PHYS208. (fys208) Faststoff-fysikk - Solid State Physics

Pensumliste - Requirements for the Exams (Curriculum)

The course is recommended for the International Master of Science Program. Therefore, if there are students from this programme, the course will be given in English.

The curriculum of the course is defined by the following list of topics. These are sufficiently covered by the main recommended book, but some material might be better covered by the other listed books. In several cases, there are additional notes. These are slightly modified every year in response to the new reactions from the participants.

Some details of the curriculum will be specified by additional notes, which will be distributed during the semester.

For further details: L. Kocbach, room 544, tel. 55 58 28 70, E-mail: ladi@post.ift.uib.no

Main Recommended Book (New in 1996)
N.W. ASHCROFT and N.D. MERMIN : SOLID STATE PHYSICS
( International Edition, 1995 Price: NOK 235)
This is a standard book e.g. in Utrecht and many other places

Alternative textbook:
G. BURNS : SOLID STATE PHYSICS
( International Edition, 1995 Price ca NOK 290.)
Modern and interesting book. Covers also all the topics

Old Recommended Book (1989-1994)
P.C. HEMMER : FASTE STOFFERS FYSIKK
( Norwegian, Price ca. NOK 130)
Kan brukes. Er mye mer kompakt, men dekker ikke alle emner.

C. KITTEL : INTRODUCTION TO SOLID STATE PHYSICS
( 6th edition, ca NOK 450)
Most Famous Textbook, used many places; Covers most of the topics, but not always at the required level. Useful as Reference. Many copies of older editions are available in the library.

Various notes. In particular on

Notes on Debye model, Einstein Model and Fermi gas model

Fourier method for band structure

Notes on the concept of effective mass

Semiconductors: Detailed treatment of the p-n junction

Notes on Ferromagnetism

Notes on Superconductivity

These notes are distributed during the lectures, but can be obtained from the lecturer at any time.

List of Topics Covered

Introduction

• Crystal Structure, Lattice (Gitter in Norw.) vibrations
• Crystals as "huge molecules,
• Quantum Mechanics.....

• Dispersion relations ( and normal modes) for a string
• (one dimensional 'crystal')
• Heat capacity, Einstein's model,
• Heat capacity, Debye's model
• Heat conduction
• Phonons
• Anharmonic Effects, Umklapp process; Thermal Expansion

• Classical Gas: Drude's Model: Relation between electic and thermal
• Conductivity
• Fermi Gas: Fermi Gas Model, Density of States, Fermi Energy
• Quantal Theory for Heat capacity of Electrons

• Blochs Theorem
• Details of Fourier analysis for construction of Bloch States
• LCAO
• 1-dimensional models
• Weak potential models
• Number of states in a band; Metals, Insulators Semiconductors
• 3-dimensional models

• Equations of Motion,
• Effective Mass; Effective Mass and Density of States

• Electron Motion in Magnetic field, Importance of Fermi Surface
• Temperature dependence of electric conductivity.
• Polycrystalline structure of metals

• Energy Gap; Number of states in a Band
• Density of Charge Carrires: Electrons and Holes
• Law of Mass Action (massevirkningsloven) Analogy with Chemistry
• Impurities; Donors and Acceptors; Impurity states
• Mobilities
• The physics of the p-n junction

• Hall effect in conductors
• Hall effect in semiconductors

• Diamagnetism; Quantal derivation
• Paramagnetism; Paramagnetism of Electrons in Metals
• Cooperative Magnetism

• Heisenberg Ferromagnet
• Mean Field Theory: Spontaneous magnetization, Hysteresis

• Basic principles, Meissner Effect
• Illustrative Models, Correlated states
• Superconductivity and Magnetism; Quantization of magnetic Flux
• Type I, Type II and high T superconductors

• Crystal Symmetry; Unit cells, Wigner-Seitz; Brillouin; Miller indices
• Types of Lattices

• Braggs Law; von Lau's methods; Ewald's Sphere
• Neutron Diffraction
• Diffraction: Experimental methods