@article{Michaud:176291,
title = {Antiferromagnetic Spin-S Chains with Exactly Dimerized Ground States},
author = {Michaud, Frederic and Vernay, Francois and Manmana, Salvatore R. and Mila, Frederic},
journal = {Physical Review Letters},
volume = {108},
pages = {127202},
year = {2012},
abstract = {We show that spin S Heisenberg spin chains with an additional three-body interaction of the form (Si-1 center dot S-i)(S-i center dot 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 to show that the transition between the Haldane and the dimerized phases is continuous with a 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.},
url = {http://infoscience.epfl.ch/record/176291},
doi = {10.1103/PhysRevLett.108.127202},
}