Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2012-01-27
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
References updated and added discussion to section IV
Scientific paper
Results are presented for anomalous currents on the surface of topological insulators with ferromagnetic time-reversal breaking mass terms on fully closed topologies. Half-integer quantized Hall currents are computed using Dirac energy eigenstates on a flat torus (genus one topology) and closed cap cylinder (genus zero topology) with various massive regions and electromagnetic sources applied. Unlike the massive Dirac theory on an infinite plane with anomaly dependence $|m|/m$, one finds a smooth dependence when the mass-region strength is not infinite. This dependence could be measurable for typical ferromagnetic materials and crystal sizes. Issues related to charge transport, gap-crossing bands, and flux threading are discussed and clarified for different mass geometries. Finally, in light of the results for various mass configurations, a construction is proposed using ferromagnetic mass terms that can serve as a potential charged qubit.
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