University of Minnesota
School of Physics & Astronomy

Phys 8750.001

Advanced Topics in Condensed Matter Physics

Week of Dec 4 Sigma models
modified 14-Dec-2017 at 12:05PM by Alex Kamenev

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Symmetry Classes, topological classification | Download posted 14-Dec-2017 at 12:05PM

Week of Nov 6. Bososnization
modified 5-Nov-2017 at 3:18PM by Alex Kamenev

Derive RG equations for 1+1=2 dimensional Sin-Gordon model. You may follow the attached paragraph from
Altland&Simons text, or use any other approach.

Text on RG for BKT transition = 2d Sin-Gordon model | Download posted 5-Nov-2017 at 3:18PM

Week of October 30. Bosonization
modified 31-Oct-2017 at 3:37PM by Alex Kamenev
[Link] Haldane's paper introducing bosonization and Luttinger liquid
[Link] Good review of bosonization of fermions
[Link] Good review of bosonization of bosons

Week of October 23 Bethe Ansatz
modified 6-Nov-2017 at 12:37PM by Alex Kamenev
[Link] Bethe Ansatz for 1d Bose gas
[Link] Excitation spectrum of 1d Bose gas
Due Nov 2 | Download posted 26-Oct-2017 at 11:38PM
Solutions for Coulomb gas, Copyright Bo Xiong | Download posted 6-Nov-2017 at 12:37PM

Week of October 16. Kohn-Luttinger
modified 6-Nov-2017 at 12:38PM by Alex Kamenev
Due Thurs Oct. 26 | Download posted 20-Oct-2017 at 12:12PM
Solutions for Ising model problem. Copyright Hanteng Wang | Download posted 6-Nov-2017 at 12:38PM

Week of October 8, RG
modified 13-Oct-2017 at 10:10AM by Alex Kamenev
Due Thurs Oct. 19 | Download posted 13-Oct-2017 at 10:10AM

Week of Oct. 1 RG
modified 17-Oct-2017 at 4:29PM by Alex Kamenev
Due Thurs Oct. 12 | Download posted 7-Oct-2017 at 9:26AM

Week of Sept 24 Stoner and BCS instabilities
modified 29-Sep-2017 at 2:16PM by Alex Kamenev
Due Thurs. Oct 5 | Download posted 29-Sep-2017 at 2:16PM

Week of Sept 17 Interaction channels
modified 21-Sep-2017 at 10:13PM by Alex Kamenev
Due Thurs Sept 28 | Download posted 21-Sep-2017 at 10:13PM

Week of Sept 11. Grassmann variables
modified 15-Sep-2017 at 9:35PM by Alex Kamenev
Due Thurs Sept 21 | Download posted 15-Sep-2017 at 9:35PM

Week of Sept. 4 Coherent State integral
modified 7-Sep-2017 at 6:22PM by Alex Kamenev
[Link] R. Shankar Renormalization-group approach to interacting fermions
A good text on Coherent State Integral | Download posted 7-Sep-2017 at 6:19PM
Set 1 is due Thurs. Sept 14 | Download posted 7-Sep-2017 at 6:17PM