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- W3100823713 abstract "We develop a continuum theory to model low energy excitations of a generic four-band time reversal invariant electronic system with boundaries. We propose a variational energy functional for the wavefunctions which allows us derive natural boundary conditions valid for such systems. Our formulation is particularly suited to develop a continuum theory of the protected edge/surface excitations of topological insulators both in two and three dimensions. By a detailed comparison of our analytical formulation with tight binding calculations of ribbons of topological insulators modeled by the Bernevig-Hughes-Zhang (BHZ) hamiltonian, we show that the continuum theory with the natural boundary condition provides an appropriate description of the low energy physics. As a spin-off, we find that in a certain parameter regime, the gap that arises in topological insulator ribbons of finite width due to the hybridization of edges states from opposite edges, depends non-monotonically on the ribbon width and can nearly vanish at certain magic widths." @default.
- W3100823713 created "2020-11-23" @default.
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- W3100823713 date "2012-07-27" @default.
- W3100823713 modified "2023-09-25" @default.
- W3100823713 title "Continuum theory of edge states of topological insulators: variational principle and boundary conditions" @default.
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- W3100823713 doi "https://doi.org/10.1088/0953-8984/24/35/355001" @default.
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