Order Parameter to Characterize Valence-Bond-Solid States in Quantum Spin Chains
نویسندگان
چکیده
منابع مشابه
Novel Order Parameter to Characterize Valence-Bond-Solid States
We propose an order parameter to characterize valence-bond-solid (VBS) states in quantum spin chains, given by the ground-state expectation value of a unitary operator appearing in the Lieb-Schultz-Mattis argument. We show that the order parameter changes the sign according to the configuration of the valence bonds. This allows us to determine the phase transition point in between different VBS...
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Quantum spin chains with exact valence-bond ground states are of great interest in condensed-matter physics. A class of such models was proposed by Affleck et al., each of which is su(2)-invariant and constructed as a sum of projectors onto definite total spin states at neighbouring sites. We propose to use the machinery of the q-deformation of su(2) to obtain generalisations of such models, an...
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Antiferromagnetic spin chains have been the subject of intense interest in recent years, largely due to the conjecture by Haldane that chains built from integer spins should exhibit a gap in their energy spectrum. The existence of this gap, originally predicted on the basis of simple fieldtheoretic considerations, was subsequently confirmed experimentally. Much insight into the properties of an...
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This article reviews the quantum entanglement in Valence-Bond-Solid (VBS) states defined on a lattice or a graph. The subject is presented in a self-contained and pedagogical way. The VBS state was first introduced in the celebrated paper by I. Affleck, T. Kennedy, E. H. Lieb and H. Tasaki (abbreviation AKLT is widely used). It became essential in condensed matter physics and quantum informatio...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2002
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.89.077204