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Spinon excitation spectra of the J 1 -J 2 chain from analytical calculations in the dimer basis and exact diagonalization

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  • Arthur Lavarélo
  • Guillaume Roux

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. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Arthur Lavarélo & Guillaume Roux, 2014. "Spinon excitation spectra of the J 1 -J 2 chain from analytical calculations in the dimer basis and exact diagonalization," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(10), pages 1-11, October.
    • Handle: RePEc:spr:eurphb:v:87:y:2014:i:10:p:1-11:10.1140/epjb/e2014-50472-x
    DOI: 10.1140/epjb/e2014-50472-x
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    Solid State and Materials;

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