  The emergence of exceptional points (EPs) in the parameter space of a
non-hermitian (2D) eigenvalue problem is studied in a general sense in
mathematical physics, and has in the last decade successively reached the scope
of experiments. In coupled systems, it gives rise to unique physical phenomena,
which enable novel approaches for the development of seminal types of highly
sensitive sensors. Here, we demonstrate at room temperature the emergence of
EPs in coupled spintronic nanoscale oscillators and hence exploit the system's
non-hermiticity. We describe the observation of amplitude death of
self-oscillations and other complex dynamics, and develop a linearized
non-hermitian model of the coupled spintronic system, which properly describes
the main experimental features. Interestingly, these spintronic nanoscale
oscillators are deployment-ready in different applicational technologies, such
as field, current or rotation sensors, radiofrequeny and wireless devices and,
more recently, novel neuromorphic hardware solutions. Their unique and
versatile properties, notably their large nonlinear behavior, open up
unprecedented perspectives in experiments as well as in theory on the physics
of exceptional points. Furthermore, the exploitation of EPs in spintronics
devises a new paradigm for ultrasensitive nanoscale sensors and the
implementation of complex dynamics in the framework of non-conventional
computing.
