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Formation and properties of metallic atomic chains and wires

†  a, b, ‡  a,  a, §  a
a Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation
b Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences, ul. Kosygina, 4, Moscow, 119991, Russian Federation

We discuss the current state of a promising area of modern physics, the study of the physical properties of metal nanowires and atomic chains. One-dimensional nanostructures are attractive because of both the promise of their practical applications and the possibility of using them to test various theoretical models and approaches by comparing theoretical results with experimental data. We describe experimental conditions under which metal nanowires form on metal and semiconductor surfaces. We give special attention to theoretical models describing the scenario of nanowire growth on various surfaces. We analyze the main experimentally determined factors that affect the distribution of nanowire lengths. We show that the distribution of nanowire lengths on metal and semiconductor surfaces depends not only on external parameters but also on the formation time. We consider the magnetic properties of finite-length atomic chains located on the surfaces of metal and semiconductor crystals. We demonstrate a correlation among the structural, electronic, and magnetic properties of nanowires. We elucidate the effect that nanowires exert on the electronic properties of the surface on which they form. The nature of edge states is explained. The electron states of nanowire atoms are shown to be sensitive to the nanowire length. We discuss the Rashba effect for metal nanowires on a semiconductor surface and analyze how the exchange energy between atoms and the magnetic anisotropy energy affect the macroscopic characteristics of nanowires, such as their critical temperature and the time of spontaneous magnetization reversal.

Fulltext pdf (1.9 MB)
Fulltext is also available at DOI: 10.3367/UFNe.2020.06.038789
Keywords: atomic wire, metallic chain, quantum conductivity, Rashba effect, nanomagnetism, spintronics, edge state, epitaxial growth
PACS: 05.10.Ln, 61.46.−w, 68.55.A−, 68.65.−k, 73.63.Rt, 75.75.−c (all)
DOI: 10.3367/UFNe.2020.06.038789
URL: https://ufn.ru/en/articles/2021/7/b/
000702491600002
2-s2.0-85116865272
2021PhyU...64..671S
Citation: Syromyatnikov A G, Kolesnikov S V, Saletsky A M, Klavsyuk A L "Formation and properties of metallic atomic chains and wires" Phys. Usp. 64 671–701 (2021)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 10th, May 2020, revised: 11th, June 2020, 13th, June 2020

Оригинал: Сыромятников А Г, Колесников С В, Салецкий А М, Клавсюк А Л «Формирование и свойства металлических атомных цепочек и проводов» УФН 191 705–737 (2021); DOI: 10.3367/UFNr.2020.06.038789

References (232) ↓ Cited by (20) Similar articles (20)

  1. Hirjibehedin C F, Lutz C P, Heinrich A J Science 312 1021 (2006)
  2. Loth S et al Science 335 196 (2012)
