Resonating singlet valence plaquettes

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dc.creatorPankov, S.
dc.creatorMoessner, R.
dc.creatorSondhi, S. L.
dc.date2007-05-07
dc.date2008-02-15
dc.date.accessioned2026-07-07T09:20:37Z
dc.date.available2026-07-07T09:20:37Z
dc.descriptionWe consider the simplest generalizations of the valence bond physics of SU(2) singlets to SU(N) singlets that comprise objects with N sites -- these are SU(N) singlet plaquettes with N=3 and N=4 in three spatial dimensions. Specifically, we search for a quantum mechanical liquid of such objects -- a resonating singlet valence plaquette phase that generalizes the celebrated resonating valence bond phase for SU(2) spins. We extend the Rokhsar-Kivelson construction of the quantum dimer model to the simplest SU(4) model for valence plaquette dynamics on a cubic lattice. The phase diagram of the resulting quantum plaquette model is analyzed both analytically and numerically. We find that the ground state is solid everywhere, including at the Rokhsar-Kivelson point where the ground state is an equal amplitude sum. By contrast, the equal amplitude sum of SU(3) singlet triangular plaquettes on the face centered cubic lattice is liquid and thus a candidate for describing a resonating single valence plaquette phase, given a suitably defined local Hamiltonian.
dc.description12 pages, 15 figures, minor changes, references added, Phys Rev B version
dc.identifierhttps://arxiv.org/abs/0705.0846
dc.identifierhttp://arxiv.org/abs/0705.0846
dc.identifierPhys. Rev. B 76, 104436 (2007)
dc.identifierdoi:10.1103/PhysRevB.76.104436
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154778
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleResonating singlet valence plaquettes
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