Instability in the current-biased 0-π Josephson junction

Kuklov, Anatoly; Boyko, V. S.; Malinsky, Joseph

doi:10.1103/physrevb.51.11965

Cited by 20 publications

(25 citation statements)

References 9 publications

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“…The dependences of a (2) c , a Our calculations of a c agree with previous numerical and analytical results 11,19,20 , but cover also the cases of larger N , arbitrary edge facets length b and have much higher accuracy. We also show that in many cases the size of the edge facets b can drastically affect the state of the whole system, especially when b ≈ a/2 or b → 0 and N = 2, as can be seen from Fig.…”

Section: Discussionsupporting

confidence: 77%

“…One can check that the values in this table are in accordance with those obtained earlier by direct numerical simulation 19 for β = 1/2, 1. The result for N = 2 and β = ∞ coincides with the one calculated earlier analytically 11,20 . We stress here that our present results are obtained for arbitrary edge facet length b (arbitrary β) and have much higher accuracy (can be calculated much faster).…”

Section: A Stability Of Flat Phase Statesupporting

confidence: 75%

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Analysis of ground states of0−πlong Josephson junctions

Zenchuk

Goldobin

2004

Phys. Rev. B

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We investigate analytically a long Josephson 0-π-junction with several 0 and π facets which are comparable to the Josephson penetration length λJ . Such junctions can be fabricated exploiting (a) the d-wave order parameter symmetry of cuprate superconductors; (b) the spacial oscillations of the order parameter in superconductor-insulator-ferromagnet-superconductor structures with different thicknesses of ferromagnetic layer to produce 0 or π coupling or (c) the structure of the corresponding sine-Gordon equations and substituting the phase π-discontinuities by the artificial current injectors. We investigate analytically the possible ground states in such a system and show that there is a critical facet length ac, which separates the states with half-integer flux quanta (semifluxons) from the trivial "flat phase state" without magnetic flux. We analyze different branches of the bifurcation diagram, derive a system of transcendental equations which can be effectively solved to find the crossover distance ac (bifurcation point) and present the solutions for different number of facets and the edge facets length. We show that the edge facets may drastically affect the state of the system.

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Section: Discussionsupporting

confidence: 77%

Section: A Stability Of Flat Phase Statesupporting

confidence: 75%

Analysis of ground states of0−πlong Josephson junctions

Zenchuk

Goldobin

2004

Phys. Rev. B

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“…Fractional vortices spontaneously appear to compensate the -phase jump and are pinned at the discontinuity points. 20 For a discontinuity the vortex carries the fractional flux ⌽ 0 / 2 and the junction can be described by the same model as the junction with alternating sign of critical current 8,11,[21][22][23][24] mentioned above.…”

Section: Introductionmentioning

confidence: 99%

Controllable plasma energy bands in a one-dimensional crystal of fractional Josephson vortices

et al. 2005

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We consider a one-dimensional chain of fractional vortices in a long Josephson junction with alternating ± phase discontinuities. Since each vortex has its own eigenfrequency, the intervortex coupling results in eigenmode splitting and in the formation of an oscillatory energy band for plasma waves. The band structure can be controlled at the design time by choosing the distance between vortices or during experiment by varying the topological charge of vortices or the bias current. Thus one can construct an artificial vortex crystal with controllable energy bands for plasmons.

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“…[8][9][10] It was shown that at the boundary between a 0 and a part a new type of vortex carrying only half of the flux quantum may exist. [11][12][13] Such vortices ͑naturally called semifluxons 14 ͒ were observed experimentally in several types of 0-LJJs. [15][16][17][18] They may appear spontaneously and correspond to the ground state of the system.…”

Section: Introductionmentioning

confidence: 99%

Oscillatory eigenmodes and stability of one and two arbitrary fractional vortices in long Josephson0−κjunctions

et al. 2005

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We investigate theoretically the eigenmodes and the stability of one and two arbitrary fractional vortices pinned at one and two phase discontinuities in a long Josephson junction. In the particular case of a single discontinuity, a vortex is spontaneously created and pinned at the boundary between the 0 and regions. In this work we show that only two of four possible vortices are stable. A single vortex has an oscillatory eigenmode with a frequency within the plasma gap. We calculate this eigenfrequency as a function of the fractional flux carried by a vortex. For the case of two vortices, pinned at two discontinuities situated at some distance a from each other, splitting of the eigenfrequencies occurs. We calculate this splitting numerically as a function of a for different possible ground states. We also discuss the presence of a critical distance below which two antiferromagnetically ordered vortices form a strongly coupled "vortex molecule" that behaves as a single object and has only one eigenmode.

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Instability in the current-biased 0-π Josephson junction

Cited by 20 publications

References 9 publications

Analysis of ground states of0−πlong Josephson junctions

Analysis of ground states of0−πlong Josephson junctions

Controllable plasma energy bands in a one-dimensional crystal of fractional Josephson vortices

Oscillatory eigenmodes and stability of one and two arbitrary fractional vortices in long Josephson0−κjunctions

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