Finite-size corrections for the low lying states of a half-filled Hubbard chain

The finite-size corrections to the ground state and the energy of the low magnetisation (S O). It is found that the contribution of the charge degrees of freedom is negligible, while the contribution of the spin degrees is the same as that in the one-dimensional isotropic Heisenberg model. The analytical results are compared to numerical ones obtained for the chain lengths up to N=512.

[1]  J. Chayes,et al.  The phase boundary in dilute and random Ising and Potts ferromagnets , 1987 .

[2]  F. Woynarovich,et al.  Finite-size corrections and numerical calculations for long spin 1/2 Heisenberg chains in the critical region , 1987 .

[3]  C. Hamer.  Finite-size corrections for ground states of the XXZ Heisenberg chain , 1986 .

[4]  I. Affleck.  Universal Term in the Free Energy at a Critical Point and the Conformal Anomaly , 1986 .

[5]  J. Cardy,et al.  Conformal invariance, the central charge, and universal finite-size amplitudes at criticality. , 1986, Physical review letters.

[6]  L. Avdeev,et al.  Finite-size corrections for the XXX antiferromagnet , 1986 .

[7]  H. Ruegg,et al.  Conformal invariance and finite one-dimensional quantum chains , 1986 .

[8]  J. Cardy.  Operator Content of Two-Dimensional Conformally Invariant Theories , 1986 .

[9]  C. Hamer.  Finite-size corrections for ground states of the XXZ Heisenberg chain in the critical region , 1985 .

[10]  H. Vega,et al.  Method for calculating finite size corrections in Bethe ansatz systems: Heisenberg chain and six-vertex model , 1985 .

[11]  J. Cardy,et al.  Conformal invariance and universality in finite-size scaling , 1984 .

[12]  Y. Oono,et al.  Walks, trials and polymers with loops , 1984 .

[13]  Elliott H. Lieb,et al.  Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension , 1968 .

[14]  Chen Ning Yang,et al.  One-Dimensional Chain of Anisotropic Spin-Spin Interactions. II. Properties of the Ground-State Energy Per Lattice Site for an Infinite System , 1966 .