  3. Fölsch S et al Phys. Rev. Lett. 92 056803 (2004)
  4. Gambardella P et al Phys. Rev. B 61 2254 (2000)
  5. Gambardella P et al Surf. Sci. 449 93 (2000)
  6. Schoiswohl J et al Phys. Rev. Lett. 97 126102 (2006)
  7. Surnev S et al ChemPhysChem. 11 2506 (2010)
  8. Zaki N et al Phys. Rev. B 80 155419 (2009)
  9. Gambardella P et al Nature 416 301 (2002)
  10. Himpsel F J, Ortega J E Phys. Rev. B 50 4992(R) (1994)
  11. Yan L et al Appl. Phys. Lett. 86 102503 (2005)
  12. Ferstl P et al Phys. Rev. Lett. 117 046101 (2016)
  13. Giovanardi C et al Phys. Rev. B 78 205416 (2008)
  14. Yeom H W et al Phys. Rev. Lett. 82 4898 (1999)
  15. Himpsel F J et al J. Phys. Condens. Matter 13 11097 (2001)
  16. Zandvliet H J W, van Houselt A, Poelsema B J. Phys. Condens. Matter 21 474207 (2009)
  17. Watanabe T et al Surf. Sci. 653 71 (2016)
  18. Zhang L et al Appl. Surf. Sci. 439 101 (2018)
  19. Stekolnikov A A et al Phys. Rev. Lett. 100 196101 (2008)
  20. Mocking T F et al Nat. Commun. 4 2387 (2013)
  21. Kabanov N S et al Appl. Surf. Sci. 404 12 (2017)
  22. Schäfer J et al Phys. Rev. Lett. 101 236802 (2008)
  23. Oncel N et al Phys. Rev. Lett. 95 116801 (2005)
  24. Schaefer J et al New J. Phys. 11 125011 (2009)
  25. Aulbach J et al Phys. Rev. Lett. 111 137203 (2013)
  26. Datta S Electronic Transport In Mesoscopic Systems (Cambridge: Cambridge Univ. Press, 1995)
  27. Klavsyuk A L, Saletskii A M Usp. Fiz. Nauk 185 1009 (2015); Klavsyuk A L, Saletsky A M Phys. Usp. 58 933 (2015)
  28. Crain J N, Pierce D T Science 307 703 (2005)
  29. Erwin S C, Himpsel F J Nat. Commun. 1 58 (2010)
  30. Park J et al Phys. Rev. Lett. 110 036801 (2013)
  31. Gambardella P et al Phys. Rev. B 73 245425 (2006)
  32. Yilmaz M B, Zimmermann F M Phys. Rev. E 71 026127 (2005)
  33. Tokar V I, Dreyssé H Phys. Rev. B 76 073402 (2007)
  34. Petrov P et al Appl. Math. Model. 35 1331 (2011)
  35. Tokar V I, Dreyssé H Phys. Rev. E 92 062407 (2015)
  36. Kocán P et al Phys. Rev. E 80 061603 (2009)
  37. Syromyatnikov A G, Saletsky A M, Klavsyuk A L Phys. Rev. B 97 235444 (2018)
  38. Syromyatnikov A G, Klavsyuk A L, Saletskii A M Pis’ma ZhETF 110 331 (2019); Syromyatnikov A G, Saletsky A M, Klavsyuk A L JETP Lett. 110 348 (2019)
  39. Syromyatnikov A G, Saletsky A M, Klavsyuk A L Surf. Sci. 693 121528 (2020)
  40. Syromyatnikov A G, Saletsky A M, Klavsyuk A L J. Magn. Magn. Mater. 510 166896 (2020)
  41. Ovesson S et al Phys. Rev. B 64 125423 (2001)
  42. Zaum C et al Phys. Rev. Lett. 114 146104 (2015)
  43. Kim S Y, Lee I H, Jun S Phys. Rev. B 76 245407 (2007)
  44. Mińkowski M, Zaluska-Kotur M A Surf. Sci. 642 22 (2015)
  45. Fichthorn K A, Scheffler M Phys. Rev. Lett. 84 5371 (2000)
  46. Kuhnke K, Kern K J. Phys. 3311 (2003)
  47. Kolesnikov S V "Issledovanie samoorganizatsii nanostruktur na poverkhnosti medi" Diss. ... kand. fiz.-mat. nauk (M.: MGU im. M.V. Lomonosova, 2010)
  48. de la Figuera J et al Appl. Phys. Lett. 66 1006 (1995)
  49. Chang H W et al J. Appl. Phys. 100 084304 (2006)
  50. Vu Q H, Morgenstern K Phys. Rev. B 95 125423 (2017)
