Solid state physics 1

Evolving Provisional Agenda

Week 1, Week 2, Week 3, Week 4,

Week 5, Week 6, Week 7, Week 8,

Week 9, Week 10, Week 11, Week 12,

Week 13, Week 14, Week 15 Week 16

1) Tuesday August 26

0) INTRODUCTION TO THE CLASS (Notes)

A) Content and bibliography

B) Practical organization of the class

C) What is solid state physics and why bother?

1) BOUNDING IN SOLIDS (Notes)

A) Introduction

B) Classification of solids

1) Ionic crystals

2) Covalent crystals

3) Molecular or van der Waals bounding

4) Hydrogen bounds

5) Metallic bounding

C) Cohesive energy and mechanical properties

1) Definitions

2) Bulk modulus

2) Thursday August 28

3) Further mechanical properties (Young modulus, Poisson ratio, role of defects,...)

3) Tuesday September 2

D) A model for covalent bounds: tight binding (light quantum mechanics review)

4) Thursday September 4

2) CRYSTAL STRUCTURES (Notes)

A) Bravais lattices (Figures)

B) Reciprocal lattices

1) Definitions

5) Tuesday September 9

1) Definitions for reciprocal lattices continued

2) Planes and directions in Bravais lattice (Miller indices)

3) Brillouin zones

6) Thursday September 11

3) Brillouin zones continued

C) Scattering of particles by crystals

1) Introduction

2) Bragg formulation

3) von Laue formulation

7) Tuesday September 16

4) Scattering amplitude

5) Examples in cubic lattices

6) Experimental techniques

7) Worked out example (Worksheet)

8) Thursday September 18

3) THERMAL PROPERTIES OF MATERIAL (Notes)

A) Early days: Solid State Physics without crystal structure

1) Specific heat: a reminder

2) Boltzmann factors and partition functions

3) Einstein's specific heat (1907 paper by A.Einstein)

9) Tuesday September 23

4) Debye's specific heat

10) Thursday September 25

4) Debye's specific heat continued

5) Density of States

B) Lattice dynamics

1) Monoatomic one dimensional lattice

11) Tuesday October 30

1) Monoatomic one dimensional lattice continued (we calculated the specific heat of the monoatomic one dimensional crystal)

2) Diatomic one dimensional lattice

12) Thursday October 2

3) Review of the quantum harmonic oscillator

4) Quantization of lattice vibrations: phonons

13) Tuesday October7

5) Experimental access to phonon dispertion relations

7) Effects from anharmonic terms

14) Thursday October 9

7) Effects from anharmonic terms continued

4) CLASSICAL MODEL OF ELECTRIC PROPERTIES (Notes)

A) Construction of the model (Paper 1 and Paper 2)

B) D.C. Conductivity

*) Tuesday October 13

*) Thursday October 15

15) Tuesday October 21

C) The Hall effect (Original 1879 paper and a recent paper on the history of the discovery of the Hall effect)

D) A.C. Conductivity

16) Thursday October 23

E) Thermal conductivity of metals

5) QUANTUM APPROACH TO ELECTRICAL PROPERTIES PREMIERE: IGNORING THE CRYSTAL STRUCTURE (Notes)

A) Fermi-Dirac statitistics

B) Ground state (T=0) of the electron gas

17) Tuesday October 28

B) Ground state (T=0) of the electron gas continued

C) Electronic heat capacity

18) Thursday October 30

C) Electronic heat capacity continued

D) Problems and limitations of the free electron models

E) Digretion: Conductance quantization

19) Tuesday November 4

F) Digretion: Magnetic susceptibility of the free electron gas: Pauli paramagnetism

G) Electrostatic screening in metals (Thomas-Fermi)

20) Thursday November 6

H) General considerations on many interacting electrons problems

1) Introduction

2) Self consistent Hartree approximation

3) Many electrons wave functions as Slater determinants

4) The Hartree-Fock approximation

21) Tuesday November11

4) The Hartree-Fock approximation continued

5) Second quantization for identical fermions

22) Thursday November 13

6) Density Functional Theory

6) QUANTUM APPROACH TO ELECTRICAL PROPERTIES DEUXIEME: INCLUDING THE CRYSTAL STRUCTURE (Notes)

A) The Bloch theorem and application to the Kronig-Pennery model (see their 1930 paper)

23) Tuesday November 18

A) The Bloch theorem and application to the Kronig-Pennery model continued

24) Thursday November 20

B) The tight binding model continued

C) The nearly free electron picture

1) Time independent perturbations

2) Application to the nearly free electron model

D) Band theory of electrons

25) Tuesday November 25

D) Band theory of electrons continued (Check out this paper on Bloch oscillations)

E) Insulators, semiconductors and metals

*) Thursday November 27

26) Tuesday December 2

F) Tight binding: get real (Quickly for the homework)

1) Generalities

2) s-band and p-band in a monoatomic FCC

G) Boltzman equation (Quickly too, but it is important)

1) Introduction

2) DC conductivity of metals

H) Dependance of metal conductivity on temperature (Quickly too, but it is a nice picture to have in mind)

7) SEMI-CONDUCTORS AND APPLICATIONS (Notes)

A) Intrinsic semiconductors

27) Thursday December4

A) Intrinsic semiconductors (Continued)

B) Off equilibrium carrier distribution (Gunn effect as an example)

C) Tight Binding impurity model (Quickly, just to give you the idea we do not have enough time to go in the details)

D) Doping of semi-conductor

E) The p-n junction (ok, I missed that but it is in the notes)

F) Transistor (Yes, I missed that too)

7) MAGNETISM (Of course, I did not cover any of this but here is as far as I went in the Notes. Also, I thought you would be interested by this paper on the quantum Hall effect.)

28) Tuesday December 9:

29) Thursday December 11:

30) Friday December 12: