Matrix element interference in $N$-patch functional renormalization group

Abstract

We show that the N-patch functional renormalization group (pFRG), a theoretical method commonly applied for correlated electron systems, is unable to implement consistently the matrix element interference arising from strong momentum dependence in the Bloch state contents or the interaction vertices. We show that such a deficit could lead to results incompatible with checkable limits of weak and strong coupling. We propose that the pFRG could be improved by a better account of momentum conservation.

5 pages, 3 figures

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Cited by in corpus (3)

• The kagome Hubbard model from a functional renormalization group perspective
• Electronic orders on the kagome lattice at the lower Van Hove filling
• Charge bond order and s-wave superconductivity in the kagome lattice with electron-phonon coupling and electron-electron interaction