Exact Topological Quantum Order in D=3 and Beyond: Branyons and Brane-Net Condensates

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dc.creatorBombin, H.
dc.creatorMartin-Delgado, M. A.
dc.date2006-07-27
dc.date2006-07-29
dc.date.accessioned2026-07-07T10:24:15Z
dc.date.available2026-07-07T10:24:15Z
dc.descriptionWe construct an exactly solvable Hamiltonian acting on a 3-dimensional lattice of spin-$\frac 1 2$ systems that exhibits topological quantum order. The ground state is a string-net and a membrane-net condensate. Excitations appear in the form of quasiparticles and fluxes, as the boundaries of strings and membranes, respectively. The degeneracy of the ground state depends upon the homology of the 3-manifold. We generalize the system to $D\geq 4$, were different topological phases may occur. The whole construction is based on certain special complexes that we call colexes.
dc.descriptionRevtex4 file, color figures, minor corrections
dc.identifierhttps://arxiv.org/abs/cond-mat/0607736
dc.identifierhttp://arxiv.org/abs/cond-mat/0607736
dc.identifierPhys.Rev.B75:075103,2007
dc.identifierdoi:10.1103/PhysRevB.75.075103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176117
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleExact Topological Quantum Order in D=3 and Beyond: Branyons and Brane-Net Condensates
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