Quantum Theory of Conducting Matter
Newtonian Equations of Motion for a Bloch Electron
(Sprache: Englisch)
In a complex field, this work is a first. The authors make an important connection between the conduction electrons and the Fermi surface in an elementary manner in the text. No currently available text explains this connection. They do this by deriving...
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In a complex field, this work is a first. The authors make an important connection between the conduction electrons and the Fermi surface in an elementary manner in the text. No currently available text explains this connection. They do this by deriving Newtonian equations of motion for the Bloch electron and diagonalizing the inverse mass (symmetric) tensor. The authors plan to follow up this book with a second, more advanced book on superconductivity and the Quantum Hall Effect.
Klappentext zu „Quantum Theory of Conducting Matter “
The 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.
Inhaltsverzeichnis zu „Quantum Theory of Conducting Matter “
Preliminaries.- 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.
Autoren-Porträt von Shigeji Fujita, Kei Ito
Shigeji 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.
Bibliographische Angaben
- Autoren: Shigeji Fujita , Kei Ito
- 2010, XX, 244 Seiten, Masse: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 1441925473
- ISBN-13: 9781441925473
Sprache:
Englisch
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