Monte Carlo results for the frequency dependent conductivity ${\ensuremath{\sigma}}_{1}(\ensuremath{\omega})$, the angular resolved photoemission spectral weight $A(\mathbf{p},\ensuremath{\omega})$, and the electron momentum distribution $〈{n}_{\mathbf{p}}〉$ are calculated for a half-filled Hubbard model with the on-site Coulomb interaction $U$ equal to the bandwidth $8t$ . We find that even for $U=8t$ , a spin-density-wave approximation provides a sensible description of this data and hence a useful picture of the electronic degrees of freedom in the insulating state.Monte Carlo results for the frequency dependent conductivity ${\ensuremath{\sigma}}_{1}(\ensuremath{\omega})$, the angular resolved photoemission spectral weight $A(\mathbf{p},\ensuremath{\omega})$, and the electron momentum distribution $〈{n}_{\mathbf{p}}〉$ are calculated for a half-filled Hubbard model with the on-site Coulomb interaction $U$ equal to the bandwidth $8t$. We find that even for $U=8t$, a spin-density-wave approximation provides a sensible description of this data and hence a useful picture of the electronic degrees of freedom in the insulating state.

Physical Review LettersAug 1, 199499 citations

Ground state properties of half-filled Hubbard model

Canio Noce, Mario Cuoco

Physics Letters AJul 1, 19971 citation

Study of the Hubbard model at half filling

Yu. A. Izyumov, N. I. Chashchin

Theoretical and Mathematical PhysicsJan 1, 20083 citations

Numerical study of the two-dimensional Hubbard model for various band fillings

Adriana Moreo, Douglas J. Scalapino, Robert L. Sugar +2 more

Quantum Monte Carlo methods are used to study the physical properties of the two-dimensional Hubbard model for various band fillings. Results for the energy, magnetic moment, magnetic structure factor, and integrated optical spectral weight are presented. A comparison of the half-filled (〈n〉=1) and quarter-filled (〈n〉=0.5) bands is made using results for the momentum distribution 〈 ${n}_{k}$ 〉, the compressibility K, and the one-electron self-energy \ensuremath{\Sigma}(k,i${\ensuremath{\omega}}_{n}$), which shows that a gap exists in the one-electron excitations at half-filling but is absent for the one-quarter-filled case. At a filling of 〈n〉=0.87, the locus of k values for which 〈 ${n}_{k}$ 〉=0.5 is found to be close to the free Fermi surface for this filling.Quantum Monte Carlo methods are used to study the physical properties of the two-dimensional Hubbard model for various band fillings. Results for the energy, magnetic moment, magnetic structure factor, and integrated optical spectral weight are presented. A comparison of the half-filled (〈n〉=1) and quarter-filled (〈n〉=0.5) bands is made using results for the momentum distribution 〈${n}_{k}$〉, the compressibility K, and the one-electron self-energy \ensuremath{\Sigma}(k,i${\ensuremath{\omega}}_{n}$), which shows that a gap exists in the one-electron excitations at half-filling but is absent for the one-quarter-filled case. At a filling of 〈n〉=0.87, the locus of k values for which 〈${n}_{k}$〉=0.5 is found to be close to the free Fermi surface for this filling.

Physical review. B, Condensed matterFeb 1, 1990187 citations

〈{n}_{\mathbf{p}}〉

are calculated for a half-filled Hubbard model with the on-site Coulomb interaction

U

equal to the bandwidth

8t

. We find that even for

U=8t

, a spin-density-wave approximation provides a sensible description of this data and hence a useful picture of the electronic degrees of freedom in the insulating state.

{n}_{k}

〉, the compressibility K, and the one-electron self-energy \ensuremath{\Sigma}(k,i${\ensuremath{\omega}}_{n}$), which shows that a gap exists in the one-electron excitations at half-filling but is absent for the one-quarter-filled case. At a filling of 〈n〉=0.87, the locus of k values for which 〈

{n}_{k}

〉=0.5 is found to be close to the free Fermi surface for this filling.