71 citations · 301 across the 14 of their papers we have counts for
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Coexisting magnetic, charge, and superconducting orders in the two-dimensional Hubbard model
Robin Scholle, Pietro M. Bonetti, Walter Metzner +1
We perform a renormalized mean-field study of the two-dimensional repulsive Hubbard model, focusing on the intricate interplay and possible coexistence of magnetic, charge, and sup…
SC Superconductivity and Spin Stiffnesses in the SU(2) Gauge Theory of the Two-Dimensional Hubbard Model
Demetrio Vilardi, Pietro M. Bonetti
We consider the SU(2) gauge theory for spin fluctuations in the two-dimensional Hubbard model, where the electron field is fractionalized in terms of spinons and chargons. In this…
Spin susceptibility in a pseudogap state with fluctuating spiral magnetic order
Paulo Forni, Pietro M. Bonetti, Henrik Müller-Groeling +2
We compute the electron spin susceptibility in the pseudogap regime of the two-dimensional Hubbard model in the framework of a SU(2) gauge theory of fluctuating magnetic order. The…
Spin stiffnesses and stability of magnetic order in the lightly doped two-dimensional Hubbard model
Demetrio Vilardi, Pietro M. Bonetti, Walter Metzner
We analyze the density dependence of the spin stiffnesses and the stability of magnetic order with respect to quantum fluctuations in the two-dimensional Hubbard model close to hal…
Single-boson exchange formulation of the Schwinger-Dyson equation and its application to the functional renormalization group
Miriam Patricolo, Marcel Gievers, Kilian Fraboulet +6
We extend the recently introduced single-boson exchange formulation to the computation of the self-energy from the Schwinger--Dyson equation (SDE). In particular, we derive its exp…
Spiral to stripe transition in the two-dimensional Hubbard model
Robin Scholle, Walter Metzner, Demetrio Vilardi +1
We obtain an almost complete understanding of the mean-field phase diagram of the two-dimensional Hubbard model on a square lattice with a sizable next-nearest neighbor hopping and…
Comprehensive mean-field analysis of magnetic and charge orders in the two-dimensional Hubbard model
Robin Scholle, Pietro M. Bonetti, Demetrio Vilardi +1
We present an unbiased mean-field analysis of magnetic and charge orders in the two-dimensional Hubbard model on a square lattice, both at zero and finite temperatures. Unrestricte…
Single-boson exchange functional renormalization group application to the two-dimensional Hubbard model at weak coupling
Kilian Fraboulet, Sarah Heinzelmann, Pietro M. Bonetti +4
We illustrate the algorithmic advantages of the recently introduced single-boson exchange (SBE) formulation for the one-loop functional renormalization group (fRG), by applying it…
Single boson exchange representation of the functional renormalization group for strongly interacting many-electron systems
Pietro M. Bonetti, Alessandro Toschi, Cornelia Hille +2
We present a reformulation of the functional renormalization group (fRG) for many-electron systems, which relies on the recently introduced single boson exchange (SBE) representati…
Dynamical functional renormalization group computation of order parameters and critical temperatures in the two-dimensional Hubbard model
Demetrio Vilardi, Pietro M. Bonetti, Walter Metzner
We analyze the interplay of antiferromagnetism and pairing in the two dimensional Hubbard model with a moderate repulsive interaction. Coupled charge, magnetic and pairing fluctuat…
Charge carrier drop at the onset of pseudogap behavior in the two-dimensional Hubbard model
Pietro M. Bonetti, Johannes Mitscherling, Demetrio Vilardi +1
We show that antiferromagnetic spin-density wave order in the two-dimensional Hubbard model yields a drop of the charge carrier density as observed in recent transport measurements…
Antiferromagnetic and d-wave pairing correlations in the strongly interacting two-dimensional Hubbard model from the functional renormalization group
Demetrio Vilardi, Ciro Taranto, Walter Metzner
Using the dynamical mean-field theory (DMFT) as a `booster-rocket', the functional renormalization group (fRG) can be upgraded from a weak-coupling method to a powerful computation…
Dynamically enhanced magnetic incommensurability: Effects of local dynamics on non-local spin-correlations in a strongly correlated metal
Demetrio Vilardi, Ciro Taranto, Walter Metzner
We compute the spin susceptibility of the two-dimensional Hubbard model away from half-filling, and analyze the impact of frequency dependent vertex corrections as obtained from th…
Non-separable frequency dependence of two-particle vertex in interacting fermion systems
Demetrio Vilardi, Ciro Taranto, Walter Metzner
We derive functional flow equations for the two-particle vertex and the self-energy in interacting fermion systems which capture the full frequency dependence of both quantities. T…