Physics – Mathematical Physics
Scientific paper
2011-09-22
Annals of Physics 327 (2012) 935-951
Physics
Mathematical Physics
20 pages. Few corrections and Refs. added
Scientific paper
10.1016/j.aop.2011.11.013
Employing the Foldy-Wouthuysen transformation it is demonstrated straightforwardly that the first and second Chern numbers are equal to the coefficients of the 2+1 and 4+1 dimensional Chern-Simons actions which are generated by the massive Dirac fermions coupled to the Abelian gauge fields. A topological insulator model in 2+1 dimensions is discussed and by means of a dimensional reduction approach the 1+1 dimensional descendant of the 2+1 dimensional Chern-Simons theory is presented. Field strength of the Berry gauge field corresponding to the 4+1 dimensional Dirac theory is explicitly derived through the Foldy-Wouthuysen transformation. Acquainted with it the second Chern numbers are calculated for specific choices of the integration domain. A method is proposed to obtain 3+1 and 2+1 dimensional descendants of the effective field theory of the 4+1 dimensional time reversal invariant topological insulator theory. Inspired by the spin Hall effect in graphene, a hypothetical model of the time reversal invariant spin Hall insulator in 3+1 dimensions is proposed.
Dayi Omer F.
Elbistan M.
Yunt E.
No associations
LandOfFree
Effective field theory of topological insulator and the Foldy-Wouthuysen transformation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Effective field theory of topological insulator and the Foldy-Wouthuysen transformation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effective field theory of topological insulator and the Foldy-Wouthuysen transformation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-263003