title: Antiferromagnetic spin-S chains with exactly dimerized ground states.
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 J1-J2 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.
authors.affiliation: Institute of Theoretical Physics, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland.
authors.forename: Frédéric
authors.initials: F
authors.lastname: Michaud
authors.forename: François
authors.initials: F
authors.lastname: Vernay
authors.forename: Salvatore R
authors.initials: SR
authors.lastname: Manmana
authors.forename: Frédéric
authors.initials: F
authors.lastname: Mila