Journal
PHYSICAL REVIEW B
Volume 92, Issue 8, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.92.085126
Keywords
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Funding
- Dutch Foundation for Fundamental Research on Matter (FOM)
- Dutch Science Foundation (NWO) through a Rubicon grant
- National Science Foundation [DMR-12-06809]
- Direct For Mathematical & Physical Scien [1206809] Funding Source: National Science Foundation
- Division Of Materials Research [1206809] Funding Source: National Science Foundation
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We show that the local in-gap Green's function of a band insulator G(0)(epsilon, k(parallel to), r(vertical bar) = 0), with r(|) the position perpendicular to a codimension-1 or codimension-2 impurity, reveals the topological nature of the phase. For a topological insulator, the eigenvalues of this Green's function attain zeros in the gap, whereas for a trivial insulator the eigenvalues remain nonzero. This topological classification is related to the existence of in-gap bound states along codimension-1 and codimension-2 impurities. Whereas codimension-1 impurities can be viewed as soft edges, the result for codimension-2 impurities is nontrivial and allows for a direct experimental measurement of the topological nature of two-dimensional insulators.
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