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OverviewThe measurements of the Hall coe?cient R and the Seebeck coe?cient H (thermopower) S are known to give the sign of the carrier charge q. Sodium (Na) forms a body-centered cubic (BCC) lattice, where both R and S are H negative, indicating that the carrier is the “electron. ” Silver (Ag) forms a face-centered cubic (FCC) lattice, where the Hall coe?cient R is negative H but the Seebeck coe?cient S is positive. This complication arises from the Fermi surface of the metal. The “electrons” and the “holes” play important roles in conducting matter physics. The “electron” (“hole”), which by de?- tion circulates counterclockwise (clockwise) around the magnetic ?eld (?ux) vector B cannot be discussed based on the prevailing equation of motion in the electron dynamics: dk/dt = q(E +v×B), where k = k-vector, E = electric ?eld, and v = velocity. The energy-momentum relation is not incorporated in this equation. In this book we shall derive Newtonian equations of motion with a s- metric mass tensor. We diagonalize this tensor by introducing the principal masses and the principal axes of the inverse-mass tensor associated with the Fermi surface. Using these equations, we demonstrate that the “electrons” (“holes”) are generated, depending on the curvature sign of the Fermi s- face. The complicated Fermi surface of Ag can generate “electrons” and “holes,” and it is responsible for the observed negative Hall coe?cient R H and positive Seebeck coe?cient S. Full Product DetailsAuthor: Shigeji Fujita , Kei ItoPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: Softcover reprint of hardcover 1st ed. 2007 Dimensions: Width: 15.50cm , Height: 1.40cm , Length: 23.50cm Weight: 0.454kg ISBN: 9781441925473ISBN 10: 1441925473 Pages: 244 Publication Date: 29 October 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of print, replaced by POD We will order this item for you from a manufatured on demand supplier. Table of ContentsPreliminaries.- Lattice Vibrations and Heat Capacity.- Free Electrons and Heat Capacity.- Electric Conduction and the Hall Effect.- Magnetic Susceptibility.- Boltzmann Equation Method.- Bloch Electron Dynamics.- Bloch Theorem.- The Fermi Liquid Model.- The Fermi Surface.- Bloch Electron Dynamics.- Applications Fermionic Systems (Electrons).- De Haas–Van Alphen Oscillations.- Magnetoresistance.- Cyclotron Resonance.- Seebeck Coefficient (Thermopower).- Infrared Hall Effect.ReviewsAuthor InformationShigeji Fujita is Professor of Physics at State University of New York at Buffalo and has published 3 books with the Springer family since 1996. His areas of expertise include statistical physics, solid and liquid state physics, superconductivity and Quantum Hall Effect theory. Kei Ito is also a Professor of Physics at the State University of New York at Buffalo, while on leave from the National Center for University Entrance Examinations in Tokyo, Japan. Tab Content 6Author Website:Countries AvailableAll regions |