通过费米海连接的两个相互作用共振能级的输运
Transport through two interacting resonant levels connected by a Fermi sea
摘要：
本文利用含时密度矩阵重整化群研究了有限偏压下，即线性区以外，通过费米海连接的两个相互作用共振能级的输运。我们首先考虑的方法问题，如协议，导致电流咖喱状态和稳态的表征。在有限的尺寸下，电流和相互作用能级的占据都作为时间的函数振荡。我们确定的振幅和周期的这种振荡作为偏置的函数。我们发现，在两个点上的职业振荡的相对相位依赖于杂质之间的距离和费米海的费米动量，如预期的RKKY相互作用。此外，稳态电流的近似值显示作为杂质之间的距离的函数的振荡。这种行为可以用自由情况下的共振来解释。然后，我们讨论了相互作用对这种行为的影响。我们得出结论，显示的影响，偏置电流，使连接与一个杂质的情况下。
英文摘要：
We study transport at finite bias, i.e. beyond the linear regime, through two interacting resonant levels connected by a Fermi sea, by means of time-dependent density matrix renormalization group. We first consider methodological issues, like the protocol that leads to a current-currying state and the characterization of the steady state. At finite sizes both the current and the occupations of the interacting levels oscillate as a function of time. We determine the amplitude and period of such oscillations as a function of bias. We find that the occupations on the two dots oscillate with a relative phase which depends on the distance between the impurities and on the Fermi momentum of the Fermi sea, as expected for RKKY interactions. Also the approximant to the steady-state current displays oscillations as a function of the distance between the impurities. Such a behavior can be explained by resonances in the free case. We then discuss the incidence of interaction on such a behavior. We conclude by showing the effect of the bias on the current, making connection with the one-impurity case.
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