In the present paper, we study the effect of van Hove singularities of conduction electron on the transport of a single quantum dot system in the Kondo regime. By using both the equation-of-motion and the noncrossing ...In the present paper, we study the effect of van Hove singularities of conduction electron on the transport of a single quantum dot system in the Kondo regime. By using both the equation-of-motion and the noncrossing approximation techniques, we show that the corrections caused by these singularities are actually minor. It can be explained by observing that the singularities in the equations, which determine the electronic DOS on the dot, are integrable. Furthermore, we find that, although each line width function is divergent at van Hove singular points, the total divergence is canceled out in the final formula to calculate the current through the system. Therefore, as far as the qualitative properties of the system is concerned, these singularities can be ignored and the wide-band approximation can be safely used in calculation.展开更多
We study an ideal electron gas obeying fractional statistics.The parameters for exclusion statistics are given by the strength of the repulsive interactions.In some parameter regions,it is found the system shows itine...We study an ideal electron gas obeying fractional statistics.The parameters for exclusion statistics are given by the strength of the repulsive interactions.In some parameter regions,it is found the system shows itinerant ferromagnetism.展开更多
文摘In the present paper, we study the effect of van Hove singularities of conduction electron on the transport of a single quantum dot system in the Kondo regime. By using both the equation-of-motion and the noncrossing approximation techniques, we show that the corrections caused by these singularities are actually minor. It can be explained by observing that the singularities in the equations, which determine the electronic DOS on the dot, are integrable. Furthermore, we find that, although each line width function is divergent at van Hove singular points, the total divergence is canceled out in the final formula to calculate the current through the system. Therefore, as far as the qualitative properties of the system is concerned, these singularities can be ignored and the wide-band approximation can be safely used in calculation.
文摘We study an ideal electron gas obeying fractional statistics.The parameters for exclusion statistics are given by the strength of the repulsive interactions.In some parameter regions,it is found the system shows itinerant ferromagnetism.
