Äîêóìåíò âçÿò èç êýøà ïîèñêîâîé ìàøèíû. Àäðåñ îðèãèíàëüíîãî äîêóìåíòà : http://phys.msu.su/upload/iblock/844/2012-00-00-arutyunov.pdf Äàòà èçìåíåíèÿ: Wed May 2 13:34:17 2012 Äàòà èíäåêñèðîâàíèÿ: Mon Oct 1 21:07:36 2012 Êîäèðîâêà:

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[1]. G. F. Taylor. A method of drawing metallic filaments and a discussion of their properties and uses // Phys. Rev. 23(5):655--660 (1924). [2]. E. I. Givargizov. Highly Anisotropic Crystals, Series: Material Science of Minerals and Rocks. Springer-Verlag GmbH, Berlin Heidelberg, Germany (1987).

32


[3]. K. Yu. Arutyunov, T. V. RyynÄnen, J. P. Pekola, and A. B. Pavolotski. Superconducting transition of single-crystal tin microstructures // Phys. Rev. B, 63(9):092506-1 -- 092506-4 (2001). [4]. M. Zgirski, K-P. Riikonen, V. Tuboltsev, P. Jalkanen, T. T. Hongisto and K. Yu. Arutyunov. Ion beam shaping and downsizing of nanostructures // Nanotechnology 19:055301-1 -- 055301-6 (2008). [5]. K. Yu. Arutyunov. Ion beam etching method and ion beam etching apparatus // patent FI-122010 (2011). [6]. J. Meyer and G. V. Minnegerode. Instabilities in the transition curve of currentcarrying onedimensional superconductors // Phys. Lett., 38A:529 -- 530 (1972). [7]. R. Tidecks. Current-Induced Nonequilibrium Phenomena in Quasi-OneDimensional Superconductors. Springer, NY (1990). [8]. M. Tinkham. The interaction of phase-slip centers in superconducting filaments // J. Low Temp. Phys. 35:147--151 (1979). [9]. K. Yu. Arutyunov, N. P. Danilova, A. A. Nikolaeva. Galvanomagnetic properties of quasi-one-dimensional superconductors // J. Appl. Phys. 76, 7139 - 7140 (1994). [10]. K. Yu. Arutyunov, N. P. Danilova, A. A. Nikolaeva. Nonequilibrium galvanomagnetic properties of quasi-one-dimensional superconductors // Physica C 235 ­ 240: 1967 -- 1968 (1994). [11]. V. P. Galaiko E. V. Bezugly, E. N. Bratus. On the theory of voltage jumps in on voltage-current characteristics of supercondcuting channels // Sov: Fizika Nizkix Temperatur, 3(8):1010 -- 1021 (1977). [12]. J. Clarke in Nonequlibrium superconductivity, Phonons, and Kapitza Boundaries. Edited by K. E. Gray, Plenum Press, New York (1981). [13]. R. Yagi. Charge imbalance observed in voltage-biased superconductor - normal tunnel junctions // Phys. Rev. B. 73:134507-1 --134507-4 (2006). [14]. R. Morimoto, T. Matsumura, R. Yagi, K. Tsuboi and H. Kobara. Study of quasiparticle recombination rate by
33

