  Magnetic topological semimetals, a novel state of quantum matter with
nontrivial band topology, have emerged as a new frontier in physics and
materials science. An external stimulus like temperature or magnetic field
could be expected to alter their spin states and thus the Fermi surface
anisotropies and topological features. Here, we perform the angular
magnetoresistance measurements and electronic band structure calculations to
reveal the evolution of HoSb's Fermi surface anisotropies and topological
nature in different magnetic states. The angular magnetoresistance results
manifest that its Fermi surface anisotropy is robust in the paramagnetic state
but is significantly modulated in the antiferromagnetic and ferromagnetic
states. More interestingly, a transition from the trivial (nontrivial) to
nontrivial (trivial) topological electronic phase is observed when HoSb
undergoes a magnetic transition from the paramagnetic (antiferromagnetic) to
antiferromagnetic (ferromagnetic) state induced by temperature (applied
magnetic field). Our studying suggests that HoSb provides an archetype platform
to study the correlations between magnetism and topological states of matter.
