The one-dimensional Hubbard model is studied at and close to half-filling using a generalization of Handscomb’s quantum Monte Carlo method. Results for spin-correlation functions and susceptibilities are presented for systems of up to 128 sites. The spin-correlation function at low temperature is well described by a recently introduced formula relating the correlation function of a finite periodic system to the corresponding T=0 correlation function of the infinite system. For the T→0 divergence of the q=2${\mathit{k}}_{\mathit{F}}$ spin susceptibility, our results are consistent with the form χ(2${\mathit{k}}_{\mathit{F}}$)∼‖ln(T)${\mathrm{\Vert }}^{\mathrm{\sigma }}$${\mathit{T}}_{\mathrm{\rho }}^{\mathit{K}}$-1, with σ=1/2.

• Received 1 March 1993

DOI:https://doi.org/10.1103/PhysRevB.48.2112