injection

experiment

using

narrow


superconducting wire and dc-SQUID junctions // J. Phys. Soc. Jpn., 78:054704 -054707 (2009). [15]. K. Yu. Arutyunov, H.-P. Auraneva, and A. S. Vasenko. Spatially resolved measurement of nonequilibrium quasiparticle relaxation in superconducting aluminium // Phys. Rev. B, 83(10):104509-1 -- 104509-7 (2011). [16]. P. G. de Gennes. Superconductivity in metals and alloys. Addison-Wesley,New York (1966). [17]. N. E. Israeloff, F. Yu, A. M. Goldman, and R. Bojko. Nonlocal paraconductance of small superconducting loops // Phys. Rev. Lett. 71:2130--2133, (1993). [18]. C. Strunk, V. Bruyndoncx, V. V. Moshchalkov, C. Van Haesendonck, Y. Bruynseraede, (1996). [19]. L. I. Glazman, F. W. J. Hekking, and A. Zyuzin. Nonlocal resistance oscillations near the superconducting transition // Phys. Rev. B 46:9074--9081 (1992). [20]. W. A. Little and R. D. Parks. Observation of quantum periodicity in the transition temperature of a superconducting cylinder // Phys. Rev. Lett. 9:9--12 (1962). [21]. K. Yu. Arutyunov, J. P. Pekola, A. B. Pavolotski, and D. A. Presnov. Nonlocality in superconducting microstructures // Phys. Rev. B 64:064519-1 -064519-6 (2001). [22]. S. V. Lotkhov, A. B. Pavolotski, K. Yu. Arutyunov, D. A. Presnov, and L. Rinderer. Resistive state anomaly in superconducting nanostructures // Phys. Rev. B 59:6487--6498 (1999). [23]. P. Santhanam, C. C. Chi, S. J. Wind, M. J. Brady, and J. J. Bucchignano. Resistance anomaly near the superconducting transition temperature in short aluminum wires // Phys. Rev. Lett. 66:2254--2257 (1991). [24]. Y. K. Kwong, K. Lin, P. J. Hakonen, M. S. Isaacson, and J. M. Parpia. Interfacial resistive anomaly at a normal-superconducting boundary // Phys. Rev. B 44:462--465 (1991).
34

and

R.

Jonckheere.

Nonlocal

effects

in

mesoscopic

superconducting aluminum structures // Phys. Rev. B 54:R12701--R12704


[25]. H. Vloeberghs, V. V. Moshchalkov, C. Van Haesendonck, R. Jonckheere, and Y. Bruynseraede. Anomalous Little-Parks oscillations in mesoscopic loops // Phys. Rev. Lett. 69:1268--1271 (1992). [26]. I. L. Landau and L. Rinderer. Comment on ''Intrinsic resistance fluctuations in mesoscopic superconducting wires'' // Phys. Rev. B 56:6348--6351 (1997). [27]. J. S. Langer and V. Ambegaokar. Intrinsic resistive transition in narrow superconducting channels // Phys. Rev. 164:498--510 (1967). [28]. D. E. McCumber and B. I. Halperin. Time scale of intrinsic resistive fluctuations in thin superconducting wires // Phys. Rev. B 1:1054--1070 (1970). [29]. J. E. Lukens, R. J. Warburton, and W. W. Webb. Onset of quantized thermal fluctuations in "one-dimensional" superconductors // Phys. Rev. Lett. 25(17):1180--1184 (1970). [30]. R. S. Newbower, M. R. Beasley, and M. Tinkham. Fluctuation effects on the superconducting transition of tin whisker crystals // Phys. Rev. B 5(3):864 -- 868 (1972). [31]. M. Zgirski and K. Yu. Arutyunov. Experimental limits of the observation of thermally activated phase-slip mechanism in superconducting nanowires // Phys. Rev. B 75(17):172509 --172512 (2007). [32]. N. Giordano. Evidence for macroscopic quantum tunneling in one-dimensional superconductors // Phys. Rev. Lett. 61:2137--2139 (1988). [33]. A. Bezryadin, C. N. Lau and M. Tinkham. Quantum suppression of superconductivity in ultrathin nanowires // Nature 404:971--974 (2000). [34]. A. D. Zaikin, D. S. Golubev A. van Otterlo and G. T. ZimÀnyi. Quantum phase slips and transport in ultrathin superconducting wires // Phys. Rev. Lett. 78(8):1552--1555 (1997). [35]. M. Zgirski, K.-P. Riikonen V. Touboltsev and K. Yu. Arutyunov. Size dependent breakdown of superconductivity in ultranarrow nanowires // Nano Lett., 5(6):1029--1044 (2005).

