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2012

Parafermionic edge zero modes in Z_n-invariant spin chains

Fendley, Paul

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A sign of topological order in a gapped one-dimensional quantum chain is the existence of edge zero modes.

These occur in the Z_2-invariant Ising/Majorana chain, where they can be understood using free-fermion techniques.
Here I discuss their presence in spin chains with Z_n symmetry, and prove that for appropriate coupling they are exact, even in this strongly interacting system.
These modes are naturally expressed in terms of parafermions, generalizations of fermions to the Z_n case.

Parafermionic edge zero modes in Z_n-invariant spin chains · Around

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