# Bulk-boundary correspondence in three-dimensional topological insulators

@article{Isaev2011BulkboundaryCI, title={Bulk-boundary correspondence in three-dimensional topological insulators}, author={Leonid Isaev and Young Hoon Moon and Gerardo Guzman Ortiz}, journal={Physical Review B}, year={2011}, volume={84}, pages={075444} }

We discuss the relation between bulk topological invariants and the spectrum of surface states in three dimensional non-interacting topological insulators. By studying particular models, and considering general boundary conditions for the electron wavefunction on the crystal surface, we demonstrate that using experimental techniques that probe surface states, only strong topological and trivial insulating phases can be distinguished; the latter state being equivalent to a weak topological…

## 15 Citations

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We provide a systematic analysis of the boundary condition for the edge state, which is a ubiquitous feature in topological phases of matter. We show how to characterize the boundary condition, and…

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