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The applicability of the Hartree-Fock and random phase approximations to models of strongly correlated electrons is discussed. The 2D Hubbard model is analyzed. An antiferromagnetic phase (at half filling) and Fermi liquid behavior (at low…

Condensed Matter · Physics 2007-05-23 F. Guinea , E. Louis , J. A. Verges

A model study for the coexistence of the spin density wave and superconductivity is presented. With reference to the recent angle resolved photo emmission experimental data in high T_c cuprates, presence of the nested pieces of bands is…

Superconductivity · Physics 2016-08-15 Haranath Ghosh , S. Sil , S. N. Behera

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 Hund's-rule-exchange induced and coexisting spin-triplet paired and magnetic states are considered within the doubly degenerate Hubbard model with interband hybridization. The Hartree-Fock approximation combined with the…

Superconductivity · Physics 2015-06-05 Michał Zegrodnik , Jozef Spałek

Motivated by the recent discovery of Fe-based superconductors close to an antiferromagnetic insulator in the experimental phase diagram, here the five-orbital Hubbard model (without lattice distortions) is studied using the real-space…

Superconductivity · Physics 2012-06-01 Qinlong Luo , Andrew Nicholson , José Riera , Dao-Xin Yao , Adriana Moreo , Elbio Dagotto

Motivated by exploring the effect of interactions on Chern insulators, and by recent experiments realizing topological bands for ultracold atoms in synthetic gauge fields, we study the honeycomb lattice Haldane-Hubbard model of spin-$1/2$…

Strongly Correlated Electrons · Physics 2016-03-08 V. S. Arun , R. Sohal , C. Hickey , A. Paramekanti

The Hartree-Fock ground state phase diagram of the one-dimensional Hubbard model is calculated, constrained to uniform phases, which have no charge density modulation. The allowed solutions are saturated ferromagnetism (FM), a spiral spin…

Condensed Matter · Physics 2009-10-28 J H Samson

We derive the random-phase approximation for spin excitations in general multi-band Hubbard models, starting from a collinear ferromagnetic Hartree-Fock ground state. The results are compared with those of a recently introduced variational…

Strongly Correlated Electrons · Physics 2009-11-07 J. Buenemann , F. Gebhard

Close to half filling and in the limit of strong interactions the Hubbard model leads a spin Hamiltonian. In its original isotropic form this is the Heisenberg model with antiferromagnetic coupling $J$. On a square lattice there is no…

Strongly Correlated Electrons · Physics 2016-12-28 Aaron Farrell , P. -K. Wu , Y. -J. Kao , T. Pereg-Barnea

We employ the Hartree-Fock approximation to identify the magnetic ground state of the Hubbard model on a frustrated square lattice. We investigate the phase diagram as a function of the Coulomb repulsion's strength $U$, and the ratio $t'/t$…

Strongly Correlated Electrons · Physics 2020-11-18 Yun-Peng Huang , Jin-Wei Dong , Panagiotis Kotetes , Sen Zhou

The magnetic phase diagrams of models for quasi one-dimensional compounds belonging to the iron-based superconductors family are presented. The five-orbital Hubbard model and the real-space Hartree-Fock approximation are employed,…

Superconductivity · Physics 2015-06-19 Qinlong Luo , Kateryna Foyevtsova , German D. Samolyuk , Fernando Reboredo , Elbio Dagotto

The two-dimensional extended Hubbard model that includes a nearest- neighbor Heisenberg interaction is studied using a mean-field theory where quasiparticles are defined by an U(8) group of canonical transformations. The theory is a…

Condensed Matter · Physics 2009-10-22 A. B. Eriksson , T. Einarsson , S. Ostlund

In this paper, a generalization of standard spin fluctuation theory is considered by replacing the simple Hubbard interaction by the screened Hartree-Fock interaction for f electrons. This model is then used in both an LS and a JJ coupling…

Condensed Matter · Physics 2009-10-22 M. R. Norman

Noncollinear magnetic states in clusters are studied by using the single-band Hubbard Hamiltonian. The unrestricted Hartree-Fock (UHF) approximation is considered without imposing any symmetry constraints neither to the size or orientation…

Strongly Correlated Electrons · Physics 2009-10-31 Miguel A. Ojeda , J. Dorantes-Davila , G. M. Pastor

Here, we investigate the fractal-lattice Hubbard model using various numerical methods: exact diagonalization, the self-consistent diagonalization of a (mean-field) Hartree-Fock Hamiltonian and state-of-the-art Auxiliary-Field Quantum Monte…

Strongly Correlated Electrons · Physics 2024-09-18 Monica Conte , Vinicius Zampronio , Malte Röntgen , Cristiane Morais Smith

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

The multiorbital Hubbard model in the strong coupling limit is analyzed for the effectively antiferromagnetic Hund's coupling relevant to fulleride superconductors with three orbitals per molecule. The localized spin-orbital model describes…

Strongly Correlated Electrons · Physics 2021-06-30 Ryuta Iwazaki , Shintaro Hoshino

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 Heisenberg antiferromagnet, which arises from the large $U$ Hubbard model, is investigated on the $C_{60}$ molecule and other fullerenes. The connectivity of $C_{60}$ leads to an exotic classical ground state with nontrivial topology.…

Condensed Matter · Physics 2009-10-22 D. Coffey , S. A. Trugman

The ground states of the two-dimensional repulsive Hubbard model are studied within the unrestricted Hartree-Fock (UHF) theory. Magnetic and charge properties are determined by systematic, large-scale, exact numerical calculations, and…

Strongly Correlated Electrons · Physics 2013-09-20 Jie Xu , Chia-Chen Chang , Eric J. Walter , Shiwei Zhang
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