Monopole Current and Unconventional Hall Response on Topological Insulator

Abstract

We study theoretically the charged current above a topological insulator (TI) separated by a ferromagnetic insulating layer. An unconventional Hall response occurs in the conducting layer on top of the TI which approaches to a constant value independent of R for R<<l and decays with R^{-1} for R>>l, where R is the separation between TI and conducting layer and l is the screening length. In the comoving frame, it can be interpreted as a monopole current attached to the TI surface. The same mechanism gives the Hall response and deflection of the electron beam injected to the surface of insulating ferromagnet. A realistic estimate of an order of magnitude shows that both effects give reasonably large signal experimentally accessible.

5 pages, 3 figures

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• Inter-band Coherence Response to Electric Fields in Crystals
• Topological Insulator Cell for Memory and Magnetic Sensor Applications
• Anomalous Hall response of topological insulators
• Charged skyrmions on the surface of a topological insulator
• Strong out-of-plane magnetic anisotropy of Fe adatoms on Bi${}_2$Te${}_3$
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• Topological Magneto-Electric Effect Decay
• Spin-spin interaction in the bulk of topological insulators
• Thermal screening at finite chemical potential on a topological surface and its interplay with proximity-induced ferromagnetism
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