Latyshev Alex, Semenov Andrew G, Zaikin Andrei D
I.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical Institute, 119991 Moscow, Russia.
National Research University Higher School of Economics, 101000 Moscow, Russia.
Beilstein J Nanotechnol. 2020 Sep 14;11:1402-1408. doi: 10.3762/bjnano.11.124. eCollection 2020.
We investigate superconductor-insulator quantum phase transitions in ultrathin capacitively coupled superconducting nanowires with proliferating quantum phase slips. We derive a set of coupled Berezinskii-Kosterlitz-Thouless-like renormalization group equations demonstrating that interaction between quantum phase slips in one of the wires gets modified due to the effect of plasma modes propagating in another wire. As a result, the superconductor-insulator phase transition in each of the wires is controlled not only by its own parameters but also by those of the neighboring wire as well as by mutual capacitance. We argue that superconducting nanowires with properly chosen parameters may turn insulating once they are brought sufficiently close to each other.
我们研究了具有大量量子相位滑移的超薄电容耦合超导纳米线中的超导体-绝缘体量子相变。我们推导了一组耦合的类贝雷津斯基-科斯特利茨- Thouless重整化群方程，表明由于在另一根导线中传播的等离子体模式的影响，其中一根导线中的量子相位滑移之间的相互作用会被修改。结果，每根导线中的超导体-绝缘体相变不仅由其自身参数控制，还由相邻导线的参数以及互电容控制。我们认为，具有适当选择参数的超导纳米线一旦彼此足够靠近就可能变为绝缘。
