Self-consistent theory of ferromagnetism on the surface of a topological insulator

Abstract

The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities, mediated by Dirac surface states on the surface of a topological insulator, leads to impurities ferromagnetic ordering. We present a self-consistent theory of the ordering, which takes into account a gap in the surface spectrum induced by the exchange field of magnetic impurities. We show that the gap does not change the general structure of RKKY interaction but considerable influences its strength. This feedback can be both positive and negative, depending on the ratio between the chemical potential and the gap, and it qualitatively modifies the temperature dependence of the spin polarization of magnetic impurities. The resulting unusual temperature dependence can be directly measured in angle resolved photoemission spectroscopy (ARPES) and scanning tunneling microscopy (STM) experiments.

6 pages, 4 figures. Minor corrections, published version

References in corpus (4)

• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Ordering of magnetic impurities and tunable electronic properties of topological insulators
• Interplay between ferromagnetism, surface states, and quantum corrections in a magnetically doped topological insulator
• Surface magnetic ordering in topological insulators with bulk magnetic dopants

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