2013/02/28 by Malte Schüler, M. Schüler, M. Rösner +5 · 266 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Coulomb #Electron #Feynman diagram #Graphene #Hubbard model #Lattice (music) #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Silicene #Superconductivity #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.111.036601
published in Physical Review Letters 111(3), 036601 (American Physical Society) · Accepted for publication in PRL. Supplemental material added in this version
arxiv created 2013/07/02 · openalex publication_date 2013/07/16 · arxiv updated 2013/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
To understand how nonlocal Coulomb interactions affect the phase diagram of correlated electron materials, we report on a method to approximate a correlated lattice model with nonlocal interactions by an effective Hubbard model with on-site interactions U(*) only. The effective model is defined by the Peierls-Feynman-Bogoliubov variational principle. We find that the local part of the interaction U is reduced according to U(*)=U-V[over ¯], where V[over ¯] is a weighted average of nonlocal interactions. For graphene, silicene, and benzene we show that the nonlocal Coulomb interaction can decrease the effective local interaction by more than a factor of 2 in a wide doping range.