Electronic instabilities of the extended Hubbard model on the honeycomb lattice from functional renormalization

• Verfasst von: Volpez, Yanick A. [VerfasserIn]
• Verfasst von: Scherer, Daniel David [VerfasserIn]
• Verfasst von: Scherer, Michael [VerfasserIn]
• Titel: Electronic instabilities of the extended Hubbard model on the honeycomb lattice from functional renormalization
• Verf.angabe: Yanick Volpez, Daniel D. Scherer, and Michael M. Scherer
• E-Jahr: 2016
• Jahr: [2016]
• Umfang: 9 S.
• Illustrationen: Diagramme
• Fussnoten: Gesehen am 04.06.2020
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Woodbury, NY : Inst., 2016
• Jahr Quelle: 2016
• Band/Heft Quelle: 94(2016,16) Artikel-Nummer 165107, 9 Seiten
• ISSN Quelle: 2469-9969
• DOI: doi:10.1103/PhysRevB.94.165107
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 169978907X

Abstract

Interacting fermions on the half-filled honeycomb lattice with short-range repulsions have been suggested to host a variety of interesting many-body ground states, e.g., a topological Mott insulator. A number of recent studies of the spinless case in terms of exact diagonalization, the infinite density matrix renormalization group, and the functional renormalization group, however, indicate a suppression of the topological Mott insulating phase in the whole range of interaction parameters. Here, we complement the previous studies by investigating the quantum many-body instabilities of the physically relevant case of spin-1/2 fermions with onsite, nearest-neighbor, and second-nearest-neighbor repulsion. To this end, we employ the multipatch functional renormalization group for correlated fermions with refined momentum resolution observing the emergence of an antiferromagnetic spin-density wave and a charge-density wave for dominating onsite and nearest-neighbor repulsions, respectively. For dominating second-nearest neighbor interaction our results favor an ordering tendency towards a charge-modulated ground state over the topological Mott insulating state. The latter evades a stabilization as the leading instability by the additional onsite interaction.