2015/11/08 by Moyuru Kurita, Youhei Yamaji, Masatoshi Imada · 15 citations
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Bilayer graphene #Condensed matter physics #Electron #Extrapolation #Fermi energy #Fermi level #Graphene #Graphene research and applications #Hubbard model #Lattice (music) #Mathematics #Physics #Quantum #Quantum mechanics #Topological Materials and Phenomena #Topological insulator #Topological order #Topology (electrical circuits) #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.94.125131
published in Physical review. B./Physical review. B 94(12) (American Physical Society) · 9 pages, 7 figures
arxiv created 2015/11/08 · openalex created_date 2016/06/24 · openalex publication_date 2016/09/16 · arxiv updated 2016/09/21 · openalex updated_date 2026/08/05
Realization and design of topological insulators emerging from electron correlations, called topological Mott insulators (TMIs), is pursued by using mean-field approximations as well as multi-variable variational Monte Carlo (MVMC) methods for Dirac electrons on honeycomb lattices. The topological insulator phases predicted in the previous studies by the mean-field approximation for an extended Hubbard model on the honeycomb lattice turn out to disappear, when we consider the possibility of a long-period charge-density-wave (CDW) order taking over the TMI phase. Nevertheless, we further show that the TMI phase is still stabilized when we are able to tune the Fermi velocity of the Dirac point of the electron band. Beyond the limitation of the mean-field calculation, we apply the newly developed MVMC to make accurate predictions after including the many-body and quantum fluctuations. By taking the extrapolation to the thermodynamic and weak external field limit, we present realistic criteria for the emergence of the topological insulator caused by the electron correlations. By suppressing the Fermi velocity to a tenth of that of the original honeycomb lattice, the topological insulator emerges in an extended region as a spontaneous symmetry breaking surviving competitions with other orders. We discuss experimental ways to realize it in a bilayer graphene system.