约瑟夫森结阵列中强相互作用的Majorana模
Strongly interacting Majorana modes in an array of Josephson junctions
摘要:
一系列超导岛与半导体纳米线在正确的制度提供了一个宏观实现Kitaev的玩具模型马约拉纳线。我们发现,相邻岛屿之间的电容耦合导致马约拉纳模式之间的有效相互作用。我们证明了即使强排斥相互作用最终使系统进入Mott绝缘态,对于任意的强相互作用,(平凡的)带绝缘体和(平凡的)莫特绝缘体之间的竞争也会导致相互排斥的拓扑绝缘态.
英文摘要:
An array of superconducting islands with semiconducting nanowires in the right regime provides a macroscopic implementation of Kitaev's toy model for Majorana wires. We show that a capacitive coupling between adjacent islands leads to an effective interaction between the Majorana modes. We demonstrate that even though strong repulsive interaction eventually drive the system into a Mott insulating state the competition between the (trivial) band-insulator and the (trivial) Mott insulator leads to an interjacent topological insulating state for arbitrary strong interactions.
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