Skip to main content
Top

2010 | OriginalPaper | Chapter

Electronic and Thermal Sequential Transport in Metallic and Superconducting Two-Junction Arrays

Authors : T. Kühn, G.S. Paraoanu

Published in: Trends in Nanophysics

Publisher: Springer Berlin Heidelberg

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The description of transport phenomena in devices consisting of arrays of tunnel junctions, and the experimental confirmation of these predictions is one of the great successes of mesoscopic physics. The aim of this paper is to give a self-consistent review of sequential transport processes in such devices, based on the so-called “orthodox” model. We calculate numerically the current-voltage (IV) curves, the conductance versus bias voltage (GV) curves, and the associated thermal transport in symmetric and asymmetric two-junction arrays such as Coulomb-blockade thermometers (CBTs), superconducting-insulator-normal-insulator-superconducting (SINIS) structures, and superconducting single-electron transistors (SETs). We investigate the behavior of these systems at the singularity-matching bias points, the dependence of microrefrigeration effects on the charging energy of the island, and the effect of a finite superconducting gap on Coulomb-blockade thermometry.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Literature
1.
go back to reference D.V. Averin, K.K. Likharev, J. Low Temp. Phys. 62, 345 (1986); T.A. Fulton, G.J. Dolan, Phys. Rev. Lett. 59, 109 (1987)CrossRef D.V. Averin, K.K. Likharev, J. Low Temp. Phys. 62, 345 (1986); T.A. Fulton, G.J. Dolan, Phys. Rev. Lett. 59, 109 (1987)CrossRef
2.
go back to reference R.J. Schoelkopf, P. Wahlgren, A.A. Kozhevnikov, P. Delsing, D.E. Prober, Science 280, 1238 (1998); M.A. Sillanpä, L. Roschier, P.J. Hakonen, Phys. Rev. Lett. 93, 066805 (2004)CrossRef R.J. Schoelkopf, P. Wahlgren, A.A. Kozhevnikov, P. Delsing, D.E. Prober, Science 280, 1238 (1998); M.A. Sillanpä, L. Roschier, P.J. Hakonen, Phys. Rev. Lett. 93, 066805 (2004)CrossRef
4.
go back to reference Y. Nakamura, Y.A. Pashkin, J.S. Tsai, Nature, 398, 786 (1999); Yu. Makhlin, G. Schön, A. Shnirman, Rev. Mod. Phys. 73, 357 (2001); D. Vion et. al., Science 296, 886 (2002); Y. Nakamura, Yu. A. Paskin, T. Yamamoto, J.S. Tsai, Phys. Rev. Lett. 88, 047901 (2002); Yu. A. Paskin et. al., Nature 421, 823 (2003); T. Yamamoto et. al., Nature 425, 941 (2003); T. Duty, D. Gunnarsson, K. Bladh, P. Delsing, Phys. Rev. B 69 132504 (2004); J.Q. You F. Nori, Physics Today 58, 42 (2005); G.S. Paraoanu, Phys. Rev. B 74, 140504(R) (2006). G.S. Paraoanu, Phys. Rev. Lett. 97, 180406 (2006); J. Li, K. Chalapat, G.S. Paraoanu, Phys. Rev. B 78, 064503 (2008); J. Li G.S. Paraoanu, New J. Phys. 11, 113020 (2009) Y. Nakamura, Y.A. Pashkin, J.S. Tsai, Nature, 398, 786 (1999); Yu. Makhlin, G. Schön, A. Shnirman, Rev. Mod. Phys. 73, 357 (2001); D. Vion et. al., Science 296, 886 (2002); Y. Nakamura, Yu. A. Paskin, T. Yamamoto, J.S. Tsai, Phys. Rev. Lett. 88, 047901 (2002); Yu. A. Paskin et. al., Nature 421, 823 (2003); T. Yamamoto et. al., Nature 425, 941 (2003); T. Duty, D. Gunnarsson, K. Bladh, P. Delsing, Phys. Rev. B 69 132504 (2004); J.Q. You F. Nori, Physics Today 58, 42 (2005); G.S. Paraoanu, Phys. Rev. B 74, 140504(R) (2006). G.S. Paraoanu, Phys. Rev. Lett. 97, 180406 (2006); J. Li, K. Chalapat, G.S. Paraoanu, Phys. Rev. B 78, 064503 (2008); J. Li G.S. Paraoanu, New J. Phys. 11, 113020 (2009)
