TY - EJOUR
AB - 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.
T1 - Antiferromagnetic Spin-S Chains with Exactly Dimerized Ground States
DA - 2012
AU - Michaud, Frederic
AU - Vernay, Francois
AU - Manmana, Salvatore R.
AU - Mila, Frederic
JF - Physical Review Letters
SP - -
VL - 108
EP - -
ID - 176291
KW - Nearest-Neighbor Interaction
KW - Isotropic Heisenberg Chain
KW - Arbitrary Spins
KW - Linear Chain
KW - Quantum
KW - Model
KW - Excitations
KW - Transition
KW - Lattice
KW - S=1
ER -