Thermodynamic anomalous Hall effect in quantum oscillation regime in a semiconductor with low concentration of transition element impurities

The given report is devoted to the study of anomalous Hall resistance of donor electron system of hybridized states of transition element impurities of low concentration in quantum oscillation regime. There presented theoretical description of predicted specific behaviors on the base of the ideas about thermodynamic anomalous Hall effect. In experiments on mercury selenide crystals with cobalt impurities of low concentration one revealed the quantum oscillations of anomalous contribution to the Hall resistance corresponding to the developed concepts. •Study of quantum oscillations of anomalous Hall resistance of donor electron system.•Quantum oscillations detected in mercury selenide crystals with cobalt impurities.•The oscillations are periodic in the inverse magnetic field and have large amplitude.•Theory based on the concept of thermodynamic anomalous Hall effect is provided.