Susceptibility of the one-dimensional, dimerized Hubbard model

Details Susceptibility of the one-dimensional, dimerized Hubbard model Susceptibility of the one-dimensional, dimerized Hubbard model

1995-02-17

arxiv.org/abs/cond-mat/9502073v1

Phys. Rev. B 51, 1997 (1995).

Physics

Condensed Matter

10 pages, latex, figures available from the authors. To appear in Phys. Rev. B, Rapid Comm.

Scientific paper

10.1103/PhysRevB.51.1997

We show that the zero temperature susceptibility of the one-dimensional, dimerized Hubbard model at quarter-filling can be accurately determined on the basis of exact diagonalization of small clusters. The best procedure is to perform a finite-size scaling of the spin velocity $u_\sigma$, and to calculate the susceptibility from the Luttinger liquid relation $\chi=2/\pi u_\sigma$. We show that these results are reliable by comparing them with the analytical results that can be obtained in the weak and strong coupling limits. We have also used quantum Monte Carlo simulations to calculate the temperature dependence of the susceptibility for parameters that should be relevant to the Bechgaard salts. This shows that, used together, these numerical techniques are able to give precise estimates of the low temperature susceptibility of realistic one-dimensional models of correlated electrons.

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