Spontaneous dimerization in the ground state of one-dimensional frustrated Heisenberg antiferromagnets

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Abstract

Starting from the exact result of Majumdar and Ghosh for the dimerized ground state of a Heisenberg linear-chain antiferromagnet with competing next-nearest-neighbor interaction J2=1/2J1, it is shown that this state is an exact eigenstate of the same Hamiltonian with couplings extended up to fourth-nearest neighbors, if the relations J1-2J2+J3=0 and J3=2J4 hold. Furthermore, it is proved to all orders in perturbation theory that this state is the ground state of this Hamiltonian in a finite interval of values of the parameter =1/2-j2 around =0. The actual extension of this interval is computed numerically for finite chains and is shown to be significant.

Original languageEnglish (US)
Pages (from-to)3710-3711
Number of pages2
JournalPhysical Review B
Volume43
Issue number4
DOIs
StatePublished - Jan 1 1991

ASJC Scopus subject areas

  • Condensed Matter Physics

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