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|Title: ||Dynamics of resistive state in thin superconducting channels|
|Authors: ||Baranov, V.V.|
Balanov, Alexander G.
|Issue Date: ||2013|
|Publisher: ||© The American Physical Society|
|Citation: ||BARANOV, V.V., BALANOV, A.G. and KABANOV, V.V., 2013. Dynamics of resistive state in thin superconducting channels. Physical Review B, 87 (17), 174516.|
|Abstract: ||We study theoretically how the dynamics of the resistive state in narrow superconducting channels shunted by an external resistor depends on channel's length L, the applied current j, and parameter u characterizing the penetration depth of the electric field in nonequilibrium superconductors. We show that changing u dramatically affects both the behavior of the current-voltage characteristics of the superconducting channels and the dynamics of their order parameter. Previously, it was demonstrated that when u is less than the critical value uc1, which does not depend on L, the phase slip centers appear simultaneously at different spots of the channel. Herewith, for u>uc1 these centers arise consecutively at the same place. In our work we demonstrate that there is another critical value for u. Actually, if u does not exceed a certain value uc2, which depends on L, the current-voltage characteristic exhibits the step-like behavior. However, for u>uc2 it becomes hysteretic. In this case, with increase of j the steady state, which corresponds to the time-independent distribution of the order parameter along the channel, losses its stability at switching current value jsw, and time-periodic oscillations of both the order parameter and electric field occur in the channel. As j sweeps down, the periodic dynamics ceases at certain retrapping current value jr<jsw. Shunting the channel by a resistor increases the value of jr, while jsw remains unchanged. Thus, for some high-enough conductivity of the shunt, jr and jsw eventually coincide, and the hysteretic loop disappears. We reveal dynamical regimes involved in the hysteresis and discuss the bifurcation transitions between them.|
|Description: ||This article was published in the journal Physical Review B [© The American Physical Society]. It is also available at: http://dx.doi.org/10.1103/PhysRevB.87.174516|
|Publisher Link: ||http://dx.doi.org/10.1103/PhysRevB.87.174516|
|Appears in Collections:||Published Articles (Physics)|
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