PH320: Condensed Matter Physics II


Instructors: Subroto Mukerjee (email: smukerjee@physics.iisc.ernet.in) and Chandan Dasgupta (cdgupta@physics.iisc.ernet.in)

Graders: Sumilan Bannerjee (email: sumilan@physics.iisc.ernet.in) and Subhro Bhattacharjee (email: subhro@physics.iisc.ernet.in)

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

 

Problem set 2

 

Problem set 3

 

Problem set 4

 

Midterm exam Solutions

 

Problem set 5

 

Problem set 6 Lattice vibrations

 

Problem set 7 Electron-phonon coupling

 

Problem set 8 Transport properties