5.
go back to reference G.S. Paraoanu, A.M. Halvari, Appl. Phys. Lett. 86, 093101 (2005); T.F. Li et. al., Appl. Phys. Lett. 91, 033107 (2007)CrossRef G.S. Paraoanu, A.M. Halvari, Appl. Phys. Lett. 86, 093101 (2005); T.F. Li et. al., Appl. Phys. Lett. 91, 033107 (2007)CrossRef
6.
go back to reference J.P. Pekola, K.P. Hirvi, J.P. Kauppinen, M.A. Paalanen, Phys. Rev. Lett. 73, 2903 (1994); K.P. Hirvi, J.P. Kauppinen, A.N. Korotkov, M.A. Paalanen, J.P. Pekola, Appl. Phys. Lett. 67, 2096 (1995); J.P. Kauppinen and J.P. Pekola, Phys. Rev. Lett. 77, 3889 (1996); Sh. Farhangfar, K.P. Hirvi, J.P. Kauppinen, J.P. Pekola, J.J. Toppari, D.V. Averin, A.N. Korotkov, J. Low Temp. Phys. 108, 191 (1997); J.P. Pekola, J.J. Toppari, J.P. Kauppinen, K.M. Kinnunen, A.J. Manninen, A.G.M. Jansen, J. Appl. Phys. 83, 5582 (1998); J.P. Kauppinen, K.T. Loberg, A.J. Manninen, J.P. Pekola, R.V. Voutilainen, Rev. Sci. Instrum. 69, 4166 (1998)CrossRef J.P. Pekola, K.P. Hirvi, J.P. Kauppinen, M.A. Paalanen, Phys. Rev. Lett. 73, 2903 (1994); K.P. Hirvi, J.P. Kauppinen, A.N. Korotkov, M.A. Paalanen, J.P. Pekola, Appl. Phys. Lett. 67, 2096 (1995); J.P. Kauppinen and J.P. Pekola, Phys. Rev. Lett. 77, 3889 (1996); Sh. Farhangfar, K.P. Hirvi, J.P. Kauppinen, J.P. Pekola, J.J. Toppari, D.V. Averin, A.N. Korotkov, J. Low Temp. Phys. 108, 191 (1997); J.P. Pekola, J.J. Toppari, J.P. Kauppinen, K.M. Kinnunen, A.J. Manninen, A.G.M. Jansen, J. Appl. Phys. 83, 5582 (1998); J.P. Kauppinen, K.T. Loberg, A.J. Manninen, J.P. Pekola, R.V. Voutilainen, Rev. Sci. Instrum. 69, 4166 (1998)CrossRef
7.
go back to reference M.M. Leivo, J.P. Pekola, D.V. Averin, Appl. Phys. Lett. 68, 1996 (1996); J.P. Pekola, F. Giazotto, O.-P. Saira, Phys. Rev. Lett. 98, 037201 (2007); O.-P. Saira, M. Meschke, F. Giazotto, A.M. Savin, M. Mottonen, J.P. Pekola, Phys. Rev. Lett. 99, 027203 (2007)CrossRef M.M. Leivo, J.P. Pekola, D.V. Averin, Appl. Phys. Lett. 68, 1996 (1996); J.P. Pekola, F. Giazotto, O.-P. Saira, Phys. Rev. Lett. 98, 037201 (2007); O.-P. Saira, M. Meschke, F. Giazotto, A.M. Savin, M. Mottonen, J.P. Pekola, Phys. Rev. Lett. 99, 027203 (2007)CrossRef
8.
go back to reference A.B. Zorin, S.V. Lotkhov, H. Zangerle, J. Niemeyer, J. Appl. Phys. 88, 2665 (2000); R. Dolata, H. Scherer, A.B. Zorin, V.A. Krupenin, J. Niemyer, Appl. Phys. Lett. 80 2776 (2002); N. Kim et. al., Physica B 329–333, 1519 (2003); G.S. Paraoanu, A. Halvari, Rev. Adv. Mater. Sci. 5, 265 (2003); M. Watanabe, Y. Nakamura, J.-S. Tsai, Appl. Phys. Lett. 84 410 (2004); A.M. Savin et. al., Appl. Phys. Lett. 91, 063512 (2007)CrossRef A.B. Zorin, S.V. Lotkhov, H. Zangerle, J. Niemeyer, J. Appl. Phys. 88, 2665 (2000); R. Dolata, H. Scherer, A.B. Zorin, V.A. Krupenin, J. Niemyer, Appl. Phys. Lett. 80 2776 (2002); N. Kim et. al., Physica B 329–333, 1519 (2003); G.S. Paraoanu, A. Halvari, Rev. Adv. Mater. Sci. 5, 265 (2003); M. Watanabe, Y. Nakamura, J.-S. Tsai, Appl. Phys. Lett. 84 410 (2004); A.M. Savin et. al., Appl. Phys. Lett. 91, 063512 (2007)CrossRef
