From String Nets to Nonabelions

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We discuss Hilbert spaces spanned by the set of string nets, i.e. trivalent graphs, on a lattice. We suggest some routes by which such a Hilbert space could be the low-energy subspace of a model of quantum spins on a lattice with short-ranged interactions. We then explain conditions which a Hamiltonian acting on this string net Hilbert space must satisfy in order for its ground state and low-lying quasiparticle excitations to be in the DFib topological phase. Using the string net wavefunction, we describe the properties of this phase. Our discussion is informed by mappings of string net wavefunctions to the chromatic polynomial and the Potts model.
13 pages

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Strongly Correlated Electrons, Statistical Mechanics, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/120684

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0610583
 http://arxiv.org/abs/cond-mat/0610583

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arXiv