The effective field theory of \((2+1)\)-dimensional topological insulator in the presence of Rashba spin-orbit interaction (Q2857970)

In this paper, the authors consider \(2+1\) dimensional topological insulator described by the Kane-Mele model in the presence of Rashba spin-orbit interaction. They construct the related Green functions and calculate explicitly the coefficients appearing in the action. Also, they discuss how to extend this method to obtain the effective action for the fully fledged Kane-Mele model. They study the link between the coefficients taking part in the effective theory and topological Chern numbers. They demonstrate that the coefficients of the Chern-Simons terms are given by the first Chern number. They derive the effective field theory of external fields considering the Kane-Mele model Lagrange density in the presence of Rashba spin-orbit interaction. Lastly, a possible relation to another approach and the results are discussed.