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Electronic, Magnetic and Optical Properties of Quantum Rings in Novel Systems

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Physics of Quantum Rings

Part of the book series: NanoScience and Technology ((NANO))

Abstract

In the past few decades, major advances in nanofabrication techniques have resulted in the creation of tunable few-electron nanoscale quantum rings with unique topology and the energy spectrum. These rings display many remarkable effects in magnetotransport and optical spectroscopy that were predicted earlier in theoretical studies. Having external control over the size and the number of electrons in such a ring offers intriguing possibilities to study the interplay between the confinement and the electron-electron interaction. Here we review the physics of quantum rings in a few novel situations and unravel some new physical phenomena involving these rings that go beyond our current understandings of physics derived from conventional nanoscale quantum rings.

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References

  1. Y. Aharonov, D. Bohm, Phys. Rev. 115, 485 (1959)

    Article  ADS  MathSciNet  Google Scholar 

  2. M. Büttiker, Y. Imry, R. Landauer, Phys. Lett. A 96, 365 (1983)

    Article  ADS  Google Scholar 

  3. A. Lorke et al., Phys. Rev. Lett. 84, 2223 (2000)

    Article  ADS  Google Scholar 

  4. U.F. Keyser, C. Fühner, S. Borck, R.J. Haug, M. Bichler, G. Abstreiter, W. Wegscheider, Phys. Rev. Lett. 90, 196601 (2003)

    Article  ADS  Google Scholar 

  5. A. Fuhrer, S. Lüscher, T. Ihn, T. Heinzel, K. Ensslin, W. Wegscheider, M. Bichler, Nature 413, 822 (2001)

    Article  ADS  Google Scholar 

  6. T. Chakraborty, Adv. Solid State Phys. 43, 79 (2003)

    Article  Google Scholar 

  7. S. Viefers, P. Koskinen, P. Singha Deo, M. Manninen, Physica E 21, 1 (2004); P. Pietiläinen, T. Chakraborty, Solid State Commun. 87, 809 (1993); T. Chakraborty, P. Pietiläinen. Phys. Rev. B 50, 8460 (1994)

    Google Scholar 

  8. K. Niemelä, P. Pietiläinen, P. Hyvönen, T. Chakraborty, EPL 36, 533 (1996)

    Article  ADS  Google Scholar 

  9. H.-Y. Chen, P. Pietiläinen, T. Chakraborty, Phys. Rev. B 78, 073407 (2008)

    Article  ADS  Google Scholar 

  10. G. Huang, W. Guo, P. Bhattacharya, G. Ariyawansa, A.G.U. Perera, Appl. Phys. Lett. 94, 101115 (2009)

    Article  ADS  Google Scholar 

  11. J. Wu, Z.M. Wang, V.G. Dorogan, S. Li, Z. Zhou, H. Li, J. Lee, E.S. Kim, Y.I. Mazur, G.J. Salamo, Appl. Phys. Lett. 101, 043904 (2012)

    Article  ADS  Google Scholar 

  12. R.J. Young, E.P. Smakman, A.M. Sanchez, P. Hodgson, P.M. Koenraad, M. Hayne, Appl. Phys. Lett. 100, 082104 (2012)

    Article  ADS  Google Scholar 

  13. R.J. Warburton, C. Schäflein, D. Haft, F. Bickel, A. Lorke, K. Karrai, J.M. Garcia, W. Schoenfeld, P.M. Petroff, Nature 405, 926 (2000)

    Article  ADS  Google Scholar 

  14. M. Abbarchi, C. Mastrandrea, A. Vinattieri, S. Sanguinetti, T. Mano, T. Kuroda, N. Koguchi, K. Sakoda, M. Gurioli, Phys. Rev. B 79, 085308 (2009)

    Article  ADS  Google Scholar 

  15. T. Chakraborty, Quantum Dots (Elsevier, Amsterdam, 1999)

    Book  Google Scholar 

  16. A. Tsukazaki, A. Ohtomo, T. Kita, Y. Ohno, H. Ohno, M. Kawasaki, Science 315, 1388 (2007)

    Article  ADS  Google Scholar 

  17. A. Tsukazaki, S. Akasaka, K. Nakahara, Y. Ohno, H. Ohno, D. Maryenko, A. Ohtomo, M. Kawasaki, Nat. Mater. 9, 889 (2010)

    Article  ADS  Google Scholar 

  18. J. Mannhart, D.H.A. Blank, H.Y. Hwang, A.J. Millis, J.-M. Triscone, MRS Bull. 33, 1027 (2008)

    Article  Google Scholar 

  19. J. Mannhart, D.G. Schlom, Science 327, 1607 (2010)

    Article  ADS  Google Scholar 

  20. H.Y. Hwang, Y. Iwasa, M. Kawasaki, B. Keimer, N. Nagaosa, Y. Tokura, Nat. Mater. 11, 103 (2012)

    Article  ADS  Google Scholar 

  21. Y. Kozuka, A. Tsukazaki, M. Kawasaki, Appl. Phys. Rev. 1, 011303 (2014)

    Article  ADS  Google Scholar 

  22. J. Falson, D. Maryenko, B. Friess, D. Zhang, Y. Kozuka, A. Tsukazaki, J.H. Smet, M. Kawasaki, Nat. Phys. 11, 347 (2015)

