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Scattering matrix approach to the description of quantum electron transport

 a,  b
a Landau Institute for Theoretical Physics, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation
b Rutgers, The State University of New Jersey, 542 George Street, New Brunswick, NJ, 08901, USA

We consider the scattering matrix approach to quantum electron transport in meso- and nanoconductors. This approach is an alternative to the more conventional kinetic equation and Green’s function approaches, and is often more efficient for coherent conductors (especially when proving general relations) and typically more transparent. We provide a description of both time-averaged quantities (for example, current—voltage characteristics) and current fluctuations in time — noise, as well as full counting statistics of charge transport in a finite time. In addition to normal conductors, we consider contacts with superconductors and Josephson junctions.

Fulltext pdf (908 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0181.201110b.1041
Keywords: mesoscopics, scattering matrix, quantum contact, transport
PACS: 72.10.−d, 73.23.−b, 73.50.Td, 74.25.F−, 74.45.+c, 74.78.Na (all)
DOI: 10.3367/UFNe.0181.201110b.1041
URL: https://ufn.ru/en/articles/2011/10/b/
000299541300002
2-s2.0-84855982483
2011PhyU...54.1007L
Citation: Lesovik G B, Sadovskyy I A "Scattering matrix approach to the description of quantum electron transport" Phys. Usp. 54 1007–1059 (2011)
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Received: 12th, December 2010, 22nd, December 2010

Оригинал: Лесовик Г Б, Садовский И А «Описание квантового электронного транспорта с помощью матриц рассеяния» УФН 181 1041–1096 (2011); DOI: 10.3367/UFNr.0181.201110b.1041

References (280) Cited by (89) ↓ Similar articles (20)

