Anomalous transport effects on switching currents of graphene-based Josephson junctions

Abstract

We explore the effect of noise on the ballistic graphene-based small Josephson junctions in the framework of the resistively and capacitively shunted model. We use the non-sinusoidal current-phase relation specific for graphene layers partially covered by superconducting electrodes. The noise induced escapes from the metastable states, when the external bias current is ramped, give the switching current distribution, i.e. the probability distribution of the passages to finite voltage from the superconducting state as a function of the bias current, that is the information more promptly available in the experiments. We consider a noise source that is a mixture of two different types of processes: a Gaussian contribution to simulate an uncorrelated ordinary thermal bath, and non-Gaussian, $\alpha$-stable (or Lévy) term, generally associated to non-equilibrium transport phenomena. We find that the analysis of the switching current distribution makes it possible to efficiently detect a non-Gaussian noise component in a Gaussian background.

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Cited by in corpus (25)

• Geometry of quantum phase transitions
• Josephson-based threshold detector for Lévy distributed fluctuations
• First-passage and first-hitting times of Levy flights and Levy walks
• Voltage drop across Josephson junctions for Lévy noise detection
• Lévy noise effects on Josephson junctions
• Analysis of Josephson junctions switching time distributions for the detection of single microwave photons
• Leveraging large-deviation statistics to decipher the stochastic properties of measured trajectories
• Josephson junction-based axion detection through resonant activation
• Extracting Governing Laws from Sample Path Data of Non-Gaussian Stochastic Dynamical Systems
• Breather dynamics in a stochastic sine-Gordon equation: evidence of noise-enhanced stability
• Supratransmission-induced travelling breathers in long Josephson junctions
• rf-SQUID measurements of anomalous Josephson effect
• Detection of signals in presence of noise through Josephson junction switching currents
• Locking of magnetization and Josephson oscillations at ferromagnetic resonance in ${\phi }_0$ junction under external radiation
• Dirac wave transmission in Lévy disordered systems
• Signatures of Majorana bound states and parity effects in two-dimensional chiral p-wave Josephson junctions
• Lévy noise induced transitions and enhanced stability in a birhythmic van der Pol system
• Can Lèvy noise induce coherence and stochastic resonances in a birhythmic van der Pol system?
• Lévy on-off intermittency
• Thermal flux-flow regime in long Josephson tunnel junctions
• Wave transmission and its universal fluctuations in one-dimensional systems with Lévy-like disorder: Schrödinger, Klein-Gordon and Dirac equations
• Josephson-based scheme for the detection of microwave photons
• Noise-Assisted Metastability: From Lévy Flights to Memristors, Quantum Escape, and Josephson-based Axion Searches
• Parallel Simulation of Josephson Junctions With Multiplicative Noise
• Steady state of overdamped particles in the non-conservative force field of a simple non-linear model of optical trap