# Robust Topological Degeneracy of Classical Theories

@article{Vaezi2015RobustTD, title={Robust Topological Degeneracy of Classical Theories}, author={Mohammad-Sadegh Vaezi and Gerardo Guzman Ortiz and Zohar Nussinov}, journal={Physical Review B}, year={2015}, volume={93}, pages={205112} }

We challenge the hypothesis that the ground states of a physical system whose degeneracy depends on topology must necessarily realize topological quantum order and display non-local entanglement. To this end, we introduce and study a classical rendition of the Toric Code model embedded on Riemann surfaces of different genus numbers. We find that the minimal ground state degeneracy (and those of all levels) depends on the topology of the embedding surface alone. As the ground states of this…

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