  1. ND Zhukov IgMin Res 2 406 (2024)
  2. Bartecki K Journal Of The Franklin Institute 361 106888 (2024)
  3. Sergeyev D, Shunkeyev K, Solovjov A L 50 976 (2024)
  4. Ronetti F, Bertin-Johannet B et al 34 (4) (2024)
  5. Park G-H, Lee W et al Phys. Rev. Lett. 132 (22) (2024)
  6. Nikolai D Zh IgMin Res 1 175 (2023)
  7. Jin T, Ferreira J et al Phys. Rev. Research 5 (1) (2023)
  8. Lacerda A M, Purkayastha A et al Phys. Rev. B 107 (19) (2023)
  9. Blasi G, Giazotto F, Haack G Quantum Sci. Technol. 8 015023 (2023)
  10. Tsurikov D E Appl. Phys. A 128 (1) (2022)
  11. Lobanov A D, Lobanova A D, Pupasov-Maksimov A M J. Phys.: Condens. Matter 34 325602 (2022)
  12. Das G D, Maiti S K Phys. Rev. B 106 (12) (2022)
  13. Maiani A, Geier M, Flensberg K Phys. Rev. B 106 (10) (2022)
  14. Pervishko A A, Yudin D I Uspekhi Fizicheskikh Nauk 192 233 (2022) [Pervishko A A, Yudin D I Phys.-Usp. 65 215 (2022)]
  15. Setiawan F, Hofmann J Phys. Rev. Research 4 (4) (2022)
  16. Potanina E, Flindt Ch et al Phys. Rev. X 11 (2) (2021)
  17. Cayao J, Burset P Phys. Rev. B 104 (13) (2021)
  18. Gamayun O, Slobodeniuk A et al Phys. Rev. B 103 (4) (2021)
  19. Haack G, Giazotto F 3 (4) (2021)
  20. Bułka B R Phys. Rev. B 104 (15) (2021)
  21. Bartecki K Energies 14 4174 (2021)
  22. Kobiałka A, Sedlmayr N, Ptok A Phys. Rev. B 103 (12) (2021)
  23. Christian G D Frontiers Of Nanoscience Vol. Semiconductor NanodevicesNoise measurements in semiconductor nanodevices20 (2021) p. 147
  24. Terasawa D, Norimoto S et al Phys. Rev. B 101 (11) (2020)
  25. Amusia M, Shaginyan V Springer Tracts In Modern Physics Vol. Strongly Correlated Fermi SystemsViolation of the Wiedemann-Franz Law in Strongly Correlated Electron Systems283 Chapter 20 (2020) p. 301
  26. Khandelwal Sh, Palazzo N et al New J. Phys. 22 073039 (2020)
  27. Jin T, Filippone M, Giamarchi T Phys. Rev. B 102 (20) (2020)
  28. Useinov A, Lin H-H et al Journal Of Magnetism And Magnetic Materials 508 166729 (2020)
  29. Barbier M, Gaspard P Phys. Rev. E 102 (2) (2020)
  30. Pashinsky B V, Goldstein M, Burmistrov I S Phys. Rev. B 102 (12) (2020)
  31. Ptok A, Alspaugh D J et al Phys. Rev. B 102 (24) (2020)
  32. Adak V, Roychowdhury K, Das S Phys. Rev. B 102 (3) (2020)
  33. Brandner K 75 483 (2020)
  34. Patra M, Maiti S K Phys. Rev. B 100 (16) (2019)
  35. Kirsanov N  S, Tan Z  B et al Phys. Rev. B 99 (11) (2019)
  36. Bułka B R, Łuczak Ja Entropy 21 527 (2019)
  37. Pershoguba S S, Glazman L I Phys. Rev. B 99 (13) (2019)
  38. Kurilovich P D, Kurilovich V D et al Phys. Rev. Lett. 123 (5) (2019)
  39. Haim A, Oreg Yu Physics Reports 825 1 (2019)
  40. Elo T, Tan Zh et al Phys. Rev. B 100 (23) (2019)
  41. Alase A Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter Springer Theses Chapter 3 (2019) p. 65
  42. Tsurikov D E, Yafyasov A M J Comput Electron 18 1017 (2019)
  43. Filippone M, Bardyn Ch-E et al Phys. Rev. Lett. 123 (8) (2019)
  44. Yin Y J. Phys.: Condens. Matter 31 245301 (2019)
  45. Barbier M, Gaspard P J. Phys. A: Math. Theor. 52 025003 (2019)
  46. Burset P, Kotilahti Ja et al Adv Quantum Tech 2 (3-4) (2019)
  47. Tan Z B, Elo T et al Sci Rep 8 (1) (2018)
  48. Cobanera E, Alase A et al Phys. Rev. B 98 (24) (2018)
  49. Poklonski N A, Vyrko S A, Dzeraviaha A N Semiconductors 52 692 (2018)
  50. Barbier M, Gaspard P J. Phys. A: Math. Theor. 51 355001 (2018)
  51. van Heck B, Väyrynen J I, Glazman L I Phys. Rev. B 96 (7) (2017)
  52. Demin G D, Popkov A F Jetp Lett. 106 821 (2017)
  53. Lv P, Guo A-M et al Phys. Rev. B 95 (10) (2017)
  54. Nakata K, Simon P, Loss D J. Phys. D: Appl. Phys. 50 114004 (2017)
  55. Shuba M V, Melnikov A V et al Phys. Rev. B 96 (20) (2017)
  56. Kerimi M B Semiconductors 51 1052 (2017)
  57. Shaternik V E, Shapovalov A P et al IEEE Trans. Appl. Supercond. 27 1 (2017)
  58. Sánchez R, Sothmann B, Jordan A N Physica E: Low-dimensional Systems And Nanostructures 82 359 (2016)
  59. Albert M, Chevallier D, Devillard P Physica E: Low-dimensional Systems And Nanostructures 76 209 (2016)
  60. Lebedev A V, Lesovik G B, Blatter G Phys. Rev. B 93 (11) (2016)
  61. Altimiras C, Portier F, Joyez P Phys. Rev. X 6 (3) (2016)
  62. Oehri D, Lebedev A V et al Phys. Rev. B 93 (4) (2016)
  63. Sánchez R, Sothmann B, Jordan A N Physica E: Low-dimensional Systems And Nanostructures 75 86 (2016)
  64. Mintchev M, Santoni L, Sorba P J. Phys. A: Math. Theor. 49 265002 (2016)
  65. Albert M, Chevallier D, Devillard P Physica E: Low-dimensional Systems And Nanostructures 82 85 (2016)
  66. Sergeyev D M Russ Phys J 59 456 (2016)
  67. Sadovskyy I A, Lesovik G B, Vinokur V M New J. Phys. 17 103016 (2015)
  68. Mintchev M, Santoni L, Sorba P J. Phys. A: Math. Theor. 48 285002 (2015)
  69. Sadovskyy I A Uspekhi Fizicheskikh Nauk 185 941 (2015) [Sadovskyy I A Phys.-Usp. 58 872 (2015)]
  70. Sadovskyy I A Uspekhi Fizicheskikh Nauk 185 941 (2015) [Klavsyuk A L, Saletsky A M Phys.-Usp. 58 933 (2015)]
  71. Kanzieper E Constr Approx 41 615 (2015)
  72. Klavsyuk A L, Saletsky A M Uspekhi Fizicheskikh Nauk 185 1009 (2015)
  73. Amusia M Ya, Popov K G et al Springer Series In Solid-State Sciences Vol. Theory of Heavy-Fermion CompoundsViolation of the Wiedemann-Franz Law in HF Metals182 Chapter 14 (2015) p. 251
  74. Tan Z  B, Cox D et al Phys. Rev. Lett. 114 (9) (2015)
  75. Komnik A, Langhanke G W Phys. Rev. B 90 (16) (2014)
  76. Wolf G V, Chuburin Yu P Physics Letters A 378 2211 (2014)
  77. Klapwijk T M, Ryabchun S A J. Exp. Theor. Phys. 119 997 (2014)
  78. Oehri D, Lebedev A V et al Phys. Rev. B 90 (7) (2014)
  79. Haack G, Albert M, Flindt Ch Phys. Rev. B 90 (20) (2014)
  80. Albert M, Devillard P Phys. Rev. B 90 (3) (2014)
  81. Danilovskii E Yu, Bagraev N T Semiconductors 48 1636 (2014)
  82. Gaspard P New J. Phys. 15 115014 (2013)
  83. POKLONSKI N A, VLASSOV A T et al Physics, Chemistry and Applications of Nanostructures, (2013) p. 36
  84. Beaud V, Graf G M et al J Stat Phys 153 177 (2013)
  85. Ivanov D A, Abanov A G Phys. Rev. E 87 (2) (2013)
  86. Chuburin Yu P, Wolf G V Physica E: Low-dimensional Systems And Nanostructures 54 331 (2013)
  87. Bulnes C G, Esposito M et al Phys. Rev. B 88 (11) (2013)
  88. Albert M, Haack G et al Phys. Rev. Lett. 108 (18) (2012)
  89. Oehri D, Lebedev A V et al Phys. Rev. B 86 (12) (2012)
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