Ground-State Degeneracy of Correlated Insulators with Edges

Details Ground-State Degeneracy of Correlated Insulators with Edges Ground-State Degeneracy of Correlated Insulators with Edges

2004-09-28

arxiv.org/abs/cond-mat/0409729v1

Phys. Rev. B 72, 073109 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, REVTeX 4

Scientific paper

10.1103/PhysRevB.72.073109

Using the topological flux insertion procedure, the ground-state degeneracy of an insulator on a periodic lattice with filling factor $\nu=p/q$ was found to be at least $q$-fold. Applying the same argument in a lattice with edges, we show that the degeneracy is modified by the additional edge density $\nu_{\mysw{E}}$ associated with the open boundaries. In particular, we demonstrate that these edge corrections may even make an insulator with integer bulk filling degenerate.

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