Nonlinear features of the superconductor–ferromagnet–superconductor φ₀ Josephson junction in the ferromagnetic resonance region

• Aliasghar Janalizadeh,
• Ilhom R. Rahmonov,
• Sara A. Abdelmoneim,
• Yury M. Shukrinov and
• Mohammad R. Kolahchi

Beilstein J. Nanotechnol. 2022, 13, 1155–1166, doi:10.3762/bjnano.13.97

• of equations, which consists of the Landau–Lifshitz–Gilbert (LLG) model, the resistively capacitively shunted junction (RCSJ) model expression with the current–phase relation (Is) described above, and the Josephson relation between phase difference and voltage. The dynamics of the magnetic moment M

• full dynamics of the φ0 junction the LLG equations should be supplemented by the equation for the phase difference φ, that is, the equations of the RCSJ model for bias current and the Josephson relation for voltage. According to the extended RCSJ model, which takes into account derivative of φ0 phase

• shift, the current flowing through the system in underdamped case is determined by where I is the bias current and C and R are capacitance and resistance of the Josephson junction, respectively. The Josephson relation for the voltage is given by We note that, in the framework of the RCSJ model, the

Approaching microwave photon sensitivity with Al Josephson junctions

• Andrey L. Pankratov,
• Anna V. Gordeeva,
• Leonid S. Revin,
• Dmitry A. Ladeynov,
• Anton A. Yablokov and
• Leonid S. Kuzmin

Beilstein J. Nanotechnol. 2022, 13, 582–589, doi:10.3762/bjnano.13.50

• ) model with additive noise [29]. It is important to use the RCSJ model in the temperature range in which it is valid, that is, above the crossover temperature in the quantum regime. The lifetime (dark count time) measurements are organized as follows. The current through the junction is quasi

• numerically solve the Langevin equation with noise source [39][40] in the frame of the RCSJ model, which has been proven for classical JJs in the thermal regime [29]. Its applicability is also confirmed for our case by a good overlap with the experimental data. It is seen from Figure 4 that the experimental

• achieve in real junctions. In our opinion, the most reliable way to determine the critical current is to compare the experimental lifetime as a function of the current with the lifetime calculated using numerical simulations [39][40][41] in the frame of the resistively–capacitively shunted junction (RCSJ

A broadband detector based on series YBCO grain boundary Josephson junctions

• Egor I. Glushkov,
• Alexander V. Chiginev,
• Leonid S. Kuzmin and
• Leonid S. Revin

Beilstein J. Nanotechnol. 2022, 13, 325–333, doi:10.3762/bjnano.13.27

• ; electromagnetic modeling; log-periodic antenna; RCSJ model; series Josephson junctions; YBaCuO Josephson junction; Introduction High-temperature superconducting (HTSC) Josephson junctions (JJs) have great potential as promising materials for creating high-frequency devices, such as microwave generators [1][2

Nonmonotonous temperature dependence of Shapiro steps in YBCO grain boundary junctions

• Leonid S. Revin,
• Dmitriy V. Masterov,
• Alexey E. Parafin,
• Sergey A. Pavlov and
• Andrey L. Pankratov

Beilstein J. Nanotechnol. 2021, 12, 1279–1285, doi:10.3762/bjnano.12.95

• by the resistively–capacitively shunted-junction (RCSJ) model [25][26], especially for measurements obtained at high temperatures. However, taking into account the effect of the YBCO junction resistance thermal noise [16] makes it possible to neutralize this difference and obtain a good agreement

• -probe technique. In the RCSJ model to which we compare our experimental results, the junction phase ϕ with an ideal critical current Ic, a resistance RN and a capacitance C are described by the stochastic differential equation [32][33] where the voltage V = dϕ/dt × 2π/Φ0 (Φ0 is the magnetic flux quantum

• for a voltage-biased JJ, it is in a good agreement with measurements for the current-biased regime and RCSJ model [35]. In the case of low signal power and ωmw ≪ ωc, the maximum height of the first step is proportional to In the limit of ωmw ≈ ωc, the expression for ΔI1 takes the simple form: Figure 4

Microwave photon detection by an Al Josephson junction

• Leonid S. Revin,
• Andrey L. Pankratov,
• Anna V. Gordeeva,
• Anton A. Yablokov,
• Igor V. Rakut,
• Victor O. Zbrozhek and
• Leonid S. Kuzmin

Beilstein J. Nanotechnol. 2020, 11, 960–965, doi:10.3762/bjnano.11.80

• washboard potential in the framework of the resistively and capacitively shunted junction (RCSJ) model for the dynamics of the Josephson phase [29][30]. The tilt of the washboard potential is controlled by the bias current I and is defined as EJ(I/IC), where IC is the critical current and EJ = ℏIC/2e. The