### PHYS3021 Statistical and Solid State Physics

Students should only enrol into PHYS3080 if they have already taken PHYS3020, or if their degree plan requires PHYS3080.

All other students should enrol into PHYS3021 Statistical and Solid State Physics in 2013.

**Solid State Physics
**

**Brief Syllabus**:

Free electron model of
metals, Bloch states and energy bands, reciprocal space and the Fermi surface,
electron dynamics, Landau levels, crystal structure, Brillouin zones,
elementary diffraction theory, bonding, cohesive processes, impurity states,
impurity conductivity, lattice vibration, monatomic and diatomic chain,
acoustic and optic phonons, Einstein and Debye models, dielectric effects,
basics of superconductivity.

Lecture notes

Table of contents

Lecture notes 1

Lecture notes 2

Lecture notes 3

Lecture notes 4

Lecture notes 5

Lecture notes 6

Lecture notes 7

Lecture notes 8

Assignments

Assignment 1

Assignment 2

Assignment 3

**Assumed Knowledge**:

The course assumes
familiarity with second year PHYS2040 Quantum Physics and first year
mathematics, e.g. MATH1231 or MATH1241. Co-requisite courses are PHYS3010
Quantum Mechanics (Advanced) or PHYS3210 Quantum Mechanics, and PHYS3020
Statistical Physics.

**Course Goals**:

Solid State Physics provides the basis for the
most important technological advances of the 20^{th} century. It also
provides a wide range of opportunities to ‘see’ the effects of Quantum Physics
in action. Specific topics include:

- A
discussion of the basic concept of a lattice and some important and yet
quite simple crystal structures;
- The
behaviour of atoms in a crystal; vibrational modes of a lattice and their
quantization (“phonons”);
- The
behaviour of electrons in a metal; “Free-Electron model” and the “Nearly
Free-Electron model”; electron waves and lattice potential;
- Energy
bands in crystals; Brillouin Zones;
- Semiconductors,
direct and indirect band-gaps; the effects of doping a semiconductor;
basic semiconductor devices such as the p-n junction;
- The
phenomenon of superconductivity; key experiments; some attempts to explain
superconductivity; the BCS model (the importance of phonons).

### Learning Objectives

- Students
will learn the basics of crystallography and the importance of periodicity.
- Students
will have the opportunity to apply their knowledge of Quantum Physics to
real systems such as metals and semiconductors.
- Students
will be able to follow the development of the phenomenon of
superconductivity from both experimental and theoretical viewpoints.

**Why is Solid State Physics important?**

Firstly, it is often said
that Solid State Physics is the branch of Physics in which perhaps half of all
present-day physicists are working. The coupling of Solid State Physics and
Quantum Physics is the basis for virtually all technological aspects of modern
life.

The course is strongly
recommended as groundwork for a number of 3^{rd} year courses, e.g.
PHYS3310 Physics of Solid State Devices, as well as the 4^{th} year
Honours units in Solid State Physics and Advanced Condensed Matter Physics.

**How to succeed -
Strategies for Learning**

This course will provide
both an introduction to the behaviour of solid materials and the conceptual
tools necessary if one wishes to pursue such studies. At this level, it is
important to focus on the basic principles which, in many cases, can be
appreciated without the need for detailed mathematics. The subject naturally
includes much Quantum Mechanics but the student will find that the Quantum
Physics studied in 2^{nd} year will provide most of the skills needed
to follow this course.

Like most subjects, the key
to success is hard work. At regular points during the course (to link in with
the lecture topics). I will distribute a sheet of tutorial problems covering
the topic and approximately one in five of the class periods will be devoted to
a tutorial in which solutions to these problems will be discussed.

It is useful, as in any
course, for each student to prepare a concise summary of the material presented
in lectures.

For rules regarding academic honesty, etc, see the School
website here.

**Resources**

Textbook

*Solid State Physics* (1^{st} Ed.) (Wiley) by P.
Hofmann

*Solid State Physics* (2^{nd} Ed.) (Wiley) by
J.R. Hook & H.E. Hall

#### Additional References

*Introductory Solid State Physics*, H.P. Myers

*Solid State Physics*, N.W. Ashcroft & N.D. Mermin

Information on student
support services may be found on the School website here.

last updated 1st March 2012