arXiv:cond-mat/0007020 · Solid State Communications

Exact ground state of the two-dimensional Hubbard model at half-filling for U=0+

Michele Cini, Gianluca Stefanucci

Published Feb 1, 2001• 3 citations

arXiv HTML PDF

DOI: 10.1016/s0038-1098(00)00504-4

Related papers

Ground-state properties of the one-dimensional extended Hubbard model at half filling

Satoshi Ejima, Satoshi Nishimoto

Journal of Physics and Chemistry of SolidsJun 28, 20084 citations

Dimensional scaling estimate of the energy of a large system from that of its building blocks: Hubbard model and Fermi liquid

Klaus Capelle, L. Nunes de Oliveira

arXiv:cond-mat/0602333Physical Review BMar 21, 20069 citations

Ground State of the Kondo-Hubbard Model at Half Filling

Takashi Yanagisawa, Yukihiro Shimoi

Physical Review LettersJun 12, 199532 citations

The Two Dimensional Hubbard Model at Half-Filling. I. Convergent Contributions

Vincent Rivasseau

Journal of Statistical PhysicsFeb 1, 200217 citations

Ground-state quantum numbers of the half-filled Hubbard model

Adriana Moreo, Elbio R. Dagotto

Physical review. B, Condensed matterMay 1, 199016 citations

Ground state of the half-filled extended Hubbard model beyond the Hartree-Fock approximation

Andrzej M. Oleś, R. Micnas, S. Robaszkiewicz +1 more

Physics Letters AMay 1, 198413 citations

arXiv:cond-mat/0007020 · Solid State Communications

Exact ground state of the two-dimensional Hubbard model at half-filling for U=0+

Michele Cini, Gianluca Stefanucci

Published Feb 1, 2001• 3 citations

arXiv HTML PDF

DOI: 10.1016/s0038-1098(00)00504-4

Related papers

Ground-state properties of the one-dimensional extended Hubbard model at half filling

Satoshi Ejima, Satoshi Nishimoto

Journal of Physics and Chemistry of SolidsJun 28, 20084 citations

Dimensional scaling estimate of the energy of a large system from that of its building blocks: Hubbard model and Fermi liquid

Klaus Capelle, L. Nunes de Oliveira

A simple, physically motivated, scaling hypothesis, which becomes exact in important limits, yields estimates for the ground-state energy of large, composed, systems in terms of the ground-state energy of its building blocks. The concept is illustrated for the electron liquid, and the Hubbard model. By means of this scaling argument the energy of the one-dimensional half-filled Hubbard model is estimated from that of a two-site Hubbard dimer, obtaining quantitative agreement with the exact one-dimensional Bethe-Ansatz solution, and the energies of the two- and three-dimensional half-filled Hubbard models are estimated from the one-dimensional energy, recovering exact results for $U\ensuremath{\rightarrow}0$ and $U\ensuremath{\rightarrow}\ensuremath{\infty}$ and coming close to quantum Monte Carlo data for intermediate $U$ .A simple, physically motivated, scaling hypothesis, which becomes exact in important limits, yields estimates for the ground-state energy of large, composed, systems in terms of the ground-state energy of its building blocks. The concept is illustrated for the electron liquid, and the Hubbard model. By means of this scaling argument the energy of the one-dimensional half-filled Hubbard model is estimated from that of a two-site Hubbard dimer, obtaining quantitative agreement with the exact one-dimensional Bethe-Ansatz solution, and the energies of the two- and three-dimensional half-filled Hubbard models are estimated from the one-dimensional energy, recovering exact results for $U\ensuremath{\rightarrow}0$ and $U\ensuremath{\rightarrow}\ensuremath{\infty}$ and coming close to quantum Monte Carlo data for intermediate $U$.

arXiv:cond-mat/0602333Physical Review BMar 21, 20069 citations

Ground State of the Kondo-Hubbard Model at Half Filling

Takashi Yanagisawa, Yukihiro Shimoi

We investigate the ground state of the Kondo-Hubbard model employing the recently introduced idea of spin-reflection positivity. It is shown exactly that the Kondo-Hubbard model for $J<0$ and $U>|J|/4$ at half filling has a unique ground state which can be ferromagnetic or singlet according to the lattice structure. In particular, for the Kondo lattice with $U>|J|/4$ , the ground state is a singlet. We also show a theorem for the Kondo-Hubbard model with the anisotropic antiferromagnetic coupling ${J}_{\ensuremath{\perp}}>0$ and ${J}_{z}\ensuremath{\le}0$ for $U>|{J}_{z}|/4$ .We investigate the ground state of the Kondo-Hubbard model employing the recently introduced idea of spin-reflection positivity. It is shown exactly that the Kondo-Hubbard model for $J<0$ and $U>|J|/4$ at half filling has a unique ground state which can be ferromagnetic or singlet according to the lattice structure. In particular, for the Kondo lattice with $U>|J|/4$, the ground state is a singlet. We also show a theorem for the Kondo-Hubbard model with the anisotropic antiferromagnetic coupling ${J}_{\ensuremath{\perp}}>0$ and ${J}_{z}\ensuremath{\le}0$ for $U>|{J}_{z}|/4$.

Physical Review LettersJun 12, 199532 citations

The Two Dimensional Hubbard Model at Half-Filling. I. Convergent Contributions

Vincent Rivasseau

Journal of Statistical PhysicsFeb 1, 200217 citations

Ground-state quantum numbers of the half-filled Hubbard model

Adriana Moreo, Elbio R. Dagotto

Working on a square lattice with an even number of sites ${\mathit{N}}^{2}$ and assuming a smooth connection between strong and weak coupling, we show that the ground state of the two-dimensional half-filled Hubbard model has momentum ${\mathit{k}}_{\mathit{x}}$ - ${\mathit{k}}_{\mathit{y}}$ =0, it is even under reflections, and transforms as an s wave under rotations when N/2 is even and as a d wave when N/2 is odd.Working on a square lattice with an even number of sites ${\mathit{N}}^{2}$ and assuming a smooth connection between strong and weak coupling, we show that the ground state of the two-dimensional half-filled Hubbard model has momentum ${\mathit{k}}_{\mathit{x}}$-${\mathit{k}}_{\mathit{y}}$=0, it is even under reflections, and transforms as an s wave under rotations when N/2 is even and as a d wave when N/2 is odd.

Physical review. B, Condensed matterMay 1, 199016 citations

Ground state of the half-filled extended Hubbard model beyond the Hartree-Fock approximation

Andrzej M. Oleś, R. Micnas, S. Robaszkiewicz +1 more

Physics Letters AMay 1, 198413 citations

U

We investigate the ground state of the Kondo-Hubbard model employing the recently introduced idea of spin-reflection positivity. It is shown exactly that the Kondo-Hubbard model for

J<0

and

U>|J|/4

at half filling has a unique ground state which can be ferromagnetic or singlet according to the lattice structure. In particular, for the Kondo lattice with

U>|J|/4

, the ground state is a singlet. We also show a theorem for the Kondo-Hubbard model with the anisotropic antiferromagnetic coupling ${J}_{\ensuremath{\perp}}>0$ and ${J}_{z}\ensuremath{\le}0$ for

U>|{J}_{z}|/4

Working on a square lattice with an even number of sites

{\mathit{N}}^{2}

and assuming a smooth connection between strong and weak coupling, we show that the ground state of the two-dimensional half-filled Hubbard model has momentum

{\mathit{k}}_{\mathit{x}}

{\mathit{k}}_{\mathit{y}}

=0, it is even under reflections, and transforms as an s wave under rotations when N/2 is even and as a d wave when N/2 is odd.