10.
go back to reference F. Giazotto, T.T. Heikkilä, A. Luukanen, A.M. Savin, J. Pekola, Rev. Mod. Phys. 78, 217 (2006)CrossRef F. Giazotto, T.T. Heikkilä, A. Luukanen, A.M. Savin, J. Pekola, Rev. Mod. Phys. 78, 217 (2006)CrossRef
11.
go back to reference G.-L. Ingold, Yu.V. Nazarov, “Charge tunneling rates in ultrasmall junctions”, in Single Charge Tunneling, edited by H. Grabert, M.H. Devoret (Plenum, New York, NY 1992), pp. 21–108 G.-L. Ingold, Yu.V. Nazarov, “Charge tunneling rates in ultrasmall junctions”, in Single Charge Tunneling, edited by H. Grabert, M.H. Devoret (Plenum, New York, NY 1992), pp. 21–108
12.
go back to reference G. Schön, “Single-electron tunneling”, in T. Dittrich, P. Hänggi, G. Ingold, B. Kramer, G. Schön, W. Zwerger, Quantum Transport and Dissipation (VCH Verlag 1997), Chapter 3. G. Schön, “Single-electron tunneling”, in T. Dittrich, P. Hänggi, G. Ingold, B. Kramer, G. Schön, W. Zwerger, Quantum Transport and Dissipation (VCH Verlag 1997), Chapter 3.
14.
go back to reference J.G. Simons, J. Appl. Phys. 34, 1793 (1963); T.E. Hartman, J. Appl. Phys. 35, 3283 (1964); W.F. Brinkman, R.C. Dynes, J.M. Rowell, J. Appl. Phys. 41, 1915 (1970);CrossRef J.G. Simons, J. Appl. Phys. 34, 1793 (1963); T.E. Hartman, J. Appl. Phys. 35, 3283 (1964); W.F. Brinkman, R.C. Dynes, J.M. Rowell, J. Appl. Phys. 41, 1915 (1970);CrossRef
15.
16.
go back to reference P. Törmä, P. Zoller, Phys. Rev. Lett. 85, 487 (2000); Gh.-S. Paraoanu, M. Rodriguez, P. Törmä, J. Phys. B. 34, 4763 (2001); Gh.-S. Paraoanu, M. Rodriguez, P. Törmä, Phys. Rev. A 66, 041603 (2002); J. Kinnunen, M. Rodriguez, P. Törmä, Science 305, 1131 (2004).CrossRef P. Törmä, P. Zoller, Phys. Rev. Lett. 85, 487 (2000); Gh.-S. Paraoanu, M. Rodriguez, P. Törmä, J. Phys. B. 34, 4763 (2001); Gh.-S. Paraoanu, M. Rodriguez, P. Törmä, Phys. Rev. A 66, 041603 (2002); J. Kinnunen, M. Rodriguez, P. Törmä, Science 305, 1131 (2004).CrossRef
17.
go back to reference R.C. Dynes et. al., Phys. Rev. Lett. 53, 2437 (1984); M. Kunchur et. al., Phys. Rev. B 36, 4062 (1987); J.P. Pekola et. al., Phys. Rev. Lett. 92, 056804 (2004)CrossRef R.C. Dynes et. al., Phys. Rev. Lett. 53, 2437 (1984); M. Kunchur et. al., Phys. Rev. B 36, 4062 (1987); J.P. Pekola et. al., Phys. Rev. Lett. 92, 056804 (2004)CrossRef
18.
go back to reference J.J. Toppari, T. Kühn, A. P. Halvari, J. Kinnunen, M. Leskinen, G.S. Paraoanu, Phys. Rev. B 76, 172505 (2007)CrossRef J.J. Toppari, T. Kühn, A. P. Halvari, J. Kinnunen, M. Leskinen, G.S. Paraoanu, Phys. Rev. B 76, 172505 (2007)CrossRef
19.
go back to reference J.J. Toppari, T. Kühn, A.M. Halvari, G.S. Paraoanu, J. Phys.: Conf. Ser. 150, 022088 (2009)CrossRef J.J. Toppari, T. Kühn, A.M. Halvari, G.S. Paraoanu, J. Phys.: Conf. Ser. 150, 022088 (2009)CrossRef
20.