  51. Shen J et al Phys. Rev. B 56 2340 (1997)
  52. Guo J et al Phys. Rev. B 73 193405 (2006)
  53. Prieto J E, de la Figuera J, Miranda R Phys. Rev. B 62 2126 (2000)
  54. Speller S et al Surf. Sci. 405 L542 (1998)
  55. de la Figuera J et al Surf. Sci. 307-309 538 (1994)
  56. de la Figuera J et al Phys. Rev. B 47 13043 (1993)
  57. Mo Y et al Phys. Rev. Lett. 94 155503 (2005)
  58. Negulyaev N N et al Phys. Rev. B 77 085430 (2008)
  59. Cochrane W P. Phys. Soc. 48 723 (1936)
  60. Pedersen M et al Surf. Sci. 387 86 (1997)
  61. Zaki N et al Phys. Rev. B 87 161406 (2013)
  62. Syromyatnikov A G i dr Zh. Eksp. Teor. Fiz. 151 160 (2017); Syromyatnikov A G et al J. Exp. Theor. Phys. 124 139 (2017)
  63. Syromyatnikov A G, Klavsyuk A L, Saletskii A M Pis’ma ZhETF 100 26 (2014); Syromyatnikov A G, Klavsyuk A L, Saletsky A M JETP Lett. 100 24 (2014)
  64. Ding H F et al Phys. Rev. B 76 033409 (2007)
  65. Bellisario D O et al J. Phys. Chem. C 113 12863 (2009)
  66. Syromyatnikov A, Klavsyuk A, Saletsky A IEEE Magn. Lett. 10 6111003 (2019)
  67. Röder H et al Nature 366 141 (1993)
  68. York S M, Leibsle F M Phys. Rev. B 64 033411 (2001)
  69. Wang J T et al Phys. Rev. Lett. 105 116102 (2010)
  70. Simov K R, Nolph C A, Reinke P J. Phys. Chem. C 116 1670 (2012)
  71. Liu H, Reinke P Surf. Sci. 602 986 (2008)
  72. Nolph C A, Liu H, Reinke P Surf. Sci. 605 L29 (2011)
  73. Liu H J, Owen J H G, Miki K J. Phys. Condens. Matter 24 095005 (2012)
  74. Zandvliet H J W Phys. Rep. 388 1 (2003)
  75. Oncel N, Nicholls D J. Phys. Condens. Matter 25 014010 (2012)
  76. Hamers R J, Tromp R M, Demuth J E Phys. Rev. B 34 5343 (1986)
  77. Li Y et al Phys. Rev. B 56 12539 (1997)
  78. Ferrando R, Hontinfinde F, Levi A C Phys. Rev. B 56 R4406 (1997)
  79. Stepanyuk O V et al Phys. Rev. B 78 113406 (2008)
  80. Stepanyuk O V et al Phys. Rev. B 79 155410 (2009)
  81. Mottet C et al Surf. Sci. 417 220 (1998)
  82. Amar J G, Popescu M N, Family F Phys. Rev. Lett. 86 3092 (2001)
  83. Syromyatnikov A G, Klavsyuk A L, Saletskii A M Pis’ma ZhETF 107 794 (2018); Syromyatnikov A G, Saletsky A M, Klavsyuk A L JETP Lett. 107 766 (2018)
  84. Ramadan A, Picaud F, Ramseyer C Surf. Sci. 604 1576 (2010)
  85. Tokar V I, Dreyssé H Surf. Sci. 637-638 116 (2015)
  86. Albao M A et al Phys. Rev. B 72 035426 (2005)
  87. Stinchcombe R B, Aarão Reis F D A Phys. Rev. B 77 035406 (2008)
  88. Shi F, Shim Y, Amar J G Phys. Rev. E 79 011602 (2009)
  89. Javorský J et al Phys. Rev. B 79 165424 (2009)
  90. Albia J R, Albao M A Phys. Rev. E 95 042802 (2017)
  91. González D L, Camargo M, Sánchez J A Phys. Rev. E 97 052802 (2018)
  92. Brune H Surf. Sci. Rep. 31 125 (1998)
  93. Evans J W, Thiel P A, Bartelt M C Surf. Sci. Rep. 61 1 (2006)
  94. Dieterich W, Einax M, Maass P Eur. Phys. J. Special Topics 161 151 (2008)
  95. Einax M, Dieterich W, Maass P Rev. Mod. Phys. 85 921 (2013)
  96. Vicsek T, Family F Phys. Rev. Lett. 52 1669 (1984)
  97. Bartelt M C et al Phys. Rev. Lett. 81 1901 (1998)
