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We present mean-field and quantum Monte Carlo results that suggest the existence of an itinerant antiferromagnetic ground state in the half-filled $U-t-t'$ model in two dimensions. In particular, working at $t'/t=-0.2$ we found that…

Condensed Matter · Physics 2009-10-28 Daniel Duffy , Adriana Moreo

Understanding superconductivity emerging from repulsive fermions remains a major challenge in condensed matter physics. In this paper, we investigate the pairing tendencies in a one-dimensional, three component repulsive Hubbard model,…

Superconductivity · Physics 2025-12-10 Sheng Chen , Qiao Yang , Wéi Wú , Fadi Sun

Using large-scale dynamical cluster quantum Monte Carlo simulations, we explore the unconventional superconductivity in the hole-doped Hubbard model on the triangular lattice. Due to the interplay of electronic correlations, geometric…

Strongly Correlated Electrons · Physics 2013-07-09 Kuang Shing Chen , Zi Yang Meng , Unjong Yu , Shuxiang Yang , Mark Jarrell , Juana Moreno

We report a detailed study of a model Hamiltonian which exhibits a rich interplay of geometrical spin frustration, strong electronic correlations, and charge ordering. The character of the insulating phase depends on the magnitude of…

Strongly Correlated Electrons · Physics 2013-05-29 J. Merino , R. H. McKenzie , B. J. Powell

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 magnetic susceptibility of the two-dimensional repulsive Hubbard model with nearest-neighbor hopping is investigated using the diagram technique developed for the case of strong correlations. In this technique a power series in the…

Strongly Correlated Electrons · Physics 2009-11-13 Alexei Sherman , Michael Schreiber

We study the extended Hubbard model on the triangular lattice as a function of filling and interaction strength. The complex interplay of kinetic frustration and strong interactions on the triangular lattice leads to exotic phases where…

Strongly Correlated Electrons · Physics 2014-12-16 Luca F. Tocchio , Claudius Gros , Xue-Feng Zhang , Sebastian Eggert

We derive an effective Hamiltonian for the two-dimensional Hubbard-Holstein model in the regimes of strong electron-electron and strong electron-phonon interactions by using a nonperturbative approach. In the parameter region where the…

Strongly Correlated Electrons · Physics 2018-10-17 A. Ghosh , S. Kar , S. Yarlagadda

We use unrestricted Hartree-Fock, density matrix renormalization group, and variational projected entangled pair state calculations to investigate the ground state phase diagram of the triangular lattice Hubbard model at "half doping"…

Strongly Correlated Electrons · Physics 2026-01-12 Yuchi He , Roman Rausch , Matthias Peschke , Christoph Karrasch , Philippe Corboz , Nick Bultinck , S. A. Parameswaran

The two-dimensional Hubbard model on the square lattice is studied in the presence of lattice distortions in the adiabatic approximation. The self energy is computed within perturbation theory up to second order, which provides a way for…

Strongly Correlated Electrons · Physics 2009-02-26 C. A. Lamas

Commensurate and incommensurate antiferromagnetic fluctuations in the two-dimensional repulsive t-t'-Hubbard model are investigated using functional renormalization group equations. For a sufficient deviation from half filling we establish…

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

Systems of fermions described by the three-dimensional (3D) repulsive Hubbard model on a cubic lattice have recently attracted considerable attention due to their possible experimental realization via cold atoms in an optical lattice.…

Strongly Correlated Electrons · Physics 2013-09-20 Jie Xu , Simone Chiesa , Eric J. Walter , Shiwei Zhang

We study, on the basis of the general entangled-plaquette variational ansatz, the ground-state properties of the spin-1/2 antiferromagnetic Heisenberg model on the triangular lattice. Our numerical estimates are in good agreement with…

Strongly Correlated Electrons · Physics 2015-05-19 Fabio Mezzacapo , J. Ignacio Cirac

The ground state of the two-dimensional three-band Hubbard model in oxide superconductors is investigated by using the variational Monte Carlo method. The Gutzwiller-projected BCS and spin- density wave (SDW) functions are employed in the…

Strongly Correlated Electrons · Physics 2009-11-07 Takashi Yanagisawa , Soh Koike , Kunihiko Yamaji

The two-orbital Hubbard model with the Hund coupling is investigated in a metallic phase close to the Mott insulator. We calculate the one-particle spectral function and the optical conductivity within dynamical mean field theory, for which…

Strongly Correlated Electrons · Physics 2009-11-07 Yoshiki Imai , Norio Kawakami

In this thesis, I study a two-dimensional extended Hubbard model in the weak coupling limit. Quite generally, the electron gas is unstable towards a superconducting state even in the absence of phonons. However in the special case of a…

Strongly Correlated Electrons · Physics 2007-05-23 B. Binz

We investigate the half-filled Hubbard model on an isotropic triangular lattice with the variational cluster approximation. By decreasing the on-site repulsion $U$ (or equivalently increasing pressure) we go from a phase with long range,…

Strongly Correlated Electrons · Physics 2008-04-15 Peyman Sahebsara , David Sénéchal

The perfect-nesting instability towards antiferromagnetism of the Hubbard model is suppressed by next-nearest neighbor hopping t'. The exact asymptotic behavior of the critical coupling U_c(t') at small t' is calculated in dimensions d=2,3…

Strongly Correlated Electrons · Physics 2016-10-26 W. Hofstetter , D. Vollhardt

The Hubbard model on an anisotropic triangular lattice in two dimensions, a fundamental model for frustrated electron physics, displays a wide variety of phases and phase transitions. This work investigates the model using the ladder dual…

Strongly Correlated Electrons · Physics 2025-07-11 Yang Yu , Shaozhi Li , Sergei Iskakov , Emanuel Gull

We consider an extended Hubbard model of interacting fermions on a lattice. The fermion kinetic energy corresponds to a tight binding Hamiltonian with nearest neighbour (-t) and next nearest neighbour (t') hopping matrix elements. In…

Strongly Correlated Electrons · Physics 2009-10-30 Biplab Chattopadhyay , D. M. Gaitonde