Numerical test of finite-size corrections for the anisotropic Heisenberg antiferromagnet chain

Medeiros, Djalma; Cabrera, G. G.

doi:10.1103/physrevb.44.848

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“…We have also compared the ED energies with the independent results for the GSEs of the XXZ model. 16 In all cases agreement to at least 7 decimal places was achieved.…”

Section: Numerical Resultsmentioning

confidence: 71%

Spinon-holon interactions in an anisotropict−Jchain: A comprehensive study

2007

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We consider a generalization of the one-dimensional t-J model with anisotropic spin-spin interactions. We show that the anisotropy leads to an effective attractive interaction between the spinon and holon excitations, resulting in a localized bound state. Detailed quantitative analytic predictions for the dependence of the binding energy on the anisotropy are presented, and verified by precise numerical simulations. The binding energy is found to interpolate smoothly between a finite value in the t-Jz limit and zero in the isotropic limit, going to zero exponentially in the vicinity of the latter. We identify changes in spinon dispersion as the primary factor for this non-trivial behavior.

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“…We have also compared the ED energies with the independent results for the GSEs of the XXZ model. 16 In all cases agreement to at least 7 decimal places was achieved.…”

Section: Numerical Resultsmentioning

confidence: 71%