  98. Bartelt M C et al Phys. Rev. B 59 3125 (1999)
  99. Bartelt M C, Evans J W Phys. Rev. B 54 R17359 (1996)
  100. Venables J A Philos. Mag. 27 697 (1973)
  101. Venables J A, Spiller G D T, Hanbucken M Rep. Prog. Phys. 47 399 (1984)
  102. Stoyanov S, Kashchiev D Current Topics Mater. Sci. 7 69 (1981)
  103. Walton D J. Chem. Phys. 37 2182 (1962)
  104. Li M, Bartelt M C, Evans J W Phys. Rev. B 68 121401 (2003)
  105. Li M, Evans J W Surf. Sci. 546 127 (2003)
  106. Li M, Evans J W Multiscale Model. Simul. 3 629 (2005)
  107. Dubrovskii V G, Berdnikov Yu S, Sokolova Zh V Pis’ma ZhTF 41 (5) 74 (2015); Dubrovskii V G, Berdnikov Yu S, Sokolova Zh V Tech. Phys. Lett. 41 242 (2015)
  108. Dubrovskii V G, Sibirev N V Phys. Rev. E 91 042408 (2015)
  109. Evans J W, Bartelt M C Phys. Rev. B 63 235408 (2001)
  110. Körner M, Einax M, Maass P Phys. Rev. B 86 085403 (2012)
  111. Gibou F G et al Phys. Rev. B 63 115401 (2001)
  112. Gibou F, Ratsch C, Caflisch R Phys. Rev. B 67 155403 (2003)
  113. Dubrovskii V G Nucleation Theory And Growth Of Nanostructures (Berlin: Springer-Verlag, 2014)
  114. Berdnikov Y, Dubrovskii V G J. Phys. Conf. Ser. 541 012089 (2014)
  115. Tokar V I, Dreyssé H Phys. Rev. B 74 115414 (2006)
  116. Amar J G, Popescu M N Phys. Rev. B 69 033401 (2004)
  117. Brune H et al Phys. Rev. B 60 5991 (1999)
  118. Han Y et al Phys. Rev. B 87 155420 (2013)
  119. Hamers R J, Köhler U K J. Vac. Sci. Technol. A 7 2854 (1989)
  120. Vanpoucke D E P J. Phys. Condens. Matter 26 133001 (2014)
  121. Lukanov B R et al Phys. Rev. B 89 155319 (2014)
  122. Owen J H G et al Phys. Rev. Lett. 88 226104 (2002)
  123. Vanpoucke D E P, Brocks G Phys. Rev. B 81 085410 (2010)
  124. Song I et al New J. Phys. 11 063034 (2009)
  125. Koczorowski W et al Phys. Rev. B 91 235319 (2015)
  126. Schwingenschlögl U, Schuster C Eur. Phys. J. B 60 409 (2007)
  127. Gurlu O et al Phys. Rev. B 70 085312 (2004)
  128. Pick V et al J. Phys. Condens. Matter 19 446001 (2007)
  129. Syromyatnikov A G et al Mater. Lett. 179 69 (2016)
  130. Kon V Usp. Fiz. Nauk 172 336 (2002); Kohn W Rev. Mod. Phys. 71 1253 (1999)
  131. Zaki N et al Phys. Rev. B 89 205427 (2014)
  132. Kolesnikov S V, Klavsyuk A L, Saletsky A M Surf. Sci. 612 48 (2013)
  133. Schüler M et al New J. Phys. 19 073016 (2017)
  134. Néel N et al Phys. Rev. Lett. 107 106804 (2011)
  135. Hansen O et al Phys. Rev. Lett. 81 5572 (1998)
  136. Binnig G, Rorer G Usp. Fiz. Nauk 154 261 (1988); Binnig G, Rohrer H Angew. Chem. Int. Ed. Engl. 26 606 (1987)
  137. Metropolis N et al J. Chem. Phys. 21 1087 (1953)
  138. Ising E Z. Phys. 31 253 (1925)
  139. Limot L et al Phys. Rev. Lett. 94 036805 (2005)
  140. Sánchez O et al Phys. Rev. B 52 7894 (1995)
  141. Hansmann M et al Phys. Rev. B 67 121409 (2003)
  142. Ignatiev P A et al Phys. Rev. B 75 155428 (2007)
  143. Shiraki S et al Phys. Rev. Lett. 92 096102 (2004)
  144. Olsson F E et al Phys. Rev. Lett. 93 206803 (2004)
  145. Davydov S Yu, Troshin S V Fiz. Tverd. Tela 49 1508 (2007); Davydov S Yu, Troshin S V Phys. Solid State 49 1583 (2007)
