Fig. 5: Supercurrent power spectrum.
From: Effect of dilute impurities on short graphene Josephson junctions
Panels (a) and (b) show \({{{{{\mathcal{S}}}}}}(\omega )\), in units of \(e{I}_{{{{{{\rm{c}}}}}}}^{* }\) at ϕ = ϕ*, as a function of frequency ω, and the Fermi energy is set at μ0 = 0 and μ0 = 5ħvD/L, respectively. In both panels a and b, one has T = 10−2Δ0/kB, \({n}_{{{{{{\rm{imp}}}}}}}{t}_{0}^{2}/{{{\Delta }}}_{0}^{2}=0.1\), γ = 0+ (black lines) γ = 10−2Δ0 (yellow lines), γ = 10−1Δ0 (red lines), γ = Δ0 (green lines), γ = 10Δ0 (blue lines), and γ = ∞ (cyan lines). The shaded region is the frequency domain where the supercurrent power spectrum is non-zero in a clean GJJ. Panels c and d show the static supercurrent power spectrum \({{{{{\mathcal{S}}}}}}(0)\), in units of \(e{I}_{{{{{{\rm{c}}}}}}}^{* }\) at ϕ = ϕ*, as a function of temperature, in a log-log scale, and the Fermi energy is set at μ0 = 0 and μ0 = 5ħvD/L, respectively. In both panels c and d, one has γ = 10−2Δ0 (yellow circles), γ = 10−1Δ0 (red circles), γ = Δ0 (green circles), γ = 10Δ0 (blue circles), each colored solid line represents the corresponding low-temperature linear behavior by Eq. (30). The temperature dependence of the order parameter Δ0 is neglected, and the impurity density is set at \({n}_{{{{{{\rm{imp}}}}}}}{t}_{0}^{2}/{{{\Delta }}}_{0}^{2}=0.1\).