35


[36]. M. Zgirski, K.-P. Riikonen V. Touboltsev and K. Yu. Arutyunov. Quantum fluctuations in ultranarrow superconducting aluminum nanowires. Phys. Rev. B // 77:054508-1 -- 054508-6 (2008). [37]. J. S. Lehtinen, T. Sajavara K. Yu. Arutyunov, M. Yu. Presnjakov and A. S. Vasiliev. Evidence of quantum phase slip effect in titanium nanowires // Phys. Rev. B to be published (2012). [38]. J. E. Mooij and Yu. V. Nazarov. Superconducting nanowires as quantum phase slip junctions // Nature Phys. 2:169--172 (2006). [39]. L. S. Kuzmin and D. B. Haviland. Observation of the Bloch oscillations in an ultrasmall Josephson junction // Phys. Rev. Lett. 67(20):2890 -- 2893 (1991).

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A1. K. Yu. Arutyunov, N. P. Danilova, A. A. Nikolaeva. Galvanomagnetic properties of quasi-one-dimensional superconductors // J. Appl. Phys. 76, 7139-7140 (1994). A2. K. Yu. Arutyunov, N. P. Danilova, A. A. Nikolaeva. Nonequilibrium galvanomagnetic properties of quasi-one-dimensional superconductors // Physica C 235-240, 1967--1968 (1994). A3. K. Yu. Arutyunov. Manifestation of Qusiparticle Branch Imbalance in Resistive Measurements of Mesoscopic Superconductors // Phys. Rev. B 53 12304 --12310 (1996). A4. K. Yu. Arutyunov, V. A. Krupenin, S. V. Lotkhov, A. B. Pavolotski and L. Rinderer. Resistive State Measurements of Quasi-0-Dimensional Superconducting Structures // Czech. J. of Physics 46, 2309 (1996). A5. K. Yu. Arutyunov, S. V. Lotkhov, A. B. Pavolotski, D. A. Presnov and L. Rinderer. On the reproducibility of Resistive State Anomalies in Superconducting Nanostructures // Helv. Phys. Acta 69(2), 31 (1996). A6. K. Yu. Arutyunov, V. A. Krupenin, S. V. Lotkhov, A. B. Pavolotski and L. Rinderer. Resistive State Anomalies of Superconducting Nanostructures // Superlattices and Microstructures 21A, 27 (1997). A7. K. Yu. Arutyunov, S. V. Lotkhov, A. B. Pavolotski, D. A. Presnov and L. Rinderer. Resistive-state Anomaly in Superconducting Nanostructures // Phys.Rev. B 59, 6487-- 6498 (1999). A8. J. P. Pekola, A. J. Manninen, M. M. Leivo, K. Yu. Arutyunov, J. K. Suoknuuti, T. I. Suppula, and B. Collaudin. Microrefrigeration by quasiparticle tunneling in NIS and SIS junctions // Physica B, 280, 485--490 (2000). A9. K. Yu. Arutyunov, Sh. Farhangfar, D. Presnov, and J. P. Pekola. Unconventional Behavior of Small Superconductors in a Nonequilibrium State in the Proximity of a Normal Metal // Physica B 284-288, 1848--1849 (2000).
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A10. K. Yu. Arutyunov, T. Suppula, J. K. Suoknuuti and J. P. Pekola. Influence of magnetic field on cooling by normal-insulator-superconductor junctions // J. Appl. Phys. 88, 326--330 (2000). A11. K. Yu. Arutyunov, J. P. Pekola, A. B. Pavolotski, D. A. Presnov. Nonlocality in superconducting microstructures, in "Macroscopic Quantum Coherence and Quantum Computing", edited by D. V. Averin, B. Ruggiero and P. Silvestrini, Kluvert Academic Plenum Publishers, 155-163 (2001). A12. K. Yu. Arutyunov, T. V. Ryynanen, J. P. Pekola, and A. B. Pavolotski. Superconducting transition of single-crystal tin microstructures // Phys. Rev. B 63, 092506-1 -- 