# Exactly Soluble Model of a 3 D Symmetry Protected Topological Phase of Bosons with Surface Topological Order

@inproceedings{Burnell2013ExactlySM, title={Exactly Soluble Model of a 3 D Symmetry Protected Topological Phase of Bosons with Surface Topological Order}, author={Fiona J. Burnell and Xie Chen and Lukasz Fidkowski and Ashvin Vishwanath}, year={2013} }

We construct an exactly soluble Hamiltonian on the D=3 cubic lattice, whose ground state is a topological phase of bosons protected by time reversal symmetry, i.e a symmetry protected topological (SPT) phase. In this model anyonic excitations are shown to exist at the surface but not in the bulk. The statistics of these surface anyons is explicitly computed and shown to be identical to the 3-fermion Z2 model, a variant of Z2 topological order which cannot be realized in a purely D=2 system with…

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