  146. Anderson P W Phys. Rev. 124 41 (1961)
  147. Newns D M Phys. Rev. 178 1123 (1969)
  148. Borisov A G, Kazansky A K, Gauyacq J P Phys. Rev. B 59 10935 (1999)
  149. Li J et al Phys. Rev. Lett. 81 4464 (1998)
  150. Stepanyuk V S et al Phys. Rev. B 72 153407 (2005)
  151. Lazarovits B, Szunyogh L, Weinberger P Phys. Rev. B 73 045430 (2006)
  152. Lounis S et al Phys. Rev. B 73 195421 (2006)
  153. Nilius N, Wallis T M, Ho W Science 297 1853 (2002)
  154. Rashba E I Fiz. Tverd. Tela 2 1224 (1960)
  155. Bychkov Yu A, Rashba E I Pis’ma ZhETF 39 66 (1984); Bychkov Yu A, Rashba E I JETP Lett. 39 78 (1984)
  156. Bychkov Y A, Rashba E I J. Phys. C 17 6039 (1984)
  157. Dolcini F, Rossi F Phys. Rev. B 98 045436 (2018)
  158. Wójcik P et al J. Appl. Phys. 115 104310 (2014)
  159. Nitta J et al Phys. Rev. Lett. 78 1335 (1997)
  160. Barke I et al Phys. Rev. Lett. 97 226405 (2006)
  161. Kopciuszyński M et al Sci. Rep. 7 46215 (2017)
  162. Nakamura T et al Phys. Rev. B 98 075431 (2018)
  163. Takayama A et al Phys. Rev. Lett. 114 066402 (2015)
  164. Governale M, Zülicke U Phys. Rev. B 66 073311 (2002)
  165. Yoh K et al 70th Device Research Conf., IEEE2012
  166. Landauer R Philos. Mag. 21 863 (1970)
  167. Büttiker M Phys. Rev. Lett. 57 1761 (1986)
  168. Koeik Z, Sakr M R Physica E 74 527 (2015)
  169. Sander D J. Phys. Condens. Matter 16 R603 (2004)
  170. Enders A, Skomski R, Honolka J J. Phys. Condens. Matter 22 433001 (2010)
  171. Wang H et al Nano 06 (01) 1 (2011)
  172. Barth J V, Costantini G, Kern K Nature 437 671 (2005)
  173. Gambardella P Science 300 1130 (2003)
  174. Brune H, Gambardella P Surf. Sci. 603 1812 (2009)
  175. Balashov T et al Phys. Rev. Lett. 102 257203 (2009)
  176. Bansmann J et al Surf. Sci. Rep. 56 189 (2005)
  177. Shen J et al J. Phys. Condens. Matter 15 R1 (2002)
  178. Gambardella P et al Phys. Rev. Lett. 93 077203 (2004)
  179. Dupé B et al New J. Phys. 17 023014 (2015)
  180. Otte F, Ferriani P, Heinze S Phys. Rev. B 89 205426 (2014)
  181. Félix-Medina R, Dorantes-Dávila J, Pastor G M New J. Phys. 4 100 (2002)
  182. Martins M, Wurth W J. Phys. Condens. Matter 28 503002 (2016)
  183. Pick S et al Phys. Rev. B 70 224419 (2004)
  184. Klavsyuk A L, Kolesnikov S V, Saletskii A M Pis’ma ZhETF 99 750 (2014); Klavsyuk A L, Kolesnikov S V, Saletsky A M JETP Lett. 99 646 (2014)
  185. Gomonay O et al Nat. Phys. 14 213 (2018)
  186. Baltz V et al Rev. Mod. Phys. 90 015005 (2018)
  187. Gomonay E V, Loktev V M Low Temp. Phys. 40 17 (2014)
  188. Jungwirth T et al Nat. Nanotechnol. 11 231 (2016)
  189. Yan S et al Nat. Nanotechnol. 10 40 (2014)
  190. Etzkorn M et al Phys. Rev. B 92 184406 (2015)
  191. Ferrón A, Lado J L, Fernández-Rossier J Phys. Rev. B 92 174407 (2015)
  192. Choi D J et al Phys. Rev. B 94 085406 (2016)
  193. Urdaniz M C, Barral M A, Llois A M Phys. Rev. B 86 245416 (2012)
  194. Tao K et al Phys. Chem. Chem. Phys. 17 26302 (2015)
  195. Urdaniz M C et al Phys. Rev. B 90 195423 (2014)
