Lecturer:

Times and Rooms

• Tuesday 16:00-17:00 in S0.21
• Thursday 09:00-10:00 in LIB2
• Friday 15:00-16:00 in L4

Lecture 1, Jan 10

0. Motivation, 1. Crystal Structure, 1.5 Quasi-crystals 2. Crystal dynamics

Lecture 2, Jan 12

3. Free electrons in metals

Lecture 3, Jan 13

3.2 Free electron model

Lecture 4, Jan 17

3.3 Transport properties

Lecture 5, Jan 18

4. Periodic lattice potentials - energy bands

Lecture 6, Jan 19

4.4 The tight-binding approach

Lecture 7, Jan 24

4.1 Nearly-free electron theory, 4.2 Metals, Insulators, Semiconductors

Lecture 8, Jan 26

4.4 Band Structure Effective Mass, 14. Low-dimensional Systems, 14.2 2DEG

Lecture 9, Jan 27

SPECIAL TOPIC: Graphene

Lecture 10, Jan 31

14.3 The Quantum Hall Effects (IQHE), Fractional QHE

Lecture 11, Feb 2

5. Semiconductors, 5.2 Holes

Lecture 12, Feb 3

5.3 Methods of providing electrons and holes

Lecture 13, Feb 7

(cont'd) Non-equilibrium carrier densities

Lecture 14, Feb 9

6. Semiconductor Devices, 6.2 the p-n junction with zero applied bias

Lecture 15, Feb 10

SPECIAL TOPIC: Aharonov-Bohm effects for electrons and excitons

Lecture 16, Feb 14

cont'd

Lecture 17, Feb 16

6.3 p-n junction with bias, 13. Real metals, 13.2 Fermi surfaces

Lecture 18, Feb 17

cont'd, 13.3 Electron dynamics in 3D metals, 13.4 Experimental determination of S

Lecture 19, Feb 21

13.5 Why do electrons behave independantly?

Lecture 20, Feb 22

7. Dia- and Paramagnetism, 7.1 Introduction

Lecture 21, Feb 23

7.2 Paramagnetism

Lecture 22, Feb 28

8. Magnetic order, 8.2 Exchange interaction

Lecture 23, Mar 1

8.3 Ferromagnetism, Mean-field theory for the Heisenberg model, Critical Phenomena

Lecture 24, Mar 2

Macroscopic models of ferromagnetism, 8.A Phenomenological theory of ferromagnetism

Lecture 25, Mar 6

SPECIAL TOPIC: Spintronics

Lecture 26, Mar 8

Phenomenological theory of ferromagnetism (cont'd)

Lecture 27, Mar 9

8.B Solution of the 1D Ising model, 8.C Stoner solution of the Hubbard model

Lecture 28, Mar 13

9. Electric properties of insulators, 9.1 Dielectrics

Lecture 29, Mar 15

Joint DOS and optical conductivity

Lecture 30, Mar 16

Challenges, the future in condensed matter and materials physics

• Example Sheet 1 (with Solutions)
• Example Sheet 2 (with Solutions)
• Example Sheet 3 (with Solutions)
• Example Sheet 4 (with Solutions)
• Example Sheet 5 (with Solutions)

Examination questions from the previous year are here.

• Exam 2010-11

The exam and its solutions are available in hardcopy from the UG office.

Suggested reading:

• JR Hook and HE Hall, Solid State Physics, Wiley. All figures used from the book are downloadable from the library at this link.
• L Solymar and D Walsh, Electrical Properties of Solids, Oxford University Press

Further reading materials:

• NW Ashcroft and ND Mermin, Solid State Physics, Saunders College

Internet materials:

• Math, Physics, and Engineering Applets: http://www.falstad.com/mathphysics.html
• Periodic Table of Elements http://www.webelements.com/

Papers and theses as used in the lectures:

• M.O. Blunt et al., "Random Tiling and Topological Defects in a Two-Dimensional Molecular Network", Science 322, 1077 (2008)
• B. Weber, S. Mahapatra, H. Ryu, S. Lee, A. Fuhrer, T. C. G. Reusch, D. L. Thompson, W. C. T. Lee, G. Klimeck, L. C. L. Hollenberg, M. Y. Simmons, "Ohm’s Law Survives to the Atomic Scale", Science 355, 64-67 (2012)
• B. Dora, "Wiedemann-Franz law in the SU(N) Wolff model", Phys. Rev. B 74, 161101(R) (2006)
• R. Dingle et al., "Quantum States of Confined Carriers in Very Thin Al_xGa_1-xAs-GaAs-Al_xGa_1-xAs Heterostructures", Phys. Rev. Lett. 33, 827-830 (1974)
• L.J. Vasquez et al., "Multifractal analysis of the metal-insulator transition in the 3D Anderson model I: Symmetry relation under typical averaging", Phys. Rev. B 78, 195106-10 (2008)
• C. Sohrmann, "Interactions in the Integer Quantum Hall Effect", Ph.D. thesis, University of Warwick, August 2007.
• J. Jain, "The composite Fermion: a quantum particle and its quantum fields", Physics Today, April 2000
• A. M. Fischer, V. L. Campo Jr., M. E. Portnoi, R. A. Römer, "Exciton storage in a nano-scale Aharonov-Bohm ring with electric field", Phys. Rev. Lett. 102, 096405-4 (2009)
• C. Villagonzalo, R. A. Römer, M. Schreiber, "Thermoelectric transport properties in disordered systems near the Anderon transition", Eur. Phys. J. B 12, 179-189 (1999).