Nonlinear impedance of a microwave-driven Josephson junction with noise
W. T. Coffey, J. L. Déjardin, Yu. P. Kalmykov
DOI 10.1103/PhysRevB.62.3480 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
The nonlinear impedance of a point Josephson junction is calculated under various conditions for the resistively shunted junction model in the presence of noise. The calculation proceeds by solving the Langevin equation for the mechanical problem of a Brownian particle in a tilted cosine potential in the presence of a strong ac force ignoring inertial effects. The exact solution of the infinite hierarchy of equations for the moments (expectation values of the Fourier components of the phase angle), which describe the dynamics of the junction, is expressed in terms of a matrix continued fraction. This solution allows one to evaluate the nonlinear response of the junction (nonlinear microwave impedance, for example) to an ac microwave current of arbitrary amplitude. Strong nonlinear effects in the resistance and the reactance are observed for large ac currents as is demonstrated by plotting the nonlinear response characteristics as a function of the model parameters. For weak ac currents and low noise strengths, our results agree closely with previously available linear response and nonlinear response noiseless solutions, respectively. Applications of the model to the interpretation of recent experimental data found in the literature for the nonlinear behavior of microwave impedance of superconducting weak links are discussed.
Similar papers
Non-linear microwave impedance of short and long Josephson Junctions
similarity 0.88Z. Zhai et al. · 1998 · arXiv:cond-mat/9810352
Source status unknown — claims are unverified
Noise in resistively shunted Josephson junctions
similarity 0.87Fernando T Brandt et al. · 2010 · arXiv:1006.4312
Source status unknown — claims are unverified
Dynamics of Josephson junctions beyond the tunneling limit
similarity 0.87Jacob F. Steiner et al. · 2025 · arXiv:2511.03811
Source status unknown — claims are unverified
Microwave-induced flow of vortices in long Josephson junctions
similarity 0.85F. L. Barkov et al. · 2004 · arXiv:cond-mat/0407290
Source status unknown — claims are unverified
Tuning of phase diffusion in small Josephson junctions by magnetic field
similarity 0.85Y. Koval et al.
Source status unknown — claims are unverified
Josephson current through a superconductor/semiconductor-nanowire/superconductor junction: Effects of strong spin-orbit coupling and Zeeman splitting
similarity 0.85Meng Cheng & Roman M. Lutchyn
Source status unknown — claims are unverified