Antiferromagnetic spin-S chains with exactly dimerized ground states

Details Antiferromagnetic spin-S chains with exactly dimerized ground states Antiferromagnetic spin-S chains with exactly dimerized ground states

2011-10-15

arxiv.org/abs/1110.3394v3

F. Michaud, F. Vernay, S. R. Manmana and F. Mila, Phys. Rev. Lett. 108, 127202 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 8 figures

Scientific paper

10.1103/PhysRevLett.108.127202

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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