Nonlinearities in the classical Hall resistance of two-dimensional electron gases exposed to retroreflective obstacles at random positions are reported. The Hall slope develops a nonmonotonic component, which increases strongly in amplitude and shifts to larger magnetic fields as the obstacle density increases. At small magnetic fields, the relation between the longitudinal and transverse conductivity remains in qualitative agreement with the Drude-Boltzmann equations, although the characteristic timescale can no longer be interpreted as a momentum relaxation time. The corresponding Hall conductivity develops a marked minimum at a characteristic magnetic field outside the interval where the data agree qualitatively with the Drude-Boltzmann model. With the help of classical event-driven simulations, this minimum is attributed to successive retroreflections which lead to inverted transverse deflection.
Themenbereich der Metrologie
Elektrizität und Magnetismus
Zitierung
Bartels, F., Horn-Cosfeld, B., Schluck, J., Cerchez, M., Mailly, D., Pierz, K., Schumacher, H. W., Sanvee, B., Horbach, J., & Heinzel, T. (2026). Nonlinearities in the Hall resistance by retroreflective scattering. Physical Review B, 113, 165306-1–165306-8. https://doi.org/https://doi.org/10.1103/lg7z-nrjy
