Magnetization relaxation and search for the magnetic gap in bulk-insulating V-doped (Bi, Sb)$_2$Te$_3$
E. Golias, E. Weschke, T. Flanagan, E. Schierle, A. Richardella, E. D., L. Rienks, P. S. Mandal, A. Varykhalov, J. S\'anchez-Barriga, F. Radu, N., Samarth, O. Rader

TL;DR
This study investigates V-doped (Bi,Sb)$_2$Te$_3$'s magnetic properties and searches for a magnetic gap, finding no gap at low temperatures and revealing magnetization relaxation effects that impact the QAHE.
Contribution
The paper provides the first direct magnetic characterization of V-doped (Bi,Sb)$_2$Te$_3$ and links magnetization relaxation to the absence of a magnetic gap.
Findings
No magnetic gap detected at the Dirac point down to 1 K.
V-doped (Bi,Sb)$_2$Te$_3$ exhibits high coercivity and magnetization relaxation.
Magnetization decay occurs on a minutes timescale, affecting the QAHE.
Abstract
V-doped (Bi,Sb)Te has a ten times higher magnetic coercivity than its Cr-doped counterpart and therefore is believed to be a superior system for the quantum anomalous Hall effect (QAHE). The QAHE requires the opening of a magnetic band gap at the Dirac point. We do not find this gap by angle-resolved photoelectron spectroscopy down to 1 K. By x-ray magnetic circular dichroism (XMCD) we directly probe the magnetism at the V site and in zerofield. Hysteresis curves of the XMCD signal show a strong dependence of the coercivity on the ramping velocity of the magnetic field. The XMCD signal decays on a time scale of minutes which we conclude contributes to the absence of a detectable magnetic gap at the Dirac point.
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