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arXiv · 1110.3394

Antiferromagnetic spin-S chains with exactly dimerized ground states

Frédéric Michaud·François Vernay·Salvatore R. Manmana·Frédéric Mila
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Abstract

We show that spin S Heisenberg spin chains with an additional three-body interaction of the form (S_{i-1}S_{i})(S_{i}S_{i+1})+h.c. possess fully dimerized ground states if the ratio of the three-body interaction to the bilinear one is equal to 1/(4S(S+1)-2). This result generalizes the Majumdar-Ghosh point of the J_1-J_2 chain, to which the present model reduces for S=1/2. For S=1, we use the density matrix renormalization group method (DMRG) to show that the transition between the Haldane and the dimerized phases is continuous with central charge c=3/2. Finally, we show that such a three-body interaction appears naturally in a strong-coupling expansion of the Hubbard model, and we discuss the consequences for the dimerization of actual antiferromagnetic chains.

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Frédéric Michaud, François Vernay, Salvatore R. Manmana, Frédéric Mila. 2012-03-29. Antiferromagnetic spin-S chains with exactly dimerized ground states. https://doi.org/10.1103/physrevlett.108.127202

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