Theoretical analysis shows negative conductance impacts synchronization and dynamics in junctions, suggesting new applications.
This paper presents a theoretical and numerical investigation of the RCLSJ model (Resistively, Capacitively, and Inductively Shunted Junction), which is described by a nonlinear current source characterized by the current-phase relationship I_O (sin∅-α_1 sin2∅+α_2 sin3∅), coupled with a negative conductance. The rate equations governing the RCLSJ model reveal that, depending on the parameter regions, the system may either lack fixed points entirely or possess two or four fixed points. These regions are determined by the intensity of the negative conductance and the second-order harmonic term, under the assumption of a normalized critical current. Our analysis demonstrates that the presence of negative conductance suppresses certain hidden dynamical orders associated with periodic instabilities. Furthermore, the introduction of the third-order harmonic term significantly alters the nonlinear dynamics of the RCLSJ system. In addition, master-slave synchronization studies indicate that the third-order harmonic modifies synchronization frequencies by generating new resonance modes. For specific threshold values of α2, it enhances synchronization, while variations in the intensity of the negative conductance lead to higher-frequency oscillations. These different influences induced by the negative conductance and the third-order harmonic term of the junction suggest that the system could be used in the superconducting circuits for qubits, synchronized oscillators for the generation of THz signals, and also in computational neuroscience.
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Pomalegni et al. (2025) studied this question.
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