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Recent interest in topological semimetals has lead to the proposal of manynew topological phases that can be realized in real materials. Next to Diracand Weyl systems, these include more exotic phases based on manifold banddegeneracies in the bulk electronic structure. The exotic states in topologicalsemimetals are usually protected by some sort of crystal symmetry and theintroduction of magnetic order can influence these states by breaking timereversal symmetry. Here we show that we can realize a rich variety of differenttopological semimetal states in a single material, $\rm CeSbTe$. This compoundcan exhibit different types of magnetic order that can be accessed easily byapplying a small field. It allows, therefore, for tuning the electronicstructure and can drive it through a manifold of topologically distinct phases,such as the first nonsymmorphic magnetic topological material with aneight-fold band crossing at a high symmetry point. Our experimental results arebacked by a full magnetic group theory analysis and ab initio calculations.This discovery introduces a realistic and promising platform for studying theinterplay of magnetism and topology.

Tunable Weyl and Dirac states in the nonsymmorphic compound $\rm\mathbf{CeSbTe}$