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Physica

On the transverse susceptibility χxx of the anisotropic one-dimensional XY model in the presence of a magnetic field in the z direction

Hans W. Capel, E.J. Van Dongen, Th.J. Siskens

Published Sep 1, 1974• 26 citations
Publisher
DOI
10.1016/0031-8914(74)90154-2

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Abstract The two-dimensional easy-plane SU(3) magnet subjected to the transverse field was investigated with the exact-diagonalization method. So far, as to the XY model (namely, the easy-plane SU(2) magnet), the transverse-field-driven order–disorder phase boundary has been investigated with the exact-diagonalization method, and it was claimed that the end-point singularity (multicriticality) at the XX -symmetric point does not accord with large- N -theory’s prediction. Aiming to reconcile the discrepancy, we extend the internal symmetry to the easy-plane SU(3) with the anisotropy parameter η , which interpolates the isotropic ( η = 0) and fully anisotropic ( η = 1) cases smoothly. As a preliminary survey, setting η = 1, we analyze the order–disorder phase transition through resorting to the fidelity susceptibility χ F , which exhibits a pronounced signature for the criticality. Thereby, with η scaled carefully, the χ F data are cast into the crossover-scaling formula so as to determine the crossover exponent ϕ , which seems to reflect the extension of the internal symmetry group to SU(3).