Chaos and Interacting Electrons in Ballistic Quantum Dots
Chaos and Interacting Electrons in Ballistic Quantum Dots
复制标题
弹道量子点中的混沌和相互作用电子
DOI：
10.1103/physrevlett.80.895
复制
发表时间：
1997
影响因子：
8.6
通讯作者：
R. Jalabert
中科院分区：
文献类型：
--
作者：
D. Ullmo;H. Baranger;Klaus Richter;F. Oppen;R. Jalabert
我们证明了独立粒子的经典动力学可以决定弹道区域中相互作用电子的量子性质。这种联系是利用图解微扰理论和半经典有限温度格林函数建立的。具体地说，在相互作用和有限大小的共同作用下，轨道磁化强度大大高于朗道磁化率。正则系统中周期轨道族的存在使得它们的极化率在参数上大于混沌系统的极化率，这是由关联项产生的差异。
We show that the classical dynamics of independent particles can determine the quantum properties of interacting electrons in the ballistic regime. This connection is established using diagrammatic perturbation theory and semiclassical finite-temperature Green functions. Specifically, the orbital magnetism is greatly enhanced over the Landau susceptibility by the combined effects of interactions and finite size. The presence of families of periodic orbits in regular systems makes their susceptibility parametrically larger than that of chaotic systems, a difference which emerges from correlation terms.