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The intrinsic antiferromagnetic topological insulator MnBi$_{2}$Te$_{4}$undergoes a metamagnetic transition in a c-axis magnetic field. It has beenpredicted that ferromagnetic MnBi$_{2}$Te$_{4}$ is an ideal Weyl semimetal witha single pair of Weyl nodes. Here we report measurements of quantumoscillations detected in the field-induced ferromagnetic phase ofMnBi$_{2-x}$Sb$_{x}$Te$_{4}$, where Sb substitution tunes the majority carriersfrom electrons to holes. Single frequency Shubnikov-de Haas oscillations wereobserved in a wide range of Sb concentrations (0.54 $\leq$ x $\leq$ 1.21). Theevolution of the oscillation frequency and the effective mass shows reasonableagreement with the Weyl semimetal band-structure of ferromagneticMnBi$_{2}$Te$_{4}$ predicted by density functional calculations. Intriguingly,the quantum oscillation frequency shows a strong temperature dependence,indicating that the electronic structure sensitively depends on magnetism.

Quantum Oscillations in the Field-induced Ferromagnetic State of MnBi$_{2-x}$Sb$_{x}$Te$_{4}$