Ovchinnikov, Y. N., & Varlamov, A. A. (2009). Fluctuation-dissipative phenomena in a narrow superconducting channel carrying current below critical. arXiv, 0910.2659v1, 1–4.
Abstract: The theory of current transport in a narrow superconducting channel accounting for thermal fluctuations is developed. These fluctuations result in the appearance of small but finite dissipation in the sample. The value of corresponding voltage is found as the function of temperature (close to transition temperature) and arbitrary bias current. It is demonstrated that the value of the activation energy (exponential factor in the Arrenius law) when current approaches to the critical one is proportional to (1-J/Jc)^(5/4). This result is in concordance with the one for the affine phenomenon of the Josephson current decay due to the thermal phase fluctuations, where the activation energy proportional (1-J/J_c)^(3/2)(the difference in the exponents is related to the additional current dependence of the order parameter). Found dependence of the activation energy on current explains the enormous discrepancy between the theoretically predicted before and the experimentally observed broadening of the resistive transition.
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Danny Wilms Floet. (2001). Hotspot mixing in THz niobium superconducting hot electron bolometer mixers. Ph.D. thesis, , Netherlands.
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Омельянук, А. Н., Ильичев, Е. В., & Шевченко, С. Н. (2013). Квантовые когерентные явления в джозефсоновских кубитах. Наукова книга. Киев: ФТИНТ им. Б. И. Верника НАН Украины.
Abstract: Монография посвящена актуальным проблемам физики сверхпроводниковых джозефсоновских кубитов — макроскопических квантовых структур, перспективных элементов квантовых компьютеров. Приведены элементы квантовой механики кубитов, фундаментальные свойства сверхпроводников, физика классических и квантовых джозефсоновских структур. Рассмотрены основные типы сверхпроводниковых кубитов. Изложены результаты экспериментальных и теоретических исследований квантовых когерентных явлений в джозефсоновских кубитах. Рассмотрены спектроскопия энергетичеÂских состояний, осцилляции Раби, эффект Ландау-Зинера, многофотонные переходы в одиночних кубитах и в системах связанных кубитов. Изучено влияние шумов на потоковый кубит и на его классический аналог.
Для специалистов в области теоретической и прикладной физики, сверхпроводниковой микроэлектроники, а также аспирантов и студентов физико-технических специальностей.
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Miao, W., Zhang, W., Zhong, J. Q., Shi, S. C., Delorme, Y., Lefevre, R., et al. (2014). Non-uniform absorption of terahertz radiation on superconducting hot electron bolometer microbridges. <ef><bf><bc>Appl. Phys. Lett., 104, 052605(1–4).
Abstract: We interpret the experimental observation of a frequency-dependence of superconducting hot electron bolometer (HEB) mixers by taking into account the non-uniform absorption of the terahertz radiation on the superconducting HEB microbridge. The radiation absorption is assumed to be proportional to the local surface resistance of the HEB microbridge, which is computed using the Mattis-Bardeen theory. With this assumption the dc and mixing characteristics of a superconducting niobium-nitride (NbN) HEB device have been modeled at frequencies below and above the equilibrium gap frequency of the NbN film.
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Huard, B., Pothier, H., Esteve, D., & Nagaev, K. E. (2007). Electron heating in metallic resistors at sub-Kelvin temperature. Phys. Rev. B, 76, 165426(1–9).
Abstract: In the presence of Joule heating, the electronic temperature in a metallic resistor placed at sub-Kelvin temperatures can significantly exceed the phonon temperature. Electron cooling proceeds mainly through two processes: electronic diffusion to and from the connecting wires and electron-phonon coupling. The goal of this paper is to present a general solution of the problem in a form that can easily be used in practical situations. As an application, we compute two quantities that depend on the electronic temperature profile: the second and the third cumulant of the current noise at zero frequency, as a function of the voltage across the resistor. We also consider time-dependent heating, an issue relevant for experiments in which current pulses are used, for instance, in time-resolved calorimetry experiments.
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