Sections of the course Quantum Physics of Solids

with lecture slides (mostly in English)


The main books for reading:

1. Charles Kittel "Introduction to Solid State Physics". I suggest its 8th Edition.
2. A.A. Abrikosov "Fundametals of the theory of metals"


Introduction and background. Fundamentals of statistical physics and perturbation theory.

0FromStatPhysics.pdf

1Introduction.pdf

PhaseTransitions.pdf

PerturbationTheory.pdf


Crystal structure

2aCrystals.pdf

2bCrystalsXRay.pdf

2i.pdf

Chapters 1 and 2 in Kittel's book


Liquid Crystals

LiquidCrystals.pdf


Types of bonding in solids

3bonds.pdf

3Covalent.pdf

Chapter 3 in Kittel's book


Elastic properties of crystals (classical theory of elasticity)

4_TheoryOfElasticity.pdf

Chapter 3 in Kittel's book and/or chapters 1 and 3 in Volume 7 of "Elasticity Theory" in the theoretical physics course by L.D. Landau and E.M. Lifshitz


Phonons. Their classification and dispersion law

1D atomic chain with one atom per unit cell: 4a.pdf

1D atomic chain with two atoms per unit cell: 4b.pdf

Localized modes: 4Loc.pdf

Optical Phonons (illustration & relation to dielectric function): 4c.pdf

Chapter 4 in Kittel's book


Heat capacity of dielectrics. Debye and Einstein models. Coefficient of thermal expansion.

5PhenomenologySpecificHeat.pdf

5PhononsSpecificHeat.pdf

Crystal thermal energy and phonon density of states: 5_h.pdf

5_VanHove.pdf

5ThermalExpansion.pdf

Chapter 5 in Kittel's book (parts 1 and 2 of this chapter)

6Amorphous.pdf


Thermal conductivity of dielectrics

6ThermalCond.pdf  

7aMeasurementOfThermalCond.pdf  

Chapter 5 in Kittel's book (part 3 of this chapter)


Dielectric susceptibility

8Dielectric.pdf

Chapter 16 in Kittel's book.  


Magnetism. Diamagnets and paramagnets

12MagnetismPart1.pdf

12Part1Add.pdf

Chapter 11 in Kittel's book..


The nature of exchange interactions

12Part2MagInteraction.pdf  

koch.pdf

Lecture Koch for a better understanding of the slides. This material is not in Kittel's book!


Ferromagnetism

12Part3Ferromagnetism.pdf

Chapter 12 in Kittel's book.

Antiferromagnetism

12Part3Ferri_AntiFerroMagnetismNeutrons.pdf

Chapter 12 in Kittel's book.


Magnetic resonance. Adiabatic demagnetization.

12Z_MagneticResonance.pdf  

Chapter 13 in Kittel's book.

AddText.pdf


Additional Questions on Magnetism.

Itinerant ferromagnetism (Stoner instability). Magnetic frustrations and spin glasses. Spin-orbit interaction in metals.

12Part4.pdf  

12Z_SpinOrbitInteraction.pdf


Crystal defects. Hopping conductivity.

Defects.pdf

Chapters 20, 21 from Kittel's book. For hopping conductivity, see slides or V.F. Gantmakher's book "Electrons in Disordered Media" (Chapter 4) [in Russian].


Electronic properties of metals

Band structure of metals, Bloch's theorem, electron dispersion law in metals, heat capacity of metals: MetalsLecture1.pdf  

Methods for studying the electronic structure of metals: ARPES and quantum oscillations: ARPES_MQO.pdf

Kinetic properties of electrons in metals and magnetoresistance: MetalsLecture2.pdf  

Skin effect: MetalsLecture3.pdf

Chapter 9 from the Kittel's book, A.A. Abrikosov "Fundametals of the theory of metals"; (first chapters).


Additional sections of solid-state physics

Additional sections of solid-state physics: Charge density waves. Raman spectroscopy. Perovskites.

Charge density waves: CDW.pdf  

Raman Spectroscopy slides  

Raman spectroscopy, supporting text (in Russian)  

Perovskites_crystal_structure_important_compounds_properties_My.pdf  


Second semester: Superconductivity: An Introduction (A more detailed study requires a separate course)

Applications of superconductors and high-temperature superconductors: SuperconductivityHighLights.pdf  

General properties of superconductors: thermodynamics, the Meissner effect, the nature of the attraction between electrons through phonon exchange  

Ginzburg-Landau functional


Homework Assignments

ZadachiKontrolnoj1.pdf  

ZadachiKontrolnojMetals.pdf  

ZadachiKotrolnojMagnetism.pdf


Planned exam tickets for the fall semester (preliminary exam instead of the final lecture in December)

Bilety.doc   or Bilety.pdf


Typical coursework topics (for MISiS Master's students, defense by the end of December)

TemyKursovyhRabot.pdf


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