Recent computer simulations performed on the one-dimensional Hubbard model with a new algorithm developed by Sorella et al. confirm the absence of a Fermi surface in this model at half filling. However, these same simulations suggest the existence of a Fermi surface at zero temperature away from half filling, contrary to expectations based on renormalization-group analysis. The results found here, using a more standard algorithm and a simple low-temperature extrapolation, appear consistent with the above-mentioned numerical results in the half-filled and quarter-filled band cases. However, it is argued that the discontinuity at the Fermi level found in all these simulations is likely to come from the zero-temperature finite-size dependence of the quasiparticle weight Z, which is also discussed here.Recent computer simulations performed on the one-dimensional Hubbard model with a new algorithm developed by Sorella et al. confirm the absence of a Fermi surface in this model at half filling. However, these same simulations suggest the existence of a Fermi surface at zero temperature away from half filling, contrary to expectations based on renormalization-group analysis. The results found here, using a more standard algorithm and a simple low-temperature extrapolation, appear consistent with the above-mentioned numerical results in the half-filled and quarter-filled band cases. However, it is argued that the discontinuity at the Fermi level found in all these simulations is likely to come from the zero-temperature finite-size dependence of the quasiparticle weight Z, which is also discussed here.

Physical review. B, Condensed matterAug 1, 198919 citations

Fermi surface of the 2D Hubbard model at weak coupling

Christoph J. Halboth, Walter Metzner

arXiv:cond-mat/9610216Zeitschrift für Physik B Condensed MatterDec 1, 199721 citations

Finite Temperature Effects in a One-Dimensional Mott-Hubbard Insulator: Angle-Resolved Photoemission Study of Na0.96V2O5

Keisuke Kobayashi, T. Mizokawa, Atsushi Fujimori +4 more

We have made an angle-resolved photoemission study of a one-dimensional Mott-Hubbard insulator ${\mathrm{Na}}_{0.96}{\mathrm{V}}_{2}{\mathrm{O}}_{5}$ and found that the spectra of the V $3d$ lower Hubbard band are strongly dependent on the temperature. We have calculated the one-particle spectral function of the one-dimensional $t\ensuremath{-}J$ model at finite temperatures by exact diagonalization and compared them with the experimental results. Good overall agreement is obtained between experiment and theory. The strong finite temperature effects are discussed in terms of the existence of the ``Fermi surface'' of the spinon band.We have made an angle-resolved photoemission study of a one-dimensional Mott-Hubbard insulator ${\mathrm{Na}}_{0.96}{\mathrm{V}}_{2}{\mathrm{O}}_{5}$ and found that the spectra of the V $3d$ lower Hubbard band are strongly dependent on the temperature. We have calculated the one-particle spectral function of the one-dimensional $t\ensuremath{-}J$ model at finite temperatures by exact diagonalization and compared them with the experimental results. Good overall agreement is obtained between experiment and theory. The strong finite temperature effects are discussed in terms of the existence of the ``Fermi surface'' of the spinon band.

arXiv:cond-mat/9808334Physical Review LettersJan 25, 199937 citations

Non-fermi liquid behavior of a one-dimensional Hubbard model

Kicheon Kang, Byung Il Min

Solid State CommunicationsAug 1, 19941 citation

We have made an angle-resolved photoemission study of a one-dimensional Mott-Hubbard insulator

{\mathrm{Na}}_{0.96}{\mathrm{V}}_{2}{\mathrm{O}}_{5}

and found that the spectra of the V

3d

lower Hubbard band are strongly dependent on the temperature. We have calculated the one-particle spectral function of the one-dimensional $t\ensuremath{-}J$ model at finite temperatures by exact diagonalization and compared them with the experimental results. Good overall agreement is obtained between experiment and theory. The strong finite temperature effects are discussed in terms of the existence of the ``Fermi surface'' of the spinon band.