Vortices and Quantum Tunneling in Current-Biased 0-π-0 Josephson Junctions of d-Wave Superconductors

Takeo Kato; Masatoshi Imada

doi:10.1143/JPSJ.66.1445

Vortices and Quantum Tunneling in Current-Biased 0-π-0 Josephson Junctions of d-Wave Superconductors

Takeo Kato, Masatoshi Imada

Research output: Contribution to journal › Article

34 Citations (Scopus)

Abstract

We study a current-biased 0-π-0 Josephson junction made by high-T_c superconductors, theoretically. When a length of the π junction is large enough, this junction contains a vortex-antivortex pair of both ends of the π junction. Magnetic flux carried by the vortices is calculated using the sine-Gordon equation. The result shows that the magnetic flux of the vortices is suppresed to zero as the distance between the vortices is reduced. By applying an external current, the orientation of the vortices is reversed, and a voltage pulse is generated. The current needed for this transition and generated pulse energy are calculated. Macroscopic quantum tunneling (MQT) in this transition is also studied. The tunneling rate has been evaluated by an effective Hamiltonian with one degree of freedom.

Original language	English
Pages (from-to)	1445-1449
Number of pages	5
Journal	journal of the physical society of japan
Volume	66
Issue number	5
DOIs	https://doi.org/10.1143/JPSJ.66.1445
Publication status	Published - 1997 May
Externally published	Yes

Keywords

Half vortex
High-T superconductor
Macroscopic quantum tunneling
Sine-Gordon equation
π junction

ASJC Scopus subject areas

Physics and Astronomy(all)

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Kato, T., & Imada, M. (1997). Vortices and Quantum Tunneling in Current-Biased 0-π-0 Josephson Junctions of d-Wave Superconductors. journal of the physical society of japan, 66(5), 1445-1449. https://doi.org/10.1143/JPSJ.66.1445

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abstract = "We study a current-biased 0-π-0 Josephson junction made by high-Tc superconductors, theoretically. When a length of the π junction is large enough, this junction contains a vortex-antivortex pair of both ends of the π junction. Magnetic flux carried by the vortices is calculated using the sine-Gordon equation. The result shows that the magnetic flux of the vortices is suppresed to zero as the distance between the vortices is reduced. By applying an external current, the orientation of the vortices is reversed, and a voltage pulse is generated. The current needed for this transition and generated pulse energy are calculated. Macroscopic quantum tunneling (MQT) in this transition is also studied. The tunneling rate has been evaluated by an effective Hamiltonian with one degree of freedom.",

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AB - We study a current-biased 0-π-0 Josephson junction made by high-Tc superconductors, theoretically. When a length of the π junction is large enough, this junction contains a vortex-antivortex pair of both ends of the π junction. Magnetic flux carried by the vortices is calculated using the sine-Gordon equation. The result shows that the magnetic flux of the vortices is suppresed to zero as the distance between the vortices is reduced. By applying an external current, the orientation of the vortices is reversed, and a voltage pulse is generated. The current needed for this transition and generated pulse energy are calculated. Macroscopic quantum tunneling (MQT) in this transition is also studied. The tunneling rate has been evaluated by an effective Hamiltonian with one degree of freedom.

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