In this paper, Leibniz' formula of generalized divided difference with respect to a class of differential operators whose basic sets of solutions have power form, is considered. The recurrence formula of Green fun...In this paper, Leibniz' formula of generalized divided difference with respect to a class of differential operators whose basic sets of solutions have power form, is considered. The recurrence formula of Green function about the operators is also given.展开更多
We use non-equilibrium Green's function method to analyze the shot noise spectrum of artificial single molecular magnets(ASMM) model in the strong spin–orbit coupling limit in sequential tunneling regime, mainly f...We use non-equilibrium Green's function method to analyze the shot noise spectrum of artificial single molecular magnets(ASMM) model in the strong spin–orbit coupling limit in sequential tunneling regime, mainly focusing on the effects of local large spin. In the linear response regime, the shot noise shows 2S + 1 peaks and is strongly spin-dependent.In the nonlinear response regime, one can observe 2S + 1 steps in shot noise and Fano factor. In these steps one can see the significant enhancement effect due to the spin-dependent multi-channel process of local large spin, which reduces electron correlations.展开更多
文摘In this paper, Leibniz' formula of generalized divided difference with respect to a class of differential operators whose basic sets of solutions have power form, is considered. The recurrence formula of Green function about the operators is also given.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.1150421011504211+11 种基金11504212112742071127420811174115and11325417)the Key Program of the Ministry of Education of China(Grant No.212018)the Scientific and Technological Project of Shanxi ProvinceChina(Grant No.2015031002-2)the Natural Science Foundation of Shanxi ProvinceChina(Grant Nos.2013011007-2 and 2013021010-5) the Outstanding Innovative Teams of Higher Learning Institutions of Shanxi ProvinceChina
文摘We use non-equilibrium Green's function method to analyze the shot noise spectrum of artificial single molecular magnets(ASMM) model in the strong spin–orbit coupling limit in sequential tunneling regime, mainly focusing on the effects of local large spin. In the linear response regime, the shot noise shows 2S + 1 peaks and is strongly spin-dependent.In the nonlinear response regime, one can observe 2S + 1 steps in shot noise and Fano factor. In these steps one can see the significant enhancement effect due to the spin-dependent multi-channel process of local large spin, which reduces electron correlations.