Partial bosonisation for the two-dimensional Hubbard model

• Verfasst von: Denz, Tobias [VerfasserIn]
• Verfasst von: Pawlowski, Jan M. [VerfasserIn]
• Verfasst von: Wetterich, Christof [VerfasserIn]
• Verfasst von: Yamada, Masatoshi [VerfasserIn]
• Titel: Partial bosonisation for the two-dimensional Hubbard model
• Titelzusatz: How well does it work?
• Verf.angabe: Tobias Denz, Mario Mitter, Jan M. Pawlowski, Christof Wetterich, and Masatoshi Yamada
• E-Jahr: 2019
• Jahr: 18 Oct 2019
• Umfang: 18 S.
• Fussnoten: Gesehen am 18.02.2020
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2019
• Band/Heft Quelle: (2019) Artikel-Nummer 1910.08300, 18 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Condensed Matter - Strongly Correlated Electrons
• Sach-SW: Condensed Matter - Superconductivity
• Sach-SW: High Energy Physics - Theory
• K10plus-PPN: 1690229497

Abstract

Partial bosonisation of the two-dimensional Hubbard model focuses the functional renormalisation flow on channels in which interactions become strong and local order sets in. We compare the momentum structure of the four-fermion vertex, obtained on the basis of a patching approximation, to an effective bosonic description. For parameters in the antiferromagnetic phase near the onset of local antiferromagnetic order the interaction of the electrons is indeed well described by the exchange of collective bosonic degrees of freedom. The residual four-fermion vertex after the subtraction of the bosonic exchange contribution is small. We propose that similar partial bosonisation techniques can improve the accuracy of renormalisation flow studies also for the case of competing order.