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Quantum Theory of Conducting Matter: Newtonian Equations of Motion for a Bloch Electron. 2007 ed.
・ISBN 978-0-387-74102-4 hard EUR 99.99
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| 著者・編者 | Fujita, Shigeji / Ito, Kei, |
|---|---|
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2007 |
| ページ数 | 244 pp. |
| 言語 | ENG |
| ニュース番号 | <A05-36216> |
解説
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 +vxB), 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.