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Theoretical constraints for the magnetic-dimer transition in two-dimensional spin models

Leonardo Spanu·Federico Becca·Sandro Sorella
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Abstract

From general arguments, that are valid for spin models with sufficiently short-range interactions, we derive strong constraints on the excitation spectrum across a continuous phase transition at zero temperature between a magnetic and a dimerized phase, that breaks the translational symmetry. From the different symmetries of the two phases, it is possible to predict, at the quantum critical point, a branch of gapless excitations, not described by standard semi-classical approaches. By using these arguments, supported by intensive numerical calculations, we obtain a rather convincing evidence in favor of a first-order transition from the ferromagnetic to the dimerized phase in the two-dimensional spin-half model with four-spin ring-exchange interaction, recently introduced by A.W. Sandvik et al. [Phys. Rev. Lett. 89, 247201 (2002)].

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Leonardo Spanu, Federico Becca, Sandro Sorella. 2005-12-13. Theoretical constraints for the magnetic-dimer transition in two-dimensional spin models. https://doi.org/10.1103/physrevb.73.134429

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