中国物理B ›› 2025, Vol. 34 ›› Issue (3): 37401-037401.doi: 10.1088/1674-1056/ada431

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Magnetic flux transitions in two-band single-junction superconductors with time-reversal symmetry breaking

Guo Wang(王果)1, Tian-Yi Han(韩天意)1, and Hai Huang(黄海)2,†   

  1. 1 School of Nuclear Science and Engineering, North China Electric Power University, Beijing 102206, China;
    2 Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
  • 收稿日期:2024-10-11 修回日期:2024-12-15 接受日期:2024-12-31 发布日期:2025-03-15
  • 通讯作者: Hai Huang E-mail:huanghai@ncepu.edu.cn

Magnetic flux transitions in two-band single-junction superconductors with time-reversal symmetry breaking

Guo Wang(王果)1, Tian-Yi Han(韩天意)1, and Hai Huang(黄海)2,†   

  1. 1 School of Nuclear Science and Engineering, North China Electric Power University, Beijing 102206, China;
    2 Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
  • Received:2024-10-11 Revised:2024-12-15 Accepted:2024-12-31 Published:2025-03-15
  • Contact: Hai Huang E-mail:huanghai@ncepu.edu.cn

摘要: Based on Ginzburg-Landau theory, we investigate the electromagnetic properties of two-band superconductors with broken time-reversal symmetry. We propose an apparatus of a superconducting ring integrated with a microbridge structure to probe the peculiar topological excitations in the chiral system. The phase difference of two order parameters in the superconductor satisfies the double sine-Gordon equation, and a linear relationship between the phase difference at the two ends of the junction and the total magnetic flux in the ring can be obtained. Then with the Josephson current-phase relation, we establish the dependence of the circulating current and magnetic flux on the applied external magnetic field. Our results show that this single-junction system will exhibit the irreversible behaviors and two different types of fractional flux transitions can clearly manifest the time-reversal symmetry breaking in two-component superconductors.

关键词: two-band superconducting ring, microbridge, double sine-Gordon equation, fractional magnetic flux

Abstract: Based on Ginzburg-Landau theory, we investigate the electromagnetic properties of two-band superconductors with broken time-reversal symmetry. We propose an apparatus of a superconducting ring integrated with a microbridge structure to probe the peculiar topological excitations in the chiral system. The phase difference of two order parameters in the superconductor satisfies the double sine-Gordon equation, and a linear relationship between the phase difference at the two ends of the junction and the total magnetic flux in the ring can be obtained. Then with the Josephson current-phase relation, we establish the dependence of the circulating current and magnetic flux on the applied external magnetic field. Our results show that this single-junction system will exhibit the irreversible behaviors and two different types of fractional flux transitions can clearly manifest the time-reversal symmetry breaking in two-component superconductors.

Key words: two-band superconducting ring, microbridge, double sine-Gordon equation, fractional magnetic flux

中图分类号:  (Phenomenological theories (two-fluid, Ginzburg-Landau, etc.))

  • 74.20.De
74.20.Rp (Pairing symmetries (other than s-wave)) 74.20.-z (Theories and models of superconducting state)