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Topological Classification of Interacting Fermions in 1D

2010年08月26日 留下评论 Go to comments

Today two new preprints on arXiv solved independently an important problem: topological classification of interacting fermions in one dimension. Remarkably, the well-known Z classes break down to Z_8 when interaction is taken into account.

Topological phases of fermions in one dimension
Lukasz Fidkowski, Alexei Kitaev
arXiv:1008.4138

Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
Ari M. Turner, Frank Pollmann, Erez Berg
arXiv:1008.4346

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