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Exact solution of the one-dimensional anisotropic t - J model: ground-state properties and the excitation spectrum

R Sato

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The one-dimensional anisotropic t - J model was exactly solved using the Bethe ansatz. We first discuss the effect of anisotropy on the ground-state properties. We find a continuous phase transition induced by a magnetic field. The low-lying (spin and charge) excitation spectrum is obtained for various fillings. According to the anisotropy, the model has massive or massless modes for spin excitations. At half-filling, the model reduces to the spin- antiferromagnetic XXZ-model. We calculate the correct excitation continuum whose lowest mode is lower than that obtained by des Cloizeaux and Gaudin. Charge excitations are massless for any value of the anisotropy.


PACS

74.20.-z Theories and models of superconducting state

74.25.Dw Superconductivity phase diagrams

74.72.-h Cuprate superconductors (high-Tc and insulating parent compounds)

74.62.-c Transition temperature variations

74.25.Ha Magnetic properties

Subjects

Superconductivity

Dates

Issue 43 (21 October 1996)

Received 2 April 1996, in final form 16 July 1996



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