Magnon Hall effect

Abstract

Hall effect is a ancient but highly potential subfield in condensed matter physics, its origin dates back hundreds of years. In 1879, Hall made the momentous discovery that when a current-carrying conductor is placed in a magnetic field, the Lorentz force presses its electrons against one side of the conductor. This intriguing phenomenon was dubbed as Hall effect. Afterwards, a series of novel Hall effects were discovered, including anomalous Hall effect, quantum Hall effect, spin Hall effect, topological Hall effect, and planar Hall effect, etc. Notably, Hall effects play an important role in information transport, since it enables the mutual transformation of current with different directions. In bosonic systems such as magnons, a series of magnon Hall effects have been found, jointly driving the development of the magnon-based spintronics. In this perspective, we review the Hall effect in magnonic systems in recent years, briefly describe its modern semi-classical theories, including fictitious electromagnetic field theory and scattering theory, etc. Furthermore, we introduce the different magnon Hall effect and clarify the physics behind them. Finally,the prospect of magnon Hall effect is discussed.