Unconventional ${\mathbb{Z}}_2\times {\mathbb{Z}}_2\times {\mathbb{Z}}_2$ topological order in the kagome XY toric code

C. Kölbl, M. Vieweg, K. P. Schmidt

We investigate the quantum phase diagram of the XY toric code (XYTC) on the kagome lattice consisting of $XY$ hexagonal and triangular plaquette operators and conserved star operat…