Xiao-Liang Qi, Taylor L. Hughes, and Shou-Cheng Zhang. “Topological Field Theory of Time-Reversal Invariant Insulators.” Physical Review B 78, no. 19 (2008): 195424.

Topological Field Theory of Time-Reversal Invariant Insulators – Part 2

As discussed in the paper on 3D topological insulators, using the topological band theory formalism developed by Fu and Kane, the distinction of topological versus trivial band insulators can be accomplished reliably. There are, however, some other exotic (field-theoretic) effects that band theory misses. The so-called topological magneto-electric (TME) effect, and its manifestation in the form of half quantum Hall effect and quantized Kerr rotation, has been predicted to occur on the time-reversal broken surface states of a 3D topological insulator. The above paper develops the necessary formalism, namely dimensional reduction in lattice models with specific symmetries, to obtain the low-energy effective field theory describing the electromagnetic response of surface states of a 3D topological insulator.

With the permission of the presenter, the slides for this journal club meeting can be found in the PDF file here. The PDF slides are only in the reading mode; they do not contain any animations. If you notice any typos or scientific inaccuracies in the slides, I would be grateful if you could bring them to my attention by sending me an email.