AKLT-like valence bond solid state in the frustrated ferromagnetic <i>J</i><sub>1</sub>-<i>J</i><sub>2</sub> chain

ORAL

Abstract


Frustrated one-dimensional (1D) magnets are known as ideal playgrounds for new exotic quantum phenomena. We consider an elementary frustrated 1D system: the spin-1/2 ferromagnetic (J1) Heisenberg chain with next-nearest-neighbor antiferromagnetic (AFM) (J2) interactions. On the basis of density-matrix renormalization group calculations we show the existence of a finite spin gap at J2/|J1| > 1/4 and we find the ground state in this region to be a valence bond solid (VBS) with spin-singlet dimerization between third-neighbor sites. The VBS is the consequence of spontaneous symmetry breaking through order by disorder. Quite interestingly, this VBS state has a Affleck-Kennedy-Lieb-Tasaki-type topological order. We also investigate the possibility of multipolar physics induced by AFM interchain coupling.

*This work is supported by SFB 1143 of the Deutsche Forschungsgemeinschaft.

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Presenters

  • Cliò Efthimia Agrapidis

    • Institute for Theoretical Solid State Physics, IFW Dresden

Authors

  • Cliò Efthimia Agrapidis

    • Institute for Theoretical Solid State Physics, IFW Dresden

  • Stefan-Lüdwig Drechsler

    • Institute for Theoretical Solid State Physics, IFW Dresden
    • Leibniz Institute for Solid State and Materials Research

  • Jeroen Van den Brink

    • IFW Dresden
    • Institute for Theoretical Solid State Physics, IFW Dresden
    • IFW - Dresden
    • Leibniz Institute for Solid State and Materials Research

  • S. Nishimoto

    • Institute for Theoretical Solid State Physics, IFW Dresden
    • Institute for Theoretical Physics, IFW Dresden, 01069 Dresden, Germany