1. Partial bosonization for the two-dimensional Hubbard model
- Author
-
Mario Mitter, Christof Wetterich, Masatoshi Yamada, Jan M. Pawlowski, and Tobias Denz
- Subjects
Condensed Matter::Quantum Gases ,Physics ,Bosonization ,Hubbard model ,02 engineering and technology ,Electron ,021001 nanoscience & nanotechnology ,Residual ,01 natural sciences ,Vertex (geometry) ,Renormalization ,0103 physical sciences ,Antiferromagnetism ,Condensed Matter::Strongly Correlated Electrons ,010306 general physics ,0210 nano-technology ,Order set ,Mathematical physics - Abstract
Partial bosonization of the two-dimensional Hubbard model focuses the functional renormalization 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 bosonization techniques can improve the accuracy of renormalization flow studies also for the case of competing order.
- Published
- 2020