Temperature Profile of Hotspots in Narrow Current-Biased Superconducting Strips

Maneval, J. P.; Harrabi, K.; Chibane, F.; Rosticher, Michaël; Ladan, F. R.; Mathieu, P.

doi:10.1109/tasc.2012.2235507

Cited by 8 publications

(5 citation statements)

References 10 publications

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“…5(b)]. All these findings are in good qualitative agreement with recent experiments on superconducting thin films [13][14][15][16]. Figure 5(c) shows the response time of all three investigated samples as a function of time at T = 0.98T c .…”

Section: Voltage-time Characteristicssupporting

confidence: 89%

“…It is believed that the PSC regime is confined to a small temperature range in the vicinity of the transition temperature T c [3,5] and that the HS mechanism dominates at lower temperatures [12]. However, recent studies implementing the pulsed-current technique revealed that hot spots never form unless PSCs have first been nucleated [13][14][15][16]. This experimental technique has been shown to be an effective tool in the study of the evolution of the resistive state in current-driven superconductors and furthermore it has a number of advantages over conventional techniques such as multiprobe voltage measurements [17], laser imaging [9], and radio-frequency synchronization [5,18].…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of current-driven phase-slip centers in superconducting strips

et al. 2014

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Phase-slip centers/lines and hot spots are the main mechanisms for dissipation in current-carrying superconducting thin films. The pulsed-current method has recently been shown to be an effective tool in studying the dynamics of phase-slip centers and their evolution to hot spots. We use the time-dependent Ginzburg-Landau theory in the study of the dynamics of the superconducting condensate in superconducting strips under external current and zero external magnetic field. We show that both the flux-flow state (i.e., slow-moving vortices) and the phase-slip line state (i.e., fast-moving vortices) are dynamically stable dissipative units with temperature smaller than the critical one, whereas hot spots, which are localized normal regions where the local temperature exceeds the critical value, expand in time, resulting ultimately in a complete destruction of the condensate. The response time of the system to abrupt switching on of the overcritical current decreases with increasing both the value of the current (at all temperatures) and temperature (for a given value of the applied current). Our results are in good qualitative agreement with experiments we have conducted on Nb thin strips.

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Section: Voltage-time Characteristicssupporting

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Dynamics of current-driven phase-slip centers in superconducting strips

et al. 2014

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“…This value of the exponent p is provided by a microscopic model [16] for the heat flow between two solids across their interface via 3D Debye phonons. Further modifications of the selfheating normal domain model were made by incorporating the state (normal/superconducting) and temperature dependence of the electron thermal conductivity [17][18][19][20] or by varying the exponent p [21,22]. Microscopic models [16,23,24] describing the heat flow from electrons to phonons in the film and further to phonons in the substrate show that the exponent p is not necessary an integer and may have any value from 4 to 6.…”

Section: Introductionmentioning

confidence: 99%

Phonon heat capacity and self-heating normal domains in NbTiN nanostrips

Sidorova

Semenov

Huebers

et al. 2022

Supercond. Sci. Technol.

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Self-heating normal domains in thin superconducting NbTiN nanostrips with the granular structure were characterized via steady-state hysteretic current–voltage characteristics measured at different substrate temperatures. The temperature dependence and the magnitude of the current, which sustains a domain in equilibrium at different voltages, can only be explained with a phonon heat capacity noticeably less than expected for 3D Debye phonons. This reduced heat capacity coincides with the value obtained earlier from magnetoconductance and photoresponse studies of the same films. The rate of heat flow from electrons at a temperature T e to phonons in the substrate at a temperature T B is proportional to ( T e p − T B p ) with the exponent p ≈ 3, which differs from the exponents for heat flows mediated by the electron–phonon interaction or by escaping of 3D Debye phonons via the film/substrate interface. We attribute both findings to the effect of grains on the phonon spectrum of thin NbTiN films. Our findings are significant for understanding the thermal transport in superconducting devices exploiting thin granular films.

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“…This value of the exponent p is provided by a microscopic model [16] for the heat flow between two solids across their interface via 3-d Debye phonons. Further modifications of the self-heating normal domain model were made by incorporating the state (normal/superconducting) and temperature dependence of the electron thermal conductivity [17][18][19][20] or by varying the exponent p [21,22]. Microscopic models [16,23,24] describing the heat flow from electrons to phonons in the film and further to phonons in the substrate show that the exponent p is not necessary an integer and may have any value from 4 to 6.…”

Section: Introductionmentioning

confidence: 99%

Phonon heat capacity and self-heating normal domains in NbTiN nanostrips

Sidorova,

Semenov,

Huebers

et al. 2022

Preprint

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Self-heating normal domains in thin superconducting NbTiN nanostrips were characterized via steady-state hysteretic current-voltage characteristics measured at different substrate temperatures. The temperature dependence and the magnitude of the current, which sustains a domain in equilibrium at different voltages, can only be explained with a phonon heat capacity noticeably less than expected for 3-d Debye phonons. This reduced heat capacity coincides with the value obtained earlier from magnetoconductance and photoresponse studies of the same films. The rate of heat flow from electrons at a temperature Te to phonons in the substrate at a temperature TB is proportional to (T p e − T p B ) with the exponent p ≈ 3, which differs from the exponents for heat flows mediated by the electron-phonon interaction or by escaping of 3-d Debye phonons via the film/substrate interface. We attribute both findings to the effect of the mean grain size on the phonon spectrum of thin granular NbTiN films. Our findings are significant for understanding the thermal transport in superconducting devices exploiting thin granular films.

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Temperature Profile of Hotspots in Narrow Current-Biased Superconducting Strips

Cited by 8 publications

References 10 publications

Dynamics of current-driven phase-slip centers in superconducting strips

Dynamics of current-driven phase-slip centers in superconducting strips

Phonon heat capacity and self-heating normal domains in NbTiN nanostrips

Phonon heat capacity and self-heating normal domains in NbTiN nanostrips

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