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We analyze the interplay of antiferromagnetism and pairing in the two dimensional Hubbard model with a moderate repulsive interaction. Coupled charge, magnetic and pairing fluctuations above the energy scale of spontaneous symmetry breaking…

Strongly Correlated Electrons · Physics 2021-01-04 Demetrio Vilardi , Pietro M. Bonetti , Walter Metzner

A trial wave function is proposed for studying the instability of the two-dimensional Hubbard model with respect to d-wave superconductivity. Double occupancy is reduced in a similar way as in previous variational studies, but in addition…

Strongly Correlated Electrons · Physics 2009-11-11 David Eichenberger , Dionys Baeriswyl

We study the impact of including the self-energy feedback and frequency-dependent interactions on functional renormalization group grows for the two-dimensional Hubbard model on the square lattice at weak to moderate coupling strength.…

Strongly Correlated Electrons · Physics 2013-11-05 Stefan Uebelacker , Carsten Honerkamp

The Hubbard model is reformulated in terms of different ``colored'' fermion species for the electrons or holes at different lattice sites. Antiferromagnetic ordering or d-wave superconductivity can then be described in terms of…

Strongly Correlated Electrons · Physics 2009-10-31 Tobias Baier , Eike Bick , Christof Wetterich

To understand the interplay of d-wave superconductivity and antiferromagnetism, we consider a two-dimensional extended Hubbard model with nearest neighbor attractive interaction. The Hamiltonian is solved in the mean-field approximation on…

Superconductivity · Physics 2009-11-11 W. P. Su

Intertwining of spin, charge and pairing correlations in the repulsive two-dimensional Hubbard model is shown through unrestricted variational calculations, with projected wavefunctions free of symmetry breaking. A crossover from…

Strongly Correlated Electrons · Physics 2015-10-20 Olivier Juillet , Raymond Frésard

Magnetic and superconducting instabilities in the two-dimensional t-t'-Hubbard model are discussed within a functional renormalization group approach. The fermionic four-point vertex is efficiently parametrized by means of partial…

Strongly Correlated Electrons · Physics 2013-05-29 S. Friederich , H. C. Krahl , C. Wetterich

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,…

Strongly Correlated Electrons · Physics 2020-04-15 Tobias Denz , Mario Mitter , Jan M. Pawlowski , Christof Wetterich , Masatoshi Yamada

We obtain the phase diagram of the half-filled two-dimensional Hubbard model on a square lattice in the presence of Einstein phonons. We find that the interplay between the instantaneous electron-electron repulsion and electron-phonon…

Strongly Correlated Electrons · Physics 2007-05-23 F. D. Klironomos , S. -W. Tsai

The renormalization group approach to correlated fermions is used to determine the phase diagram of the oxide cuprates modeled by the t-t' Hubbard model at the Van Hove filling. Spin-dependent interactions give rise to instabilities…

Superconductivity · Physics 2007-05-23 J. V. Alvarez , J. Gonzalez , F. Guinea , M. A. H. Vozmediano

We perform an instability analysis of the Emery three-band model at hole doping and weak coupling within a channel-decomposed functional renormalization group flow proposed in Phys. Rev. B 79, 195125 (2009). In our approach, momentum…

Strongly Correlated Electrons · Physics 2013-12-13 Stefan A. Maier , Jutta Ortloff , Carsten Honerkamp

I apply a two-step density-matrix renormalization group method to the anisotropic two-dimensional Hubbard model. As a prelude to this study, I compare the numerical results to the exact one for the tight-binding model. I find a ground-state…

Strongly Correlated Electrons · Physics 2009-11-13 S. Moukouri

This thesis is concerned with ground state properties of two-dimensional fermionic superfluids, in which fluctuation effects like the renormalization of the order parameter or infrared singularities are important. In the superfluid state,…

Strongly Correlated Electrons · Physics 2014-07-30 Andreas Eberlein

Unconventional strongly correlated phases of the repulsive Fermi-Hubbard model, which could be emulated by ultracold vapors loaded in optical lattices, are investigated by means of energy minimizations with quantum number projection before…

Quantum Gases · Physics 2015-10-20 A. Leprévost , O. Juillet , R. Frésard

Phase diagrams of the two-dimensional one-band t-t' Hubbard model are obtained within the two-patch and the temperature-cutoff many-patch renormalization group approach. At small t' and at van Hove band fillings antiferromagnetism…

Strongly Correlated Electrons · Physics 2009-11-10 A. A. Katanin , A. P. Kampf

We have studied the d-wave pairing-instability in the two-dimensional Holstein-Hubbard model at the level of a full fluctuation exchange approximation which treats both Coulomb and electron-phonon (EP) interaction diagrammatically on an…

Superconductivity · Physics 2009-10-30 C. -H. Pao , H. -B. Schüttler

We investigate the structure of the pairing potential in the stripe phase of the two-dimensional Hubbard model. Based on the random phase approximation we discuss in detail the interactions in the charge- and spin channel and compare our…

Superconductivity · Physics 2009-11-07 S. Varlamov , G. Seibold

We present an extension to the two-dimensional functional renormalization group to efficiently treat interactions on the surface or at interfaces of three-dimensional systems. As an application, we consider a semi-infinite stack of…

Strongly Correlated Electrons · Physics 2026-04-10 Lennart Klebl , Dante M. Kennes

We employ the functional renormalization group to investigate the phase diagram of the $t-t'$ Hubbard model on the square lattice with finite chemical potential $\mu$ at zero temperature. A unified scheme to derive flow equations in the…

Strongly Correlated Electrons · Physics 2017-12-13 Sebastian Johann Wetzel

The Kondo lattice model enlarged by an antiferromagnetic coupling $J_{\rm AF}$ between the localized spins is here investigated using computational techniques. Our results suggest the existence of a d-wave superconducting phase close to…

Strongly Correlated Electrons · Physics 2009-11-13 J. C. Xavier , E. Dagotto