Experimental Investigation of Trapped Sine-Gordon Solitons

Davidson, A.; Dueholm, B.; Kryger, B.; Pedersen, Niels Falsig

doi:10.1103/physrevlett.55.2059

Cited by 131 publications

(91 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…9 The ring-shaped junctions, depicted in Fig. 1, had a mean radius r Х80 m, width ⌬rϭ4 m and a geometry very close to the so-called Lyngby geometry 3 in which both the base and top electrode have a hole concentric to the ring. The idle region surrounding the barrier had a width approximately equal to the junction width on both sides; further, as shown in Fig.…”

Section: The Samples and The Setupmentioning

confidence: 99%

See 1 more Smart Citation

Fluxon dynamics in long annular Josephson tunnel junctions

et al. 1998

View full text Add to dashboard Cite

Single-fluxon dynamics has been experimentally investigated in high-quality Nb/Al-AlO x /Nb annular Josephson tunnel junctions having a radius much larger than the Josephson penetration depth. Strong evidence of self-field effects is observed. An external magnetic field in the barrier plane acts on the fluxon as a periodic potential and lowers its average speed. Further, the results of perturbative calculations do not fit the experimental current-voltage profile and, provided the temperature is low enough, this profile systematically shows pronounced deviations from the smooth predicted form. The deviations take the form of fine, hysteretic, almost equally spaced structures. ͓S0163-1829͑98͒04406-3͔

show abstract

Section: The Samples and The Setupmentioning

confidence: 99%

“…Annular Josephson tunnel junctions have been used to test the perturbation model since 1985. 3 Further, Eq. ͑1͒ enables the determination of the temperature dependence of the loss parameters measuring the ZFS1 profile at different temperatures.…”

Section: Introductionmentioning

confidence: 99%

Fluxon dynamics in long annular Josephson tunnel junctions

et al. 1998

View full text Add to dashboard Cite

show abstract

“…Eq. (2) states that the different sections of the annulus feel different fields; diametrically opposed points feel opposite fields and the field term in Eq. (2) is out of phase with respect to the actual normal field.…”

Section: A Psge For An Elliptic Annulusmentioning

confidence: 99%

“…antifluxon pairs can be nucleated. Later on, many researchers found the circular geometry ideal for experimental tests of the perturbation models developed to take into account the dissipative effects in the sine-Gordon analysis [2][3][4] . Circular annular JTJs, consisting of two superconducting rings coupled by a thin dielectric layer were also recognized to be the ideal device to investigate both the statics and the dynamics of sine-Gordon solitons in the presence of a periodic potential [5][6][7][8] .…”

mentioning

confidence: 99%

Fluxon Dynamics in Elliptic Annular Josephson Junctions

Monaco

Mygind

2016

J Low Temp Phys

View full text Add to dashboard Cite

We analyze the dynamics of a magnetic flux quantum (current vortex) trapped in a current-biased long planar elliptic annular Josephson tunnel junction. The system is modeled by a perturbed sine-Gordon equation that determines the spatial and temporal behavior of the phase difference across the tunnel barrier separating the two superconducting electrodes. In the absence of an external magnetic field the fluxon dynamics in an elliptic annulus does not differ from that of a circular annulus where the stationary fluxon speed merely is determined by the system losses. The interaction between the vortex magnetic moment and a spatially homogeneous inplane magnetic field gives rise to a tunable periodic non-sinusoidal potential which is strongly dependent on the annulus aspect ratio. We study the escape of the vortex from a well in the tilted potential when the bias current exceeds the depinning current. The smallest depinning current as well as the lowest sensitivity of the annulus to the external field is achieved when the eccentricity is equal to −1. The presented extensive numerical results are in good agreement with the findings of the perturbative approach. We also probe the rectifying properties of an asymmetric potential implemented with an egg-shaped annulus formed by two semi-elliptic arcs.

show abstract

“…The sineGordon soliton is a low-dimensional analog of the Skyrmion which is associated with baryons [69]. In solid state physics, this model appears in diverse fields such as Josephson junctions and its associated magnetism and topological excitations [70][71][72][73]. Sine-Gordon type models are also used in order to understand the vortex dynamics in superconducting systems [74].…”

Section: Introductionmentioning

confidence: 99%

An investigation of the Casimir energy for a fermion coupled to the sine-Gordon soliton with parity decomposition

2014

View full text Add to dashboard Cite

We consider a fermion chirally coupled to a prescribed pseudoscalar field in the form of the soliton of the sine-Gordon model and calculate and investigate the Casimir energy and all of the relevant quantities, i.e. the spectrum of the states and the phase shifts, for each parity channel, separately. We present and use a simple prescription to construct the simultaneous eigenstates of the Hamiltonian and parity in the continua from the scattering states. We also use a prescription we had introduced earlier to calculate unique expressions for the phase shifts and check their consistency with both the weak and the strong forms of the Levinson theorem. In the graphs of the total and parity decomposed Casimir energies as a function of the parameters of the pseudoscalar field distinctive deformations appear whenever a fermionic bound state energy level with definite parity crosses the line of zero energy. However, the latter graphs show considerable sensitivity to the fine details of the shape of the background field which cannot be seen from the graph of the total Casimir energy. Finally, we consider a system consisting of a valence fermion in the ground state and find that the most energetically favorable configuration is the one with a soliton of winding number one, and this conclusion does not hold for each parity, separately.

show abstract

Experimental Investigation of Trapped Sine-Gordon Solitons

Cited by 131 publications

References 6 publications

Fluxon dynamics in long annular Josephson tunnel junctions

Fluxon dynamics in long annular Josephson tunnel junctions

Fluxon Dynamics in Elliptic Annular Josephson Junctions

An investigation of the Casimir energy for a fermion coupled to the sine-Gordon soliton with parity decomposition

Contact Info

Product

Resources

About