Newtonian Equations of Motion for a Bloch Electron
Fujita, Shigeji, Ito, Kei
Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.
You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.
After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.
Current solid-state physics books say very little about the dynamics of Bloch electrons, and this book will help users to learn and master the issue
The book brings together various modern concepts at the forefront of condensed matter physics including the connection between conduction electrons and the Fermi surface
The book will be followed up by a more advanced book on superconductivity and the Quantum Hall Effect
Quantum Theory of Conducting Matter: Newtonian Equations of Motion for a Bloch Electron targets scientists, researchers and graduate-level students focused on experimentation in the fields of physics, chemistry, electrical engineering, and material sciences. It is important that the reader have an understanding of dynamics, quantum mechanics, thermodynamics, statistical mechanics, electromagnetism and solid-state physics. Many worked-out problems are included in the book to aid the reader's comprehension of the subject.
The Bloch electron (wave packet) moves by following the Newtonian equation of motion. Under an applied magnetic field B the electron circulates around the field B counterclockwise or clockwise depending on the curvature of the Fermi surface. The signs of the Hall coefficient and the Seebeck coefficient are known to give the sign of the major carrier charge. For alkali metals, both are negative, indicating that the carriers are "electrons." These features arise from the Fermi surface difference. The authors show 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. The authors do this by deriving Newtonian equations of motion for the Bloch electron and diagonalizing the inverse mass (symmetric) tensor.
The currently active areas of research, high-temperature superconductivity and Quantum Hall Effect, are important subjects in the conducting matter physics, and the authors plan to follow up this book with a second, more advanced book on superconductivity and the Quantum Hall Effect.
I. Preliminaries Chapter 1 through 5 - Introduction, Theoretical Background; Lattice vibrations, heat capacity; Free electron model, heat capacity; Electrical conduction and the Hall effect; Magnetic susceptibility II. Bloch Electron Dynamics Chapter 6 through 10 - Introduction; The Bloch theorem; The Fermi liquid model; The Fermi surface and de Haas-van Alphen oscillations; Newtonian equations of motion III. Applications Chapter 11 through 18 - Introduction; Cyclotron resonance; Dynamic conductivity, infrared faraday effect; Thermoelectric power; The doping dependence of the susceptibility in cuprates; Electron-phonon interation; Superconductivity; Quantum Hall effect