go back to reference Y.T. Tan, T. Kamiya, Z.A.K. Durrani, H. Ahmed, J. Appl. Phys. 94, 633 (2003); K. Luo, D.-H. Chae1, Z. Yao, Nanotechnol. 18 465203 (2007)CrossRef Y.T. Tan, T. Kamiya, Z.A.K. Durrani, H. Ahmed, J. Appl. Phys. 94, 633 (2003); K. Luo, D.-H. Chae1, Z. Yao, Nanotechnol. 18 465203 (2007)CrossRef
21.
go back to reference H. van Houten, C.W.J. Beenakker, A.A.M. Staring, “Coulomb-blockade oscillations in semiconductor nanostructures”, in Single Charge Tunneling, ed by H. Grabert, M.H. Devoret (Plenum, New York, 1992), pp. 167–216 H. van Houten, C.W.J. Beenakker, A.A.M. Staring, “Coulomb-blockade oscillations in semiconductor nanostructures”, in Single Charge Tunneling, ed by H. Grabert, M.H. Devoret (Plenum, New York, 1992), pp. 167–216
22.
go back to reference S. Kafanov, A. Kemppinen, Yu. A. Pashkin, M. Meschke, J.S. Tsai, J.P. Pekola , Phys. Rev. Lett. 103, 120801 (2009)CrossRef S. Kafanov, A. Kemppinen, Yu. A. Pashkin, M. Meschke, J.S. Tsai, J.P. Pekola , Phys. Rev. Lett. 103, 120801 (2009)CrossRef
23.
go back to reference D.V. Averin and K.K. Likharev, “Single electronics: a correlated transfer of single electrons and Cooper pairs in systems of small tunnel junctions”, in B.L. Altshuler. P.A. Lee, R.A. Webb, Mesoscopic phenomena in solids, (Elsevier Science, New York, NY, 1991) D.V. Averin and K.K. Likharev, “Single electronics: a correlated transfer of single electrons and Cooper pairs in systems of small tunnel junctions”, in B.L. Altshuler. P.A. Lee, R.A. Webb, Mesoscopic phenomena in solids, (Elsevier Science, New York, NY, 1991)
24.
go back to reference P.J. Koppinen, T. Kühn, I.J. Maasilta, J. Low. Temp. Phys. 154, 179 (2009)CrossRef P.J. Koppinen, T. Kühn, I.J. Maasilta, J. Low. Temp. Phys. 154, 179 (2009)CrossRef
25.
go back to reference J.P. Pekola, J.J. Vartiainen, M. Möttönen, O.-P. Saira, M. Meschke, D.V. Averin, Nature Phys. 4, 120 (2008)CrossRef J.P. Pekola, J.J. Vartiainen, M. Möttönen, O.-P. Saira, M. Meschke, D.V. Averin, Nature Phys. 4, 120 (2008)CrossRef
27.
go back to reference Y. Nakamura, A.N. Korotkov, C.D. Chen, J.S. Tsai, Phys. Reb. B 56, 5116 (1997)CrossRef Y. Nakamura, A.N. Korotkov, C.D. Chen, J.S. Tsai, Phys. Reb. B 56, 5116 (1997)CrossRef
28.
go back to reference A.J. Manninen, Yu. A. Pashkin, A.N. Korotkov, J.P. Pekola, Europhys. Lett. 39, 305 (1997)CrossRef A.J. Manninen, Yu. A. Pashkin, A.N. Korotkov, J.P. Pekola, Europhys. Lett. 39, 305 (1997)CrossRef
29.
go back to reference M.G. Blamire, E.C.G. Kirk, J.E. Evetts, T.M. Klapwijk, Phys. Rev. Lett. 66, 220 (1991)CrossRef M.G. Blamire, E.C.G. Kirk, J.E. Evetts, T.M. Klapwijk, Phys. Rev. Lett. 66, 220 (1991)CrossRef
30.
go back to reference A.J. Manninen, J.K. Suoknuuti, M.M. Leivo, J.P. Pekola, Apl. Phys. Lett. 74 3020 (1999)CrossRef A.J. Manninen, J.K. Suoknuuti, M.M. Leivo, J.P. Pekola, Apl. Phys. Lett. 74 3020 (1999)CrossRef
Metadata
Title
Electronic and Thermal Sequential Transport in Metallic and Superconducting Two-Junction Arrays
Authors
T. Kühn
G.S. Paraoanu
Copyright Year
2010
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-12070-1_5

Premium Partners