### PH320: Condensed Matter Physics II

**Lectures: **Mon., Wed. and Fri., 11:00-12:00 in Lecture Hall 2 of the
Physics Department

**Graders' office hours: **Wed., 6 PM -7 PM in Rm. R117 of the Physics Department

**Problem sets: **Roughly one every 10 days, about 10 in all

**Evaluation: **30% homework, 35% midterm and 35% final

**Course outline: **Born-Oppenheimer approximation,
second quantization for Fermions and Bosons. Effects of electron-electron
interactions - Hartree – Fock
approximation, exchange and correlation effects, screening, dielectric
function of electron systems, Random Phase approximation, plasma oscillations,
Fermi liquid theory, elementary excitations, quasiparticles.
The Hubbard model, spin-and charge-density wave states, metal-insulator
transition, Mott insulators. Electrons in a magnetic field, Landau levels,
integer quantum Hall effect, elementary introduction to the fractional quantum
Hall effect. Review of harmonic theory of lattice vibrations. Electron-phonon interaction - phonons in metals, mass
renormalization, effective interaction between electrons, polarons.
Superconductivity - phenomenology, Cooper instability, BCS theory, Ginzburg-Landau theory. Transport phenomena, Boltzmann
equation, linear response theory. Density
functional theory, classical liquids and glasses.

**Recommended
textbooks:**

1) Advanced Solid State Physics
by Ashcroft and Mermin

2) Theoretical Solid State
Physics vol. 1 by Jones and March

3) Advanced Solid State Physics
by Phillips

4) Quantum Theory of Solids by Kittel

5) Quantum Theory of the
Electron Liquid by Giuliani and Vignale

6) The Theory of Quantum Liquids
by Pines and Nozieres

7) Interacting Electrons and
Quantum Magnetism by Auerbach

8) Many Particle Physics by
Mahan

**Problem
Sets:**

**Problem set 1**

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**Problem set 2**

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**Problem set 3**

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**Problem set 4**

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**Midterm exam Solutions**

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**Problem set 5**

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**Problem set 6 Lattice vibrations**

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**Problem set 7 Electron-phonon coupling**

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**Problem set 8 Transport properties**

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