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Spinon excitation spectra of the J1-J2 chain from analytical calculations in the dimer basis and exact diagonalization

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Abstract

The excitation spectrum of the frustrated spin-1/2 Heisenberg chain is reexamined using variational and exact diagonalization calculations. We show that the overlap matrix of the short-range resonating valence bond states basis can be inverted which yields tractable equations for single and two spinons excitations. Older results are recovered and new ones, such as the bond-state dispersion relation and its size with momentum at the Majumdar-Ghosh point are found. In particular, this approach yields a gap opening at J 2 = 0.25J 1 and an onset of incommensurability in the dispersion relation at J 2 = 9/17J 1 as in [S. Brehmer et al., J. Phys.: Condens. Matter 10, 1103 (1998)]. These analytical results provide a good support for the understanding of exact diagonalization spectra, assuming an independent spinons picture.

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  1. LPTMS, Univ. Paris-Sud and CNRS, UMR 8626, 91405, Orsay, France

    Arthur Lavarélo & Guillaume Roux

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  1. Arthur Lavarélo
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  2. Guillaume Roux
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Correspondence to Guillaume Roux.

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Lavarélo, A., Roux, G. Spinon excitation spectra of the J1-J2 chain from analytical calculations in the dimer basis and exact diagonalization. Eur. Phys. J. B 87, 229 (2014). https://doi.org/10.1140/epjb/e2014-50472-x

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