Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ0/2-flux case

H. Susanto; Stephanus A. van Gils; A. Doelman; G. Derks

doi:10.1103/PhysRevB.69.212503

Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ₀/2-flux case

H. Susanto, Stephanus A. van Gils, A. Doelman, G. Derks

Research output: Contribution to journal › Article › Academic › peer-review

3 Citations (Scopus)

11 Downloads (Pure)

Abstract

We consider Josephson vortices at tricrystal boundaries. We discuss the specific case of a tricrystal boundary with a $\pi$ junction as one of the three arms. It is recently shown that the static system admits an $(n+ 1/2)\phi_0$ flux, $n=0,1,2$ [Phys. Rev. B 61, 9122 (2000)]. Here we present an analysis to calculate the linear stability of the admitted states. In particular, we calculate the stability of a $3\phi_0$/2 flux. This state is of interest, since energetically this state is preferable for some combinations of Josephson lengths, but we show that in general it is linearly unstable. Finally, we propose a system that can have a stable $(n+ 1/2)\phi_0$ state.

Original language	Undefined
Article number	10.1103/PhysRevB.69.212503
Pages (from-to)	212503
Number of pages	4
Journal	Physical Review B (Condensed Matter and Materials Physics)
Volume	69
Issue number	21
DOIs	https://doi.org/10.1103/PhysRevB.69.212503
Publication status	Published - 2004

Keywords

Mathematical analysis
EWI-13975
METIS-218128
IR-68242

Cite this

Susanto, H., van Gils, S. A., Doelman, A., & Derks, G. (2004). Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ₀/2-flux case. Physical Review B (Condensed Matter and Materials Physics), 69(21), 212503. [10.1103/PhysRevB.69.212503]. https://doi.org/10.1103/PhysRevB.69.212503

Susanto, H. ; van Gils, Stephanus A. ; Doelman, A. ; Derks, G. / Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ₀/2-flux case. In: Physical Review B (Condensed Matter and Materials Physics). 2004 ; Vol. 69, No. 21. pp. 212503.

@article{3251e086520c4a8cb7b61b3d21fe67b3,

title = "Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ0/2-flux case",

abstract = "We consider Josephson vortices at tricrystal boundaries. We discuss the specific case of a tricrystal boundary with a $\pi$ junction as one of the three arms. It is recently shown that the static system admits an $(n+ 1/2)\phi_0$ flux, $n=0,1,2$ [Phys. Rev. B 61, 9122 (2000)]. Here we present an analysis to calculate the linear stability of the admitted states. In particular, we calculate the stability of a $3\phi_0$/2 flux. This state is of interest, since energetically this state is preferable for some combinations of Josephson lengths, but we show that in general it is linearly unstable. Finally, we propose a system that can have a stable $(n+ 1/2)\phi_0$ state.",

keywords = "Mathematical analysis, EWI-13975, METIS-218128, IR-68242",

author = "H. Susanto and {van Gils}, {Stephanus A.} and A. Doelman and G. Derks",

year = "2004",

doi = "10.1103/PhysRevB.69.212503",

language = "Undefined",

volume = "69",

pages = "212503",

journal = "Physical review B: Covering condensed matter and materials physics",

issn = "2469-9950",

publisher = "American Institute of Physics",

number = "21",

}

Susanto, H, van Gils, SA, Doelman, A & Derks, G 2004, 'Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ₀/2-flux case', Physical Review B (Condensed Matter and Materials Physics), vol. 69, no. 21, 10.1103/PhysRevB.69.212503, pp. 212503. https://doi.org/10.1103/PhysRevB.69.212503

Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ₀/2-flux case. / Susanto, H.; van Gils, Stephanus A.; Doelman, A.; Derks, G.

In: Physical Review B (Condensed Matter and Materials Physics), Vol. 69, No. 21, 10.1103/PhysRevB.69.212503, 2004, p. 212503.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ0/2-flux case

AU - Susanto, H.

AU - van Gils, Stephanus A.

AU - Doelman, A.

AU - Derks, G.

PY - 2004

Y1 - 2004

N2 - We consider Josephson vortices at tricrystal boundaries. We discuss the specific case of a tricrystal boundary with a $\pi$ junction as one of the three arms. It is recently shown that the static system admits an $(n+ 1/2)\phi_0$ flux, $n=0,1,2$ [Phys. Rev. B 61, 9122 (2000)]. Here we present an analysis to calculate the linear stability of the admitted states. In particular, we calculate the stability of a $3\phi_0$/2 flux. This state is of interest, since energetically this state is preferable for some combinations of Josephson lengths, but we show that in general it is linearly unstable. Finally, we propose a system that can have a stable $(n+ 1/2)\phi_0$ state.

AB - We consider Josephson vortices at tricrystal boundaries. We discuss the specific case of a tricrystal boundary with a $\pi$ junction as one of the three arms. It is recently shown that the static system admits an $(n+ 1/2)\phi_0$ flux, $n=0,1,2$ [Phys. Rev. B 61, 9122 (2000)]. Here we present an analysis to calculate the linear stability of the admitted states. In particular, we calculate the stability of a $3\phi_0$/2 flux. This state is of interest, since energetically this state is preferable for some combinations of Josephson lengths, but we show that in general it is linearly unstable. Finally, we propose a system that can have a stable $(n+ 1/2)\phi_0$ state.

KW - Mathematical analysis

KW - EWI-13975

KW - METIS-218128

KW - IR-68242

U2 - 10.1103/PhysRevB.69.212503

DO - 10.1103/PhysRevB.69.212503

M3 - Article

VL - 69

SP - 212503

JO - Physical review B: Covering condensed matter and materials physics

JF - Physical review B: Covering condensed matter and materials physics

SN - 2469-9950