Fermion-Parity Anomaly of the Critical Supercurrent in the Quantum Spin-Hall Effect

被引:121
作者
Beenakker, C. W. J. [1 ]
Pikulin, D. I. [1 ]
Hyart, T. [1 ]
Schomerus, H. [2 ]
Dahlhaus, J. P. [1 ]
机构
[1] Leiden Univ, Inst Lorentz, NL-2300 RA Leiden, Netherlands
[2] Univ Lancaster, Dept Phys, Lancaster LA1 4YB, England
关键词
JOSEPHSON-JUNCTIONS; MAJORANA FERMIONS; NANOWIRE; SUPERCONDUCTOR; SIGNATURE;
D O I
10.1103/PhysRevLett.110.017003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The helical edge state of a quantum spin-Hall insulator can carry a supercurrent in equilibrium between two superconducting electrodes (separation L, coherence length xi). We calculate the maximum (critical) current I-c that can flow without dissipation along a single edge, going beyond the short-junction restriction L << xi of earlier work, and find a dependence on the fermion parity of the ground state when L becomes larger than xi. Fermion-parity conservation doubles the critical current in the low-temperature, long-junction limit, while for a short junction I-c is the same with or without parity constraints. This provides a phase-insensitive, dc signature of the 4 pi-periodic Josephson effect. DOI: 10.1103/PhysRevLett.110.017003
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页数:5
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