Interacting anyonic fermions in a two-body color code model
Author(s)Bombin, Hector; Kargarian, M.; Martin-Delgado, M. A.
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We introduce a two-body quantum Hamiltonian model of spin 1/2 on a two-dimensional spatial lattice with exact topological degeneracy in all coupling regimes. There exists a gapped phase in which the low-energy sector reproduces an effective color code model. High-energy excitations fall into three families of anyonic fermions that turn out to be strongly interacting. The model exhibits a Z[subscript 2]×Z[subscript 2] gauge-group symmetry and string-net integrals of motion, which are related to the existence of topological charges that are invisible to moving high-energy fermions.
DepartmentMassachusetts Institute of Technology. Department of Physics
Physical Review B
American Physical Society
Bombin, H. , M. Kargarian, and M. A. Martin-Delgado. “Interacting anyonic fermions in a two-body color code model.” Physical Review B 80.7 (2009): 075111. © 2009 The American Physical Society.
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