  The interplay between different orders is of fundamental importance in
physics. The spontaneous, symmetry-breaking charge order, responsible for the
stripe or the nematic phase, has been of great interest in many contexts where
strong correlations are present, such as high-temperature superconductivity and
quantum Hall effect. In this article we show the unexpected result that in an
interacting two-dimensional electron system, the robustness of the nematic
phase, which represents an order in the charge degree of freedom, not only
depends on the orbital index of the topmost, half-filled Landau level, but it
is also strongly correlated with the magnetic order of the system.
Intriguingly, when the system is fully magnetized, the nematic phase is
particularly robust and persists to much higher temperatures compared to the
nematic phases observed previously in quantum Hall systems. Our results give
fundamental new insight into the role of magnetization in stabilizing the
nematic phase, while also providing a new knob with which it can be effectively
tuned.
