Local Geometry of the Fermi Surface

The Fermi surface determines the behaviour 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.

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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 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.