Two coupled frustrated Haldane chains show an extended Ashkin-Teller quantum phase transition separating a plaquette phase from a uniform disordered phase, with connections to Haldane and dimerized phases via Gaussian and Ising transitions.
Antiferromagnetic spin-S chains with exactly dimerized ground states
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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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Extended Ashkin-Teller transition in two coupled frustrated Haldane chains
Two coupled frustrated Haldane chains show an extended Ashkin-Teller quantum phase transition separating a plaquette phase from a uniform disordered phase, with connections to Haldane and dimerized phases via Gaussian and Ising transitions.