Josephson current through a Luttinger liquid.
Josephson current through a Luttinger liquid.
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DOI：
10.1103/physrevlett.74.1843
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发表时间：
1994-08
影响因子：
8.6
通讯作者：
Fazio;Hekking;Odintsov
中科院分区：
文献类型：
--
作者：
Fazio;Hekking;Odintsov
我们通过相互作用电子的一维系统研究约瑟夫森效应，该系统通过隧道结连接到两个超导体。这些相互作用在单通道 Luttinger 模型的框架中进行处理。在零温度下，发现约瑟夫森临界电流随着结之间距离的增加而以代数方式衰减。指数与库仑相互作用的强度成正比。如果 Luttinger 液体的尺寸有限，则约瑟夫森电流取决于以 4 为模的电子总数。这些宇称效应针对环进行研究，电容耦合到栅极电压并通过磁通量穿过。约瑟夫森电流作为栅极电压的函数连续变化，并作为磁通量的函数{\em逐步变化}。与非相互作用的情况相比，电子-电子相互作用引入了{\em质量}新特征。
We study the Josephson effect through a one-dimensional system of interacting electrons, connected to two superconductors by tunnel junctions. The interactions are treated in the framework of the one-channel Luttinger model. At zero temperature, the Josephson critical current is found to decay algebraically with increasing distance between the junctions. The exponent is proportional to the strength of the Coulomb interaction. If the Luttinger liquid has a finite size, the Josephson current depends on the total number of electrons modulo 4. These parity effects are studied for the ring, coupled capacitively to a gate-voltage and threaded by a magnetic flux. The Josephson current changes continuously as a function of the gate voltage and {\em stepwise} as a function of the magnetic flux. The electron-electron interaction introduces {\em qualitatively} new features compared to the non-interacting case.