Dhar Abhishek, Sen Diptiman, Roy Dibyendu
Raman Research Institute, Bangalore 560080, India.
Phys Rev Lett. 2008 Aug 8;101(6):066805. doi: 10.1103/PhysRevLett.101.066805.
We address the problem of transmission of electrons between two noninteracting leads through a region where they interact (quantum dot). We use a model of spinless electrons hopping on a one-dimensional lattice and with an interaction on a single bond. We show that all two-particle scattering states can be found exactly. Comparisons are made with numerical results on the time evolution of a two-particle wave packet, and several interesting features are found. For N particles, the scattering state is obtained within a two-particle scattering approximation. For a dot connected to Fermi seas at different chemical potentials, we find an expression for the change in the Landauer current resulting from the interactions on the dot. We end with some comments on the case of spin-1/2 electrons.
我们研究了电子在两个非相互作用的引线之间通过一个它们相互作用的区域（量子点）的传输问题。我们使用了一个无自旋电子在一维晶格上跳跃且在单键上存在相互作用的模型。我们表明所有两粒子散射态都能精确求解。将其与两粒子波包时间演化的数值结果进行了比较，并发现了几个有趣的特征。对于(N)个粒子，散射态是在两粒子散射近似下得到的。对于连接到具有不同化学势的费米海的量子点，我们找到了由于量子点上的相互作用导致的朗道尔电流变化的表达式。最后，我们对自旋为(1/2)电子的情况进行了一些评论。
