Phy216

Physics 216:

Special Topics in Solid State Physics

Quantum Magnetism

Location and Timings

Class: Tue, Thu 12:30-2 pm in  Evans 5.
Office hours: 4-5pm, Wednesdays. Birge 563.
 
 
Problem Sets:
1. Problem Set 1 (Due Date: Feb 26) [Solutions]
2. Problem Set 2 (Due Date: Apr 21) [Solutions]
 
Lecture Notes:
 
13 Apr 7-9 [Bosonization 1]
14 Apr 14  [Bosonization 2]
 

Course Outline

This is a special topics course aimed at graduate students interested in modern condensed matter physics. Basic concepts of Many Body physics will be discussed in the context of quantum spin systems. Insulating quantum magnets are the simplest physical systems that realize a variety of nontrivial phenomena, including collective effects such as spontaneous symmetry breaking and quantum number fractionalization. The course will cover both conceptual ideas and theoretical techniques and also discuss physical realizations and experimental probes of magnetism.

Audience

The course will be relevant to students interested in condensed matter theory, field theory and quantum information as well as condensed matter experimentalists. No advanced courses are required as a prerequisite.

 

Brief Contents (detailed contents can be found here)

  1. Spontaneous symmetry breaking and ordering transitions
  2. Origin of magnetic interactions in materials. Probes of magnetism
  3. Quantum spins in one dimension - Luttinger Liquids and Bosonization
  4. Fractionalization and Spin Liquids in D=2 (time permitting) 


Evaluation

  1. Project 35%
  2. Assignments (two) 50%
  3. Class Participation 15%

Textbooks

  1. Auerbach, A., Quantum Magnetism and Interacting Electrons, Springer Verlag, NY . (partly available here )
  2. Sachdev, S., Quantum Phase Transitions. Cambridge University Press.
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Ashvin Vishwanath,
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