Current-assisted thermally activated flux liberation in ultrathin nanopatterned NbN superconducting meander structures

We present results from an extensive study of fluctuation phenomena in superconducting nanowires made from sputtered NbN. Nanoscale wires were fabricated in form of a meander and operated at a constant temperature T0.4Tc0. The superconducting state is driven close to the electronic phase transition by a high bias current near the critical one. Fluctuations of sufficient strength temporarily drive a section of the meander structure into the normal-conducting state, which can be registered as a voltage pulse of nanosecond duration. We considered three different models vortex-antivortex pairs, vortex edge barriers, and phase-slip centers to explain the experimental data. Only thermally excited vortices, either via unbinding of vortex-antivortex pairs or vortices overcoming the edge barrier, lead to a satisfactory and consistent description for all measurements.

[1]  F. Manzano,et al.  Magnetic penetration depth of MgB2 , 2003 .

[2]  Kogan Pearl's vortex near the film edge. , 1994, Physical review. B, Condensed matter.

[3]  V. Mitin,et al.  One-dimensional resistive states in quasi-two-dimensional superconductors : Experiment and theory , 2007, 0709.0709.

[4]  W. Little Decay of Persistent Currents in Small Superconductors , 1967 .

[5]  Anthony J Leggett,et al.  Influence of Dissipation on Quantum Tunneling in Macroscopic Systems , 1981 .

[6]  L. Cooper,et al.  Theory of superconductivity , 1957 .

[7]  Germany,et al.  Fluctuation effects in superconducting nanostrips , 2004, cond-mat/0411033.

[8]  I. Milostnaya,et al.  Dark Counts in Nanostructured NbN Superconducting Single-Photon Detectors and Bridges , 2007, IEEE Transactions on Applied Superconductivity.

[9]  E. Helfand,et al.  Temperature and purity dependence of the superconducting critical field, H/sub c2/ , 1964 .

[10]  A. Leggett,et al.  Quantum tunnelling in a dissipative system , 1983 .

[11]  J. E. Mooij,et al.  Possibility of Vortex-Antivortex Pair Dissociation in Two-Dimensional Superconductors , 1979 .

[12]  C. N. Lau,et al.  Quantum phase slips in superconducting nanowires. , 2001, Physical review letters.

[13]  M. Siegel,et al.  Current-Induced Critical State in NbN Thin-Film Structures , 2008 .

[14]  G. Maksimova Mixed state and critical current in narrow semiconducting films , 1998 .

[15]  J. Langer,et al.  Intrinsic Resistive Transition in Narrow Superconducting Channels , 1967 .

[16]  M. Smoluchowski Zur kinetischen Theorie der Brownschen Molekularbewegung und der Suspensionen , 1906 .

[17]  B. Delaet,et al.  Fabrication of a superconducting niobium nitride hot electron bolometer for single-photon counting , 2004 .

[18]  Alexey V. Ustinov,et al.  The Physics of Superconductors , 1997 .

[19]  M. Franz Superconductivity: Importance of fluctuations , 2007 .

[20]  A. Hebard,et al.  Superconducting phase transitions in indium/indium-oxide thin-film composites , 1983 .

[21]  D. Mccumber Intrinsic resistive transition in thin superconducting wires driven from current sources , 1968 .

[22]  D. Thouless,et al.  Ordering, metastability and phase transitions in two-dimensional systems , 1973 .

[23]  O. Okunev,et al.  Picosecond superconducting single-photon optical detector , 2001 .

[24]  Stuart A. Wolf,et al.  Use of granular NbN as a superconducting bolometer , 1981 .

[25]  B. Mühlschlegel Die thermodynamischen Funktionen des Supraleiters , 1959 .

[26]  H. Casimir,et al.  On supraconductivity I , 1934 .

[27]  A. Kadin,et al.  Renormalization and the Kosterlitz-Thouless transition in a two-dimensional superconductor , 1983 .

