Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-03-30
New J. Phys. 13 125001 (2011)
Physics
Condensed Matter
Strongly Correlated Electrons
revtex4, 4 pages
Scientific paper
We introduce the concept of nested topological order in a class of exact quantum lattice Hamiltonian models with non-abelian discrete gauge symmetry. The topological order present in the models can be partially destroyed by introducing a gauge symmetry reduction mechanism. When symmetry is reduced in several islands only, this imposes boundary conditions to the rest of the system giving rise to topological ground state degeneracy. This degeneracy is related to the existence of topological fluxes in between islands or, alternatively, hidden charges at islands. Additionally, island deformations give rise to an extension of topological quantum computation beyond quasiparticles.
Bombin H.
Martin-Delgado Miguel Angel
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