p. 82
Local Flattening of the Fermi Surface and Cyclotron Resonance in a Normal Magnetic Field in Metals	p. 86
Local Geometry of the Fermi Surface and Magnetoacoustic Oscillations in Metals	p. 95
Magnetoacoustic Oscillations in Metals with a Nearly Cylindrical Fermi Surface	p. 95
Local Flattering of the Fermi Surface and Magnetoacoustic Oscillations in Metals	p. 104
Acoustic Cyclotron Resonance and Giant High-Frequency Magnetoacoustic Oscillation in Metals with the Locally Flattened Fermi Surface	p. 108
Fermi-Liquid Cyclotron Doppleron Waves in Metals	p. 115
Local Geometry of the Fermi Surface and Spectra of Cyclotron Doppleron Waves in Metals	p. 115
Propagation of Cyclotron Doppleron Waves Through a Metal Plate	p. 123
Influence of the Surface Scattering of Electrons on the Excitation of Cyclotron Dopplerons	p. 130
The Influence of the Local Geometry of Fermi Surfaces on Quantum Oscillations of the Velocity of Sound in Metals	p. 138
The Effect of Curvature-Related Features of the Fermi Surface on Quantum Oscillations of the Velocity of Sound in Metals in the Low-Frequency Range	p. 138
Quantum Oscillations of the Velocity of Sound Propagating in a Nonlocal Regime	p. 149
Quantum Oscillations of the Velocity and Absorption Coefficient of Ultrasound as it Interacts with a Helical Wave in a Compensated Metal	p. 158
Local Geometry of the Fermi Surface and High-Frequency Phenomena in Low-Dimensional Structures	p. 168
Skin Effect in Layered Conductors	p. 168
Cyclotron Resonance in Layered Conductors in a Normal Magnetic Field	p. 176
Quantum Oscillatory Phenomena in Layered Conductors	p. 180
Deformed Fermi Surfaces and the Magnetoacoustic Response of the Modulated Quantum Hall System Near a Half-Filling of the Lowest Landau Level	p. 188
Dynamical Kohn Anomaly in a Surface Acoustic Wave Response in Modulated Quantum Hall Systems	p. 205
App. 1	p. 214
App. 2	p. 219
App. 3	p. 223
App. 4	p. 228
References	p. 234
Index	p. 243
Table of Contents provided by Blackwell. All Rights Reserved.

Local Geometry of the Fermi Surface : And High Frequency Phenomena in Metals

And High Frequency Phenomena in Metals

At a Glance

Hardcover

Shipping

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Defective items

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