Stability of dynamic coherent states in intrinsic Josephson-junction stacks near internal cavity resonance

Abstract

Stacks of intrinsic Josephson junctions in the resistive state can by efficiently synchronized by the internal cavity mode resonantly excited by the Josephson oscillations. We study the stability of dynamic coherent states near the resonance with respect to small perturbations. Three states are considered: the homogeneous and alternating-kink states in zero magnetic field and the homogeneous state in the magnetic field near the value corresponding to half flux quantum per junction. We found two possible instabilities related to the short-scale and long-scale perturbations. The homogeneous state in modulated junction is typically unstable with respect to the short-scale alternating phase deformations unless the Josephson current is completely suppressed in one half of the stack. The kink state is stable with respect to such deformations and homogeneous state in the magnetic field is only stable within a certain range of frequencies and fields. Stability with respect to the long-range deformations is controlled by resonance excitations of fast modes at finite wave vectors and typically leads to unstable range of the wave-vectors. This range shrinks with approaching the resonance and increasing the in-plane dissipation. As a consequence, in finite-height stacks the stability frequency range near the resonance increases with decreasing the height.

arXiv comment15 pages, 8 figures, to appear in Phys. Rev. B

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Cited by in corpus (15)

• Broadly Tunable Sub-terahertz Emission from Internal Branches of the Current-voltage Characteristics of Superconducting Bi2Sr2CaCu2O8+d Single Crystals
• Unusual linewidth dependence of coherent THz emission measured from intrinsic Josephson junction stacks in the hot-spot regime
• Hot-spot formation in stacks of intrinsic Josephson junctions in Bi2Sr2CaCu2O8
• Thermal and electromagnetic properties of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$ intrinsic Josephson junction stacks studied via one-dimensional coupled sine-Gordon equations
• In-plane dissipation as a possible synchronization mechanism for terahertz radiation from intrinsic Josephson junctions of layered superconductors
• 3D simulations of the electrothermal and THz emission properties of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$ intrinsic Josephson junction stacks
• Synchronization of One Dimensional Array of Point Josephson Junctions Coupled to a Common Load
• Manifestation of Resonance-Related Chaos in Coupled Josephson Junctions
• Synchronization of Josephson oscillations in mesa array of BSCCO single crystal through the Josephson plasma waves in base crystal
• Mutual synchronization of two stacks of intrinsic Josephson junctions in cuprate superconductors
• Variation of Longitudinal Plasma Wavelength under Irradiation and Double Resonance in Coupled Josephson Junctions
• Linewidth of the electromagnetic radiation from Josephson junctions near cavity resonances
• Terahertz emission from mutually synchronized standalone Bi2Sr2CaCu2O8+x intrinsic-Josephson-junction stacks
• Stationary Charge Imbalance Effect in System of Coupled Josephson Junction
• Numerical study of fluxon solutions of sine-Gordon equation under the influence of the boundary conditions