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Title: Quantum phase transition between cluster and antiferromagnetic states
Authors: Son, W. 
Amico, L.
Fazio, R.
Hamma, A.
Pascazio, S.
Vedral, V. 
Issue Date: Sep-2011
Source: Son, W., Amico, L., Fazio, R., Hamma, A., Pascazio, S., Vedral, V. (2011-09). Quantum phase transition between cluster and antiferromagnetic states. EPL 95 (5) : -. ScholarBank@NUS Repository.
Abstract: We study a Hamiltonian system describing a three-spin-1/2 cluster-like interaction competing with an Ising-like exchange. We show that the ground state in the cluster phase possesses symmetry protected topological order. A continuous quantum phase transition occurs as result of the competition between the cluster and Ising terms. At the critical point the Hamiltonian is self-dual. The geometric entanglement is also studied and used to investigate the quantum phase transition. Our findings in one dimension corroborate the analysis of the two-dimensional generalization of the system, indicating, at a mean-field level, the presence of a direct transition between an antiferromagnetic and a valence bond solid ground state. © 2011 EPLA.
Source Title: EPL
ISSN: 02955075
DOI: 95/50001
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