Anomalous interference in Aharonov-Bohm rings with two Majorana bound states

Anomalous interference in Aharonov-Bohm rings with two Majorana bound states
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具有两个马约拉纳束缚态的阿哈罗诺夫-玻姆环的异常干涉

DOI:
10.1103/physrevb.90.081405
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发表时间:
2014
期刊:
影响因子:
3.7
通讯作者:
Akiko Ueda and Takehito Yokoyama
Akiko Ueda and Takehito Yokoyama
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
M. Fujiwara;T. Noda;A. Tanaka;K. Toubaru;H.-Q. Zhao;and S. Takeuchi;Akiko Ueda and Takehito Yokoyama

文献摘要

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我们研究了与有限长度拓扑超导体边缘上的量子点和两个马约拉纳束缚态耦合的阿哈罗诺夫-玻姆 (AB) 干涉仪的电导。当马约拉纳束缚态和阿哈罗诺夫-玻姆干涉仪之间的隧道耦合固定到特定相位时,只要到相对侧的两个马约拉纳费米子的跳变相等,无论所有参数如何,微分电导都变为零。在所有情况下,零偏置电压下的电导不会随着穿透环的磁通量而变化。当量子点的能级等于马约拉纳束缚态的能量时,由于粒子空穴对称性,AB振荡表现出周期性。拓扑超导体时间反演对称性的破缺导致隧道耦合特定相的AB振荡不具有周期性,而时间反演对称性的破缺则导致量子点中的三重态和单重态在另一特定相中混合。
We investigate the conductance of an Aharonov-Bohm (AB) interferometer coupled to a quantum dot and two Majorana bound states on the edge of the topological superconductor with finite length. When the tunnel couplings between the Majorana bound states and the Aharonov-Bohm interferometer are fixed to the specific phase, the differential conductance becomes zero irrespective of all the parameters as long as the hoppings to the two Majorana fermions on the opposite side are equal. The conductance at the zero bias voltage does not change with the magnetic flux penetrating the ring for all cases. When the energy level of the quantum dot is equal to the energy of the Majorana bound states, the AB oscillation showsperiodicity due to the particle-hole symmetry. The breaking of the time-reversal symmetry of the topological superconductor results inperiodicity of the AB oscillation for the specific phase of the tunnel coupling while the time-reversal symmetry breaking leads to the mixing of the triplet and singlet states in the quantum dot in another specific phase.