092506-4 (2001). A13. K. Yu. Arutyunov, J. P. Pekola, A. B. Pavolotski and D. A. Presnov. Nonlocality in superconducting microstructures // Phys. Rev. B 64, 064519-1 -- 064519-6 (2001). A14. K. Yu. Arutyunov, T. T. Hongisto, and J. P. Pekola. Solid state analogue of a double slit interferometer, in "Superconducting Nano-Electronics devices" edited by J. Pekola, B. Ruggiero and P. Silvestrini, Kluvert Academic Plenum Publishers, 43-51 (2002). A15. K. Yu. Arutyunov, T. T. Hongisto, and J. P. Pekola. Interference of nonequilibrium quasiparticles in a superconductor // Physica B 329-333, 14291430 (2003). A16. W. X. Huang, P. Dendooven, K. Gloos, N. Takahashi, K. Yu. Arutyunov, J. P. Pekola, and J. AystÆ. Transport and extraction of radioactive ions stopped in superfluid helium // Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 204 , 592--596 (2003). A17. K. Yu. Arutyunov, T. T. Hongisto. Normal metal ­ Insulator ­ Superconductor Interferometer // Phys. Rev. B 70, 064514-1 -- 064514-6 (2004). A18. M. Savolainen, V. Touboltsev, P. Koppinen, K.-P. Riikonen and K. Yu. Arutyunov. Ion beam sputtering method for progressive reduction of nanostructures dimensions // Appl. Phys. A 79, 1769--1773 (2004).
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A19. K. Yu. Arutyunov, T. T. Hongisto, and J. P. Pekola. Solid state analogue of an optical interferometer, in "Quantum Computing and Quantum Bits in Mesoscopic systems" edited by A. Leggett, B. Ruggiero and P. Silvestrini, Kluvert Academic Plenum Publishers, 247-253 (2004). A20. M. Zgirski, K.-P. Riikonen, V. Touboltsev, and K. Arutyunov. Size Dependent Breakdown of Superconductivity in Ultranarrow Nanowires // Nano Letters 5, 1029--1033 (2005). A21. P. Jalkanen, V. Touboltsev, H. Koivisto, P. Suominen, T. Suppula, K. Yu. Arutyunov, and J. RÄisÄnen. Superconductivity suppression in Fe-implanted thin Al films // J. Appl. Phys. 98, 016105-1 -- 016105-3 (2005). A22. D. V. Vodolazov, F. M. Peters, T. T. Hongisto, and K. Yu. Arutyunov. Microscopic analysis of multiple flux transitions in mesoscopic superconducting loops // Europhys. Lett. 75(2), 315--320 (2006). A23. A. A. Shanenko, M. D. Croitoru, M. Zgirski, F. M. Peters and K. Yu. Arutyunov. Size dependent enhancement of superconductivity in nanowires // Phys. Rev. B 74, 052502-1 -- 052502-2 (2006). A24. M. Zgirski, K.-P. Riikonen, T. Holmqvist, M. Savolainen, V. Touboltsev, and K. Yu. Arutyunov. Phase slip phenomena in ultra-thin superconducting wires, in "Quantum Computation in Solid State Systems" edited by B. Ruggiero, P. Delsing, C. Granata, Y. Pashkin, P.Silvestrini, 70-75, Springer (2006). A25. K. Yu. Arutyunov, V. Tuboltsev and M. Kaarre. Ion beam etching processing, PCT patent FI-2007/050440, WO 2008/017733 A1 (2006). A26. P. Jalkanen, V. Tuboltsev, A. Virtanen, K. Yu. Arutyunov, J. RÄisÄnen, O. Lebedev and (2007). A27. M. Zgirski and K. Yu. Arutyunov. Experimental limits of the observation of thermally activated phase-slip mechanism in superconducting nanowires // Phys. Rev. B 75, 172509-1 -- 172509-4 (2007).
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G. Van Tendeloo. Critical temperature modification of low

