A model study of present-day Hall-effect circulators

Understand

Stimulated by the recent implementation of a three-port Hall-effect microwave circulator of Mahoney et al.

• (MEA), we present model studies of the performance of this device.
• Our calculations are based on the capacitive-coupling model of Viola and DiVincenzo (VD).
• Based on conductance data from a typical Hall-bar device obtained from a two-dimensional electron gas (2DEG) in a magnetic field, we numerically solve the coupled field-circuit equations to calculate the expected performance of the circulator, as determined by the $S$ parameters of the device when coupled to 50$\Omega$ ports, as a function of frequency and magnetic field.