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.
展开▼
机译：我们研究超强电容耦合超导纳米线的超导体 - 绝缘体量子相转变，具有增殖量子相滑动。我们得出一组耦合Berezinskii-Kosterlitz-Thoub等重型化组方程，证明了一种导线中的一根电线中的量子相滑动之间的相互作用由于等离子体模式在另一线中传播的效果而被修改。结果，每个导线中的超导体绝缘体相位过渡不仅由其自身的参数控制，而且由相邻线的那些以及相互电容的相同控制。 We argue that superconducting nanowires with properly chosen parameters may turn insulating once they are brought sufficiently close to each other.
展开▼