[28]  A. Einstein Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen [AdP 17, 549 (1905)] , 2005, Annalen der Physik.

[29]  Eric A. Dauler,et al.  Kinetic-inductance-limited reset time of superconducting nanowire photon counters , 2005, physics/0510238.

[30]  J. Livingston,et al.  Surface Barrier in Type-II Superconductors , 1964 .

[31]  A. Larkin,et al.  The influence of fluctuation pairing of electrons on the conductivity of normal metal , 1968 .

[32]  J. Kosterlitz,et al.  The critical properties of the two-dimensional xy model , 1974 .

[33]  W. Webb,et al.  Onset of quantized thermal fluctuations in one-dimensional superconductors , 1970 .

[34]  Giordano,et al.  Evidence for macroscopic quantum tunneling in one-dimensional superconductors. , 1988, Physical review letters.

[35]  B. Josephson Possible new effects in superconductive tunnelling , 1962 .

[36]  John Bardeen,et al.  Theory of the Motion of Vortices in Superconductors , 1965 .

[37]  Gregory N. Goltsman,et al.  Broadband ultrafast superconducting NbN detector for electromagnetic radiation , 1994 .

[38]  D. Nelson,et al.  Universal Jump in the Superfluid Density of Two-Dimensional Superfluids , 1977 .

[39]  E. Helfand,et al.  Temperature and Purity Dependence of the Superconducting Critical Field, H c 2 . III. Electron Spin and Spin-Orbit Effects , 1966 .

[40]  Semenov,et al.  Analysis of the nonequilibrium photoresponse of superconducting films to pulsed radiation by use of a two-temperature model. , 1995, Physical review. B, Condensed matter.

[41]  A. D. Zaikin,et al.  Superconductivity in one dimension , 2008, 0805.2118.

[42]  K. Maki The Critical Fluctuation of the Order Parameter in Type-II Superconductors , 1968 .

[43]  K. Maki Critical Fluctuation of the Order Parameter in a Superconductor. I , 1968 .

[44]  A. Kadin,et al.  Nonbolometric NbN photodetector , 1995, IEEE Transactions on Applied Superconductivity.

[45]  T. Qian,et al.  Numerical study of the phase slip in two-dimensional superconducting strips , 2008 .

[46]  David R. Nelson,et al.  Resistive transition in superconducting films , 1979 .

[47]  L. Landau,et al.  On the theory of superconductivity , 1955 .

[48]  B. Halperin,et al.  Time scale of intrinsic resistive fluctuations in thin superconducting wires , 1970 .

[49]  Michael Tinkham,et al.  Introduction to Superconductivity , 1975 .

[50]  Brian D. Josephson,et al.  Supercurrents through barriers , 1965 .

[51]  Critical fields for vortex expulsion from narrow superconducting strips , 2007, cond-mat/0703735.

[52]  M. Tinkham,et al.  Fluctuations near superconducting phase transitions , 1975 .

[53]  M. Siegel,et al.  Intrinsic quantum efficiency and electro-thermal model of a superconducting nanowire single-photon detector , 2009 .

[54]  J. Pearl,et al.  CURRENT DISTRIBUTION IN SUPERCONDUCTING FILMS CARRYING QUANTIZED FLUXOIDS , 1964 .

[55]  B. Josephson,et al.  The discovery of tunnelling supercurrents , 1974 .

[56]  V. Kogan Erratum: Pearl’s vortex near the film edge [Phys. Rev. B49, 15874 (1994)] , 2007 .

[57]  Konstantin K. Likharev,et al.  Superconducting weak links , 1979 .

[58]  M. Siegel,et al.  Optical and transport properties of ultrathin NbN films and nanostructures , 2009 .

[59]  M. Beasley,et al.  FLUCTUATION EFFECTS ON THE SUPERCONDUCTING TRANSITION OF TIN WHISKER CRYSTALS. , 1972 .

[60]  A. Bezryadin Quantum suppression of superconductivity in nanowires , 2008 .