2014/07/31 by Pedro R. S. Gomes, Po-Hao Huang, Claudio Chamon +1 · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Effective field theory #Fermion #Gauge theory #Lattice (music) #Mathematical physics #Physics #Quantum many-body systems #Quantum mechanics #Spin–orbit interaction #Theoretical physics #Topological Materials and Phenomena #Topological insulator #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevb.90.115144
published in Physical Review B 90(11) (American Physical Society) · 16 pages, 8 figures; minor corrections; added reference; published version
openalex publication_date 2014/09/24 · arxiv created 2014/09/29 · arxiv updated 2014/09/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We determine the effective field theory in (2+1)-dimensional space and time so that it captures the long-wavelength and low-energy limit of fermions hopping on a honeycomb lattice at half-filling when both dominant intrinsic and subdominant Rashba spin-orbit couplings are present. This effective field theory for a ℤ2^\phantom\rule0.16em0ex topological insulator (the Kane-Mele model at vanishing uniform and staggered chemical potentials) is a perturbation around a double Chern-Simons theory, with the U(1) gauge invariance associated with spin conservation explicitly broken due to the Rashba spin-orbit coupling. Nonetheless, we find that the effective field theory has a Becchi-Rouet-Stora-Tyutin symmetry that allows us to construct the bulk-edge correspondence.