Natalya A. Zimbovskaya

Local Geometry of the Fermi Surface (eBook, PDF)

And High-Frequency Phenomena in Metals

• Format: PDF

Produktbeschreibung

A treatment of the Fermi-liquid theory of high-frequency phenomena in metals, in paricular the effects due to local features in the geometry of the Fermi surface. The text develops a consistent theory of several effects, such as cyclotron resonances in magnetic fields normal to the surface. Topics covered include: basic equations of the Fermi-liquid theory; cyclotron Doppler on waves; local anomalies in the Fermi surface; cyclotron resonancce in metals; magneto-acoustic oscillations and the local geometry of the Fermi surface.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 246
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461301936
• Artikelnr.: 43991616

Autorenporträt

The Fermi surface (the surface of an abstract volume describing energies and momenta of the electrons in metal) determines the behavior of the mobile electrons in the metal, and thus affects the metal's electrical conductivity and the response to magnetic fields. This book discusses the geometry of the Fermi surface and its effects on high-frequency phenomena in metals and metallic conductors.

Inhaltsangabe

1 The Electronic Liquid of Metals.- 1.1 The Quasi Particle Concept.- 1.2 Local Geometry of the Fermi Surface and High-Frequency Properties of Metals.- 1.3 Semiclassical Dynamics of Electrons in a Magnetic Field and Magnetotransport in Metals.- 1.4 Skin Effect.- 1.5 Cyclotron Resonance.- 1.6 Ultrasonic Attenuation in Metals: Geometric Resonances.- 1.7 Fermi-Liquid Interaction between Quasi Particles.- 2 Main Equations of the Theory of the Electron Fermi Liquid of Anisotropic Metal.- 2.1 Main Relations of the Quantum Theory of an Electronic Liquid of Metals.- 2.2 Approximation of the Fermi-Liquid Kernel for a Metal with a Simply Connected and Everywhere Convex Fermi Surface.- 2.3 Approximation of the Fermi-Liquid Functions in Metals with a Cubic Symmetry of a Crystal Lattice.- 2.4 Approximation of the Fermi-Liquid Functions for a Metal with an Axial-Symmetric Fermi Surface.- 3 Local Anomalies of the Fermi Surface Curvature and the Anomalous Skin Effect in Metals.- 3.1 The Effect of Local Geometry of the Fermi Surface on the Conductivity of a Metal.- 3.2 Frequency Dependence of the Surface Impedance of a Metal with an Anomalous Local Geometry of the Fermi Surface.- 4 Cyclotron Resonance in Metals in a Normal Magnetic Field.- 4.1 On the Nature of Cyclotron Resonance in Metals in a Normal Magnetic Field.- 4.2 Cyclotron Resonance in Potassium in a Normal Magnetic Field.- 4.3 Cyclotron Resonance in a Normal Magnetic Field in Cadmium.- 4.4 Local Flattening of the Fermi Surface and Cyclotron Resonance in a Normal Magnetic Field in Metals.- 5 Local Geometry of the Fermi Surface and Magnetoacoustic Oscillations in Metals.- 5.1 Magnetoacoustic Oscillations in Metals with a Nearly Cylindrical Fermi Surface.- 5.2 Local Flattening of the Fermi Surface and Magnetoacoustic Oscillationsin Metals.- 5.3 Acoustic Cyclotron Resonance and Giant High-Frequency Magnetoacoustic Oscillations in Metals with the Locally Flattened Fermi Surface.- 6 Fermi-Liquid Cyclotron Doppleron Waves in Metals.- 6.1 Local Geometry of the Fermi Surface and Spectra of Cyclotron Doppleron Waves in Metals.- 6.2 Propagation of Cyclotron Doppleron Waves Through a Metal Plate.- 6.3 Influence of the Surface Scattering of Electrons on the Excitation of Cyclotron Dopplerons.- 7 The Influence of the Local Geometry of Fermi Surfaces on Quantum Oscillations of the Velocity of Sound in Metals.- 7.1 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.- 7.2 Quantum Oscillations of the Velocity of Sound Propagating in a Nonlocal Regime.- 7.3 Quantum Oscillations of the Velocity and Absorption Coefficient of Ultrasound as it Interacts with a Helical Wave in a Compensated Metal.- 8 Local Geometry of the Fermi Surface and High-Frequency Phenomena in Low-Dimensional Structures.- 8.1 Skin Effect in Layered Conductors.- 8.2 Cyclotron Resonance in Layered Conductors in a Normal Magnetic Field.- 8.3 Quantum Oscillatory Phenomena in Layered Conductors.- 8.4 Deformed Fermi Surfaces and the Magnetoacoustic Response of the Modulated Quantum Hall System Near a Half-Filling of the Lowest Landau Level.- 8.5 Dynamical Kohn Anomaly in a Surface Acoustic Wave Response in Modulated Quantum Hall Systems.- Appendix 1.- Appendix 2.- Appendix 3.- Appendix 4.- References.