Local Geometry of the Fermi Surface

And High-Frequency Phenomena in Metals

Natalya A. Zimbovskaya (Autor)

Buch | Softcover

246 Seiten

2012 | Softcover reprint of the original 1st ed. 2001
Springer-Verlag New York Inc.
978-1-4612-6557-3 (ISBN)

Artikel merken

The electronic properties of normal metals have been under active study for several decades. In the 1950s and 1960s most investigations sought to describe the Fermi surfaces of metals. These studies were based on experimental data obtained as a re sult of numerous observations of particular phenomena responsive to the structure of the electronic spectra of metals and thus to band-structure calculations [lJ. The high-frequency properties of metals were also actively studied. These investiga tions were initiated by the development of the theory of the anomalous skin effect [2J. Later, significant achievements were reached in studies of the high-frequency properties of metals in the presence of an applied magnetic field. Cyclotron res onance in a parallel magnetic field [3], electromagnetic waves in metals [4]-[6J, size effects [7J, [8], Doppler shifted cyclotron resonance, and dopplerons [9], [10] were predicted in theoretical studies and repeatedly observed in experiments. This offered new scope for analysis of the properties of the electron system of metals. The main results of theoretical and experimental studies of the electronic charac teristics of metals performed during this period are expounded in several books and review articles (see, e. g. , [11]-[14], [16]). Great progress was also achieved in studies of the interaction between an elec tron system and the ultrasonic waves propagating in metals. At low temperatures (T < 10 K) the electrons produce a strong effect on the dispersion and attenuation of ultrasound waves.

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.

Zusatzinfo	XIII, 246 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Technik ► Maschinenbau
ISBN-10	1-4612-6557-6 / 1461265576
ISBN-13	978-1-4612-6557-3 / 9781461265573
Zustand	Neuware