Condensed Matter Physics II

Welcome to the Fall 2016 web page for PHYS561

Lectures: Tue, Thur: 11:00 AM - 12:20 PM in 158 Loomis

Instructor:
Shinsei Ryu
- e-mail: ryuu_at_illinois_dot_edu
- phone: 217 333 4229
- office: 2129 Engineering Sciences Building (ESB)

Grader:
Apoorv Tiwari
- e-mail: t.apoorv_at_gmail_com
- office: 4111 Engineering Sciences Building

Course Overview

Homework

There will be five homework sets. Homework sets should be placed in the 561 homework box (located on the north side of Loomis Lab, between rooms 267 and 271 LLP) by 05:00PM on the day of the due date. Unless a valid, verifyable excuse is given, homework sets which are submitted late will receive a 50% penalty. Homework sets which are turned in after one week from their due date will receive no credit. You may discuss the homework problems with your classmates, but each student is required to provide his/her own solutions.

Grading policies

Your grade will be based on the homework assignments, and terms papers.

Term paper instruction

You need to submit a term paper and give an oral pesenation on 12/15 (see final exam schedule below). For the term paper, you are asked to choose a research paper (or papers) of your interest (but the contents of the paper should be roughtly in accord with the lectures). Some suggested materials are posted at the bottom of this page. (Suggested papers will be added continuingly through the semester.) The oral presentation takes place on 12/15 for 7:00pm - 10:00pm at 158 Loomis.

Office hours (Tentative plan)

Tuesday 3:00- 4:00 pm Shinsei Ryu (@ 2129 ESB)
Monday 3:00 - 4:00 pm Apoorv Tiwari (@ 4111 ESB)

Textbook and references

Field theories of condensed matter physics by E Fradkin Cambridge University Press
Quantum Many-particle Systems (Advanced Books Classics) by Negele and Orland
Condensed Matter Field Theory by Altland and Simons
Quantum Field Theory in Condensed Matter Physics by Nagaosa
Quantum Field Theory in Strongly Correlated Electronic Systems by Nagaosa
Renormalization Group Approach to Interacting Fermions (Review of Modern Physics) by R Shankar
Effective Field Theory and the Fermi Surface by J Polchinski, arXiv:hep-th/9210046
One-dimensional Fermi liquids, cond-mat/9510014

Lecture notes

Lecture notes I (last updated: 09/13) Lecture notes II (last updated: 10/17) Lecture notes III (last updated: 10/17)

Tentative course syllabus

Week	Date	Lecture	Homework
1	08/23	Intro
1	08/25	Many-body QM/quantum stat mech
2	08/30	Correlation functions, Linear response
	09/01	Correlation functions, Linear response
	09/02	Path integral (single-particle)
3	09/06	Electron gas, perturbation theory	HW1 (due 09/20) HW1sol
	09/08	Electron gas, Hartree-Fock
	09/09	Path integral
4	09/13	Electron gas, RPA
	09/15	quasiparticles and plasmons
	09/16	SSB/superfluid
5	09/20	quasiparticles and plasmons	HW2 (due 10/04) HW2sol
	09/22	Superconductivity
	09/23	RG
6	09/27	Superconductivity
6	09/29	RG
7	10/04	No lecture	HW3 (due 10/18) HW3sol
7	10/06	RG	HW3 (due 10/18) HW3sol
8	10/11	Fermi liquid (RG)
8	10/13	KT
9	10/18	Fermi liqud (RG) Antiferromagnet, Mott insulators, etc.	HW4 (due 11/01) HW4sol
9	10/20	KT	HW4 (due 11/01) HW4sol
10	10/25	Antiferromagnet, Mott insulators, etc.
10	10/27	KT
11	11/01	1d electrons
11	11/03	KT transition
12	11/08	No lecture	HW5 (due 11/29) HW5sol
12	11/10	No lecture	HW5 (due 11/29) HW5sol
13	11/15	No lecture
13	11/17	No lecture
14	11/22	Thanksgiving break
14	11/24	Thanksgiving break
15	11/29	No lecture
15	12/01	1d electrons
16	12/06	1d elecrons
16	12/08	No lecture
	12/15	Final exam 7:00pm - 10:00pm 158 Loomis

Term papers: suggested materials

Application of Gutzwiller's Variational Method to the Metal-Insulator Transition, W. F. Brinkman and T. M. Rice, Phys. Rev. B 2, 4302 (1970)

Hidden Charge 2e Boson in Doped Mott Insulators: Field Theory of Mottness, Robert G. Leigh, Philip Phillips, Ting-Pong Choy, cond-mat/0612130

"Deconfined" quantum critical points, T. Senthil, Ashvin Vishwanath, Leon Balents, Subir Sachdev, M. P. A. Fisher, cond-mat/0311326

Absence of Luttinger's Theorem due to Zeros in the Single-Particle Green Function, Kiaran B. Dave, Philip W. Phillips, Charles L. Kane, arXiv:1207.4201

Quantum Theory of a Nematic Fermi Fluid, Vadim Oganesyan, Steven Kivelson, Eduardo Fradkin, cond-mat/0102093

Bosonization of the Low Energy Excitations of Fermi Liquids, A.H.Castro Neto, Eduardo Fradkin, cond-mat/9304014

Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order, Max A. Metlitski, Subir Sachdev, arXiv:1001.1153

Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice, Masaki Oshikawa, cond-mat/0002392

Electronic Liquid Crystal Phases of a Doped Mott Insulator, S. A. Kivelson, E. Fradkin, V. J. Emery, cond-mat/9707327.

Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice, Masaki Oshikawa, cond-mat/9911137

Non-zero temperature transport near quantum critical points, Kedar Damle, Subir Sachdev, cond-mat/9705206

The N-chain Hubbard Model in Weak Coupling, Hsiu-Hau Lin, Leon Balents, Matthew P. A. Fisher, cond-mat/9703055

Anomalous Scaling at the Quantum Critical Point in Itinerant Antiferromagnets, Ar Abanov and A. Chubukov, Phys. Rev. Lett. 93, 255702.