Topological Phase Transitions Driven by Magnetic Phase Transitions inFexBi2Te3(0≤x≤0.1) Single Crystals

We propose a phase diagram for ${\mathrm{Fe}}_{x}{\mathrm{Bi}}_{2}{\mathrm{Te}}_{3}$ ($0\ensuremath{\le}x\ensuremath{\le}0.1$) single crystals, which belong to a class of magnetically bulk-doped topological insulators. The evolution of magnetic correlations from ferromagnetic to antiferromagnetic gives rise to topological phase transitions, where the paramagnetic topological insulator of ${\mathrm{Bi}}_{2}{\mathrm{Te}}_{3}$ turns into a band insulator with ferromagnetic-cluster glassy behavior around $x\ensuremath{\sim}0.025$, and it further evolves to a topological insulator with valence-bond glassy behavior, which spans over the region from $x\ensuremath{\sim}0.03$ up to $x\ensuremath{\sim}0.1$. This phase diagram is verified by measuring magnetization, magnetotransport, and angle-resolved photoemission spectra with theoretical discussions.