Pre-reading List 2015

UPDATED - SUGGESTED PRE-READINGS FROM THE FOLLOWING LECTURER (as of July 24, 2015):

Greg Moore:

  1. To prepare for his lecture, please review his lecture notes here and attempt some of the exercises at the end of Section 1.6.3 (pp. 22-25)

Nicholas Read:​

  1. "Topological phases and quasiparticle braiding," http://scitation.aip.org/content/aip/magazine/physicstoday/article/65/7/...

Xiao-Gang Wen:

  1. Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, Xiao-Gang Wen, "Symmetry protected topological orders in interacting bosonic systems," arXiv:1301.0861 
  2. Xiao-Gang Wen, "Construction of bosonic symmetry-protected-trivial states and their topological invariants via G×SO(∞) non-linear σ-models," arXiv:1410.8477

 

SUGGESTED PRE-READINGS FROM THE FOLLOWING LECTURER (as of July 16, 2015):

Charles Kane:​

1. Hasan and Kane, Colloquium: Topological Insulators, Rev. Mod. Phys. 82, 3045 (2010).
http://www.physics.upenn.edu/~kane/pubs/fp65.pdf

2. “Topological Band Theory and the Z2 Invariant,” C. L. Kane.   Chapter 1 of “Topological insulators” edited by M. Franz and L. Molenkamp, Elsevier, 2013.
http://www.physics.upenn.edu/~kane/pubs/chap1.pdf

 

SUGGESTED PRE-READINGS FROM THE FOLLOWING LECTURER (as of June 22, 2015):

Shivaji Sondhi:

1. Spin ice as a system with classical topological order 
http://www.annualreviews.org/doi/abs/10.1146/annurev-conmatphys-020911-125058

2. Topological order in Floquet systems.
Section 2 of http://arxiv.org/abs/1407.4803

 

SUGGESTED PRE-READINGS FROM THE FOLLOWING LECTURER (as of May 4, 2015):

Greg Moore:

1. The material for his lectures will be taken from his own on-line lecture notes:  http://www.physics.rutgers.edu/~gmoore/ViennaLecturesF.pdf.  The main goal will be to get to sections 2.5 and 2.6. 

2. F.J. Dyson, “The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics,’ J. Math. Phys. 3, 1199 (1962)

3. A. Kitaev, “Periodic table for topological insulators and superconductors,” AIP Conf. Proc. 1134 (2009) 22-30; arXiv:0901.2686

4. M.R. Zirnbauer, “Symmetry Classes,” arXiv:1001.0722 
 

SUGGESTED PRE-READINGS FROM THE FOLLOWING LECTURERS (as of April 22, 2015):

M. Zahid Hasan:

1. “Topological Insulators” M. Z. Hasan and C. L. Kane; Rev. Mod. Phys. 82, 3045 (2010) link: http://journals.aps.org/rmp/abstract/10.1103/RevModPhys.82.3045

2. “Three-Dimensional Topological Insulators” M. Z. Hasan and J. E. Moore; Ann. Rev. Cond. Mat. Phys. 2, 55 (2011) link: http://www.annualreviews.org/doi/abs/10.1146/annurev-conmatphys-062910-140432

3. “Topological Insulators, Topological Dirac/Weyl Semimetals, Topological Crystalline Insulators and Topological Kondo Insulators” M. Z. Hasan, S.-Y. Xu, M. Neupane; Preprint at arXiv:1406.1040v2 (2014) link: http://arxiv.org/abs/1406.1040

If you are unable to access the papers using the above links, please visit http://physics.princeton.edu/zahidhasangroup/index.html to locate the papers.

 

Edward Witten:

1. M. Z. Hasan and C. L. Kane ``Topological Insulators'' arXiv:1002.3895 

2. X.-L. Qi and Shou-Cheng Zhang ``Topological Insulators and Superconductors''  arXiv:1008.2026