dimensional superconductors by spin doping // Sol. St. Comm. 142, 407--411


A28. M. Zgirski and K. Yu. Arutyunov. Resistive state of quasi-one-dimensional superconductors: fluctuations vs. sample inhomogeneity // Physica E 40, 160-162 (2007). A29. K.Yu. Arutyunov, T. T. Hongisto, D. Y. Vodolazov. Tunneling spectroscopy of persistent currents in superconducting microrings // Physica E 40, 184--186 (2007). A30. K. Yu. Arutyunov. Fabrication of quasi-one-dimensional superconducting micro- and nanostructures // Recent Patents in NanoTechnology 1, 129-135 (2007). A31. K. Yu. Arutyunov, M. Zgirski, K.-P. Riikonen, and P. Jalkanen. Quantum Limitations of Electron Transport in Ultra-Narrow Nanowires // Int. Rev. Phys. 1(1) 28--30 (2007). A32. K. Yu. Arutyunov. Negative magnetoresistance of ultra-narrow superconducting nanowires in the resistive state // Physica C 468(4), 272-75 (2008). A33. T. T. Hongisto and K. Yu. Arutyunov. Persistent Currents in Superconducting Nanorings // J. Phys. 97, 012114-1 -- 012114-8 (2008). A34. M. Zgirski, K.-P. Riikonen, and K. Yu. Arutyunov. Current-Voltage Dependencies in Ultra-Narrow Superconducting Nanowires in the Regime of Quantum Fluctuations // J. Phys. 97, 012113-1 -- 012113-5 (2008). A35. T. T. Hongisto and K. Yu. Arutyunov. Tunneling spectroscopy of giant vorticity states in superconducting micro- and nanorings at ultra-low temperatures // Physica C 468, 733--736 (2008). A36. M. Zgirski, K-P. Riikonen, V. Tuboltsev, P. Jalkanen, T. T. Hongisto and K. Yu. Arutyunov. Ion beam shaping and downsizing of nanostructures // Nanotechnology 19 055301-1 -- 055301-6 (2008). A37. M. Zgirski, K.-P. Riikonen, V. Touboltsev and K. Yu. Arutyunov. Quantum fluctuations in ultranarrow superconducting nanowires // Phys. Rev. B 77, 054508-1 -- 054508-6 (2008).
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A38. K. Yu. Arutyunov, D. S. Golubev, and A. D. Zaikin. Superconductivity in one dimension // Physics Reports 464, 1-70 (2008). A39. K. Yu. Arutyunov. Experimental study of the fluctuation-governed resistive state in quasi-one-dimensional superconductors, in "Nanoscience Frontiers Fundamentals of Superconducting Electronics, Springer Serie: Nanoscience and Technology", 45-66 (2011). A40. K. Yu. Arutyunov. Ion beam etching method and ion beam etching apparatus, patent FI-122010 (2011). A41. K. Yu. Arutyunov, H.-P. Auraneva, and A. S. Vasenko. Spatially resolved measurement of nonequilibrium quasiparticle relaxation in superconducting aluminium // Phys. Rev. B 83, 104509--104513 (2011). A42. J. S. Lehtinen, T. Sajavara, K. Yu. Arutyunov, M. Yu. Presnjakov, and A. S. Vasiliev. Evidence of quantum phase slip effect in titanium nanowires // Phys. Rev. B 85, 135901--135907 (2012). A43. O. V. Astafiev, L. B. Ioffe, S. Kafanov, Yu. A. Pashkin, K. Yu. Arutyunov, D. Shahar, O. Cohen, and J. S. Tsai. Coherent quantum phase slip // Nature 484(7392), 176--181 (2012). A44. K. Yu. Arutyunov, T. T. Hongisto, J. S. Lehtinen, L. I. Leino, and A. S. Vasiliev. Quantum phase slip phenomenon in ultra-narrow superconducting nanorings // Nature: Sci. Rep. 2(293), 1--7 (2012)

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