Interference effects induced by a precessing easy-plane magnet coupled to a helical edge state

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Kevin A. Madsen
  • Piet W. Brouwer
  • Patrik Recher
  • Peter G. Silvestrov

External Research Organisations

  • Freie Universität Berlin (FU Berlin)
  • Technische Universität Braunschweig
  • Laboratory for Emerging Nanometrology Braunschweig (LENA)
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Details

Original languageEnglish
Article number115142
JournalPhysical Review B
Volume103
Issue number11
Publication statusPublished - 24 Mar 2021
Externally publishedYes

Abstract

The interaction of a magnetic insulator with the helical electronic edge of a two-dimensional topological insulator has been shown to lead to many interesting phenomena. One of these is that for a suitable orientation of the magnetic anisotropy axis, the exchange coupling to an easy-plane magnet has no effect on DC electrical transport through a helical edge, despite the fact that it opens a gap in the spectrum of the helical edge [Meng, Phys. Rev. B 90, 205403 (2014)PRBMDO1098-012110.1103/PhysRevB.90.205403]. Here, we theoretically consider such a magnet embedded in an interferometer, consisting of a pair of helical edge states connected by two tunneling contacts, at which electrons can tunnel between the two edges. Using a scattering matrix approach, we show that the presence of the magnet in one of the interferometer arms gives rise to AC currents in response to an applied DC voltage. On the other hand, the DC Aharonov-Bohm effect is absent at zero temperature and small DC voltages, and only appears if the applied voltage or the temperature exceeds the magnet-induced excitation gap.

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Cite this

Interference effects induced by a precessing easy-plane magnet coupled to a helical edge state. / Madsen, Kevin A.; Brouwer, Piet W.; Recher, Patrik et al.
In: Physical Review B, Vol. 103, No. 11, 115142, 24.03.2021.

Research output: Contribution to journalArticleResearchpeer review

Madsen KA, Brouwer PW, Recher P, Silvestrov PG. Interference effects induced by a precessing easy-plane magnet coupled to a helical edge state. Physical Review B. 2021 Mar 24;103(11):115142. doi: 10.1103/PhysRevB.103.115142
Madsen, Kevin A. ; Brouwer, Piet W. ; Recher, Patrik et al. / Interference effects induced by a precessing easy-plane magnet coupled to a helical edge state. In: Physical Review B. 2021 ; Vol. 103, No. 11.
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N2 - The interaction of a magnetic insulator with the helical electronic edge of a two-dimensional topological insulator has been shown to lead to many interesting phenomena. One of these is that for a suitable orientation of the magnetic anisotropy axis, the exchange coupling to an easy-plane magnet has no effect on DC electrical transport through a helical edge, despite the fact that it opens a gap in the spectrum of the helical edge [Meng, Phys. Rev. B 90, 205403 (2014)PRBMDO1098-012110.1103/PhysRevB.90.205403]. Here, we theoretically consider such a magnet embedded in an interferometer, consisting of a pair of helical edge states connected by two tunneling contacts, at which electrons can tunnel between the two edges. Using a scattering matrix approach, we show that the presence of the magnet in one of the interferometer arms gives rise to AC currents in response to an applied DC voltage. On the other hand, the DC Aharonov-Bohm effect is absent at zero temperature and small DC voltages, and only appears if the applied voltage or the temperature exceeds the magnet-induced excitation gap.

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