Abstract:We study the nonlinear response of current transport in a superconducting diffusive nanowire between normal reservoirs. We demonstrate theoretically and experimentally the existence of two different superconducting states appearing when the wire is driven out of equilibrium by an applied bias, called the global and bimodal superconducting states. The different states are identified by using two-probe measurements of the wire, and measurements of the local density of states with tunneling probes. The analysis i… Show more
“…The approach to this point is not observable in the I, V curves because as long as the material stays superconducting, i.e., carries a supercurrent, it does not contribute to the voltage. However, in the model of Keizer et al 6 and Vercruyssen et al 7 it is assumed that the length of the superconducting wire is short compared to the electronelectron interaction time s ee , leading to the parameter range n < L < K ee . Consequently, a position-dependent non-thermal 2-step distribution function occurs as for normal metal wires studied by Pothier et al 12 For NbN, this assumption is not justified because the electron-electron interaction time s ee is estimated to be 2:5 ps (see Annunziata 13 ) or 6:5 ps (see Il'in et al…”
Nonequilibrium interpretation of DC properties of NbN superconducting hot electron bolometersShcherbatenko, M.; Tretyakov, I.; Lobanov, Yu; Maslennikov, S. N.; Kaurova, N.; Finkel, Matvey; Voronov, B.; Goltsman, G.; Klapwijk, Teun
“…The approach to this point is not observable in the I, V curves because as long as the material stays superconducting, i.e., carries a supercurrent, it does not contribute to the voltage. However, in the model of Keizer et al 6 and Vercruyssen et al 7 it is assumed that the length of the superconducting wire is short compared to the electronelectron interaction time s ee , leading to the parameter range n < L < K ee . Consequently, a position-dependent non-thermal 2-step distribution function occurs as for normal metal wires studied by Pothier et al 12 For NbN, this assumption is not justified because the electron-electron interaction time s ee is estimated to be 2:5 ps (see Annunziata 13 ) or 6:5 ps (see Il'in et al…”
Nonequilibrium interpretation of DC properties of NbN superconducting hot electron bolometersShcherbatenko, M.; Tretyakov, I.; Lobanov, Yu; Maslennikov, S. N.; Kaurova, N.; Finkel, Matvey; Voronov, B.; Goltsman, G.; Klapwijk, Teun
“…Hence, one can easily be in the regime L << ξ, Λ ee , like in the case of hot-electron bolometers studied by Prober 21 (Prober, 1993) and Siddiqi et al (Siddiqi et al, 2002). One can also perform experiments in the regime ξ < L < Λ ee (Boogaard et al, 2004;Keizer et al, 2006;Vercruyssen et al, 2012). For niobium one has usually an intermediate regime with ξ of about 40 nm and Λ ee of 100 nm (Gershenzon et al, 1990), which was studied by Burke et al (Burke et al, 1999(Burke et al, , 1996.…”
Section: Distributed Superconducting Order Parameter Model: If Banmentioning
confidence: 99%
“…Due to the small supercurrent, the voltage profile is almost equal to the normal state. (Reproduced with permission from the authors (Vercruyssen et al, 2012)) lowed by experimental work (Vercruyssen et al, 2012).…”
Section: Charge Conversion Resistance At Normal-metal-superconductmentioning
Superconducting hot-electron bolometers are presently the best performing mixing devices for the frequency range beyond 1.2 THz, where good quality superconductor-insulator-superconductor (SIS) devices do not exist. Their physical appearance is very simple: an antenna consisting of a normal metal, sometimes a normal metal-superconductor bilayer, connected to a thin film of a narrow, short superconductor with a high resistivity in the normal state. The device is brought into an optimal operating regime by applying a dc current and a certain amount of localoscillator power. Despite this technological simplicity its operation has found to be controlled by many different aspects of superconductivity, all occurring simultaneously. A core ingredient is the understanding that there are two sources of resistance in a superconductor: a charge conversion resistance occurring at an normal-metal-superconductor interface and a resistance due to timedependent changes of the superconducting phase. The latter is responsible for the actual mixing process in a non-uniform superconducting environment set up by the bias-conditions and the geometry. The present understanding indicates that further improvement needs to be found in the use of other materials with a faster energy-relaxation rate. Meanwhile several empirical parameters have become physically meaningful indicators of the devices, which will facilitate the technological developments.
“…Equations (1) and (2) are depicting a phonon cooled device, because cooling by the electron diffusion to the metal contacts can be neglected in YBCO [9], as opposed to Nb HEBs [17] or superconducting metallic nanowires [18], [19]. τ ep is the electron-phonon relaxation time in YBCO and τ esc the phonon escape time from YBCO film to the substrate.…”
Section: A Electron and Phonon Heat Equationsmentioning
International audienceTo investigate the THz mixing performance of YBCO hot electron bolometers (HEB), the influence of the local oscillator (LO) radiofrequency (RF) radiation has been considered in detail. As opposed to the usual hot spot modeling approach, where the LO power is assumed to be uniformly distributed over the HEB constriction length, a uniform RF current has been assumed. The local electron temperature – as obtained by solving the coupled electron and phonon thermal reservoir equations – could then be used to determine the local YBCO complex resistivity, hence the locally dissipated LO power. Besides, the use of a modified two-fluid description allowed to determine the RF-dependent temperature shift (∼ −1% THz−1) and broadening (∼ +20% THz−1) of the resistive transition. Finally, the impedance matching to the THz antenna was considered. For a typical constriction, the conversion loss and noise temperature TDSB were computed, with TDSB ∝ exp(0.32f) behavior up to 2.5 THz
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