2014/02/28 by Jörn W. F. Venderbos, Marco Manzardo, Dmitry V. Efremov +2 · 31 citations
Mathematics · Physics and Astronomy · #Abelian group #Advanced Condensed Matter Physics #Algorithm #Combinatorics #Computer science #Fermion #Mathematics #Physics #Quantum many-body systems #Quantum mechanics #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.93.045428
published in Physical review. B./Physical review. B 93(4) (American Physical Society) · 5 pages, 2 figures
openalex publication_date 2016/01/27 · arxiv created 2016/01/28 · arxiv updated 2016/01/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider a system of spinless fermions on the honeycomb lattice with substrate-induced modulated electrostatic potentials tripling the unit cell. The resulting non-Abelian SU(2) gauge fields act cooperatively to realize a quadratic band crossing point (QBCP). Using a combination of mean-field theory and renormalization group techniques, we show that in the QBCP regime, arbitrarily weak repulsive electronic interactions drive the system into the quantum anomalous Hall state. This proves that substrate-induced local voltages are an effective knob to induce the spontaneous formation of a topological quantum phase.