Error-correction properties of an interacting topological insulator

We analyze the phase diagram of a topological insulator model including\nantiferromagnetic interactions in the form of an extended Su-Schrieffer Heeger\nmodel. To this end, we employ a recently introduced operational definition of\ntopological order based on the ability of a system to perform topological error\ncorrection. We show that the necessary error correction statistics can be\nobtained efficiently using a Monte-Carlo sampling of a matrix product state\nrepresentation of the ground state wave function. Specifically, we identify two\ndistinct symmetry-protected topological phases corresponding to two different\nfully dimerized reference states. Finally, we extend the notion of error\ncorrection to classify thermodynamic phases to those exhibiting local order\nparameters, finding a topologically trivial antiferromagnetic phase for\nsufficiently strong interactions.\n