  196. Udvardi L et al Phys. Rev. B 68 104436 (2003)
  197. Hermenau J et al Nat. Commun. 10 2565 (2019)
  198. Dzyaloshinsky I J. Phys. Chem. Solids 4 241 (1958)
  199. Moriya T Phys. Rev. 120 91 (1960)
  200. Menzel M et al Phys. Rev. Lett. 108 197204 (2012)
  201. Schweflinghaus B et al Phys. Rev. B 94 024403 (2016)
  202. Tao K, Polyakov O P, Stepanyuk V S Phys. Rev. B 93 161412 (2016)
  203. Ebert H, Ködderitzsch D, Minár J Rep. Prog. Phys. 74 096501 (2011)
  204. Lazarovits B et al Phys. Rev. B 68 024433 (2003)
  205. Bruno P Phys. Rev. B 39 865 (1989)
  206. Mermin N D, Wagner H Phys. Rev. Lett. 17 1133 (1966)
  207. Choi D J et al Rev. Mod. Phys. 91 041001 (2019)
  208. Bose S Phys. Rev. Lett. 91 207901 (2003)
  209. Verma H et al Europhys. Lett. 119 30001 (2017)
  210. Barabanenkov Yu N, Nikitov S A, Barabanenkov M Yu Usp. Fiz. Nauk 189 85 (2019); Barabanenkov Yu N, Nikitov S A, Barabanenkov M Yu Phys. Usp. 62 82 (2019)
  211. Gauyacq J P, Lorente N J. Phys. Condens. Matter 27 455301 (2015)
  212. Bryant B et al Phys. Rev. Lett. 111 127203 (2013)
  213. Cohen-Tannoudji C, Dupont-Roc J, Grynberg G Atom-Photon Interactions : Basic Process And Applications (New York: Wiley, 1998)
  214. Shishkov V Yu i dr Usp. Fiz. Nauk 189 544 (2019); Shishkov V Yu et al Phys. Usp. 62 510 (2019)
  215. Gauyacq J P, Lorente N Surf. Sci. 630 325 (2014)
  216. Landau L, Lifshitz E Perspectives In Theoretical Physics: The Collected Papers Of E.M. Lifshitz (Ed. L P Pitaevskii) (Oxford: Pergamon Press, 1992) p. 51-65
  217. Lifshits E M, Pitaevskii L P Statisticheskaya Fizika Ch. 2 Teoriya Kondensirovannogo Sostoyaniya (M.: Fizmatlit, 2004); Per. na angl. yaz., Lifshitz E M, Pitaevskii L P Statistical Physics Vol. 2 Theory Of The Condensed State (Oxford: Butterworth-Heinemann, 1980)
  218. Li Y, Liu B G Phys. Rev. B 73 174418 (2006)
  219. Glauber R J J. Math. Phys. 4 294 (1963)
  220. Li J, Liu B G J. Magn. Magn. Mater. 378 186 (2015)
  221. Smirnov A S et al New J. Phys. 11 063004 (2009)
  222. Li Y, Liu B G Phys. Rev. Lett. 96 217201 (2006)
  223. He L, Kong D, Chen C J. Phys. Condens. Matter 19 446207 (2007)
  224. Tsysar K M, Kolesnikov S V, Saletsky A M Chinese Phys. B 24 097302 (2015)
  225. Kolesnikov S V, Tsysar’ K M, Saletskii A M Fiz. Tverd. Tela 57 1492 (2015); Kolesnikov S V, Tsysar K M, Saletsky A M Phys. Solid State 57 1513 (2015)
  226. Tsysar K M et al Mod. Phys. Lett. B 31 1750142 (2017)
  227. Kolesnikov S V Pis’ma ZhETF 103 668 (2016); Kolesnikov S V JETP Lett. 103 588 (2016)
  228. Kolesnikov S V, Kolesnikova I N Zh. Eksp. Teor. Fiz. 152 759 (2017); Kolesnikov S V, Kolesnikova I N J. Exp. Theor. Phys. 125 644 (2017)
  229. Puchala B, Falk M L, Garikipati K J. Chem. Phys. 132 134104 (2010)
  230. Kolesnikov S V i dr Matem. Modelirovanie 30 (2) 48 (2018)
  231. Kolesnikov S V, Kolesnikova I N IEEE Magn. Lett. 10 2509105 (2019)
  232. Kolesnikov S V, Kolesnikova I N Phys. Rev. B 100 224424 (2019)
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