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- W2073529894 abstract "We present an analytic prescription for computing the edge dispersion $E(k)$ of a tight-binding Dirac Hamiltonian terminated at an abrupt crystalline edge. Specifically, we consider translationally invariant Dirac Hamiltonians with nearest-layer interaction. We present and prove a geometric formula that relates the existence of surface states as well as their energy dispersion to properties of the bulk Hamiltonian. We further prove the bulk-boundary correspondence between the Chern number and the chiral edge modes for quantum Hall systems within the class of Hamiltonians studied in the paper. Our results can be extended to the case of continuum theories that are quadratic in the momentum as well as other symmetry classes." @default.
- W2073529894 created "2016-06-24" @default.
- W2073529894 creator A5040055779 @default.
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- W2073529894 date "2011-03-18" @default.
- W2073529894 modified "2023-10-10" @default.
- W2073529894 title "Edge states and the bulk-boundary correspondence in Dirac Hamiltonians" @default.
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- W2073529894 doi "https://doi.org/10.1103/physrevb.83.125109" @default.
- W2073529894 hasPublicationYear "2011" @default.
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