    Article  Google Scholar 

  23. W. Luo, T. Chakraborty, Phys. Rev. B 93, 161103(R) (2016)

    Article  ADS  Google Scholar 

  24. T. Chakraborty, P. Pietiläinen, Phys. Rev. B 39, 7971 (1989); V. Halonen, P. Pietiläinen, T. Chakraborty. Phys. Rev. B 41, 10202 (1990)

    Google Scholar 

  25. W. Luo, T. Chakraborty, Phys. Rev. B 96, 081108(R) (2016)

    Article  ADS  Google Scholar 

  26. Z.L. Wang, Mater. Today 7, 26 (2004)

    Article  Google Scholar 

  27. J.G. Lu, Z.Z. Ye, Y.Z. Zhang, Q.L. Liang, Sz Fujita, Z.L. Wang, Appl. Phys. Lett. 89, 023122 (2006)

    Article  ADS  Google Scholar 

  28. T. Chakraborty, A.Kh. Manaselyan, M.G. Barseghyan, J. Phys.: Condens. Matt. 29, 215301 (2017)

    Google Scholar 

  29. S. Adachi, Handbook on Physical Properties of Semiconductors, vol. 3 (Kluwer Academic Publishers, New York, 2004)

    Google Scholar 

  30. T. Chakraborty, P. Pietiläinen, Phys. Rev. Lett. 95, 136603 (2005); P. Pietiläinen, T. Chakraborty. Phys. Rev. B 73, 155315 (2006)

    Google Scholar 

  31. A. Ghazaryan, A.Kh. Manaselyan, T. Chakraborty, Physica E 66, 157 (2015)

    Google Scholar 

  32. T. Chakraborty, A.Kh. Manaselyan, M.G. Barseghyan, J. Phys.: Condens. Matt. 29, 075605 (2017)

    Google Scholar 

  33. V. Halonen, P. Pietiläinen, T. Chakraborty, EPL 33, 377 (1996)

    Article  ADS  Google Scholar 

  34. L. Meier, A. Fuhrer, T. Ihn, K. Ensslin, W. Wegscheider, M. Bichler, Phys. Rev. B 69, 241302(R) (2004)

    Article  ADS  Google Scholar 

  35. S. Kiravittaya, A. Rastelli, O.G. Schmidt, Rep. Prog. Phys. 72, 046502 (2009)

    Article  ADS  Google Scholar 

  36. S. Somaschini, S. Bietti, N. Koguchi, S. Sanguinetti, Nanotechnology 22, 185602 (2011)

    Article  ADS  Google Scholar 

  37. R. Capozza, D. Giuliano, P. Lucignano, A. Tagliacozzo, Phys. Rev. Lett. 95, 226803 (2005)

    Article  ADS  Google Scholar 

  38. Y. Saiga, D. Hirashima, J. Usukura, Phys. Rev. B 75, 045343 (2007)

    Article  ADS  Google Scholar 

  39. L. Dias da Silva, J. Villas-Bôas, S. Ulloa, Phys. Rev. B 76, 155306 (2007)

    Article  ADS  Google Scholar 

  40. B. Szafran, F.M. Peeters, S. Bednarek, Phys. Rev. B 70, 125310 (2004)

    Article  ADS  Google Scholar 

  41. E. Zipper, M. Kurpas, M.M. Maśka, New J. Phys. 14, 093029 (2012)

    Article  ADS  Google Scholar 

  42. A. Biborski, A.P. Ka̧dzielawa, A. Gorczyca-Goraj, E. Zipper, M.M. Maśka, J. Spałek, Sci. Rep. 6, 29887 (2016)

    Article  ADS  Google Scholar 

  43. M. Kurpas, B. Kȩdzierska, I. Janus-Zygmunt, M.M. Maśka, E. Zipper, Acta. Phys. Pol. A 126, A-20 (2014)

    Article  Google Scholar 

  44. M. Kurpas, B. Kȩdzierska, I. Janus-Zygmunt, A. Gorczyca-Goraj, E. Wach, E. Zipper, M.M. Maśka, J. Phys.: Condens. Matter 27, 265801 (2015)

    ADS  Google Scholar 

  45. M.G. Barseghyan, Physica E 69, 219 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  46. M.G. Barseghyan, H.M. Baghramyan, D. Laroze, J. Bragard, A.A. Kirakosyan, Physica E 74, 421 (2015)

    Article  ADS  Google Scholar 

  47. M.G. Barseghyan, A.Kh Manaselyan, D. Laroze, A.A. Kirakosyan, Physica E 81, 31 (2016)

    Google Scholar 

  48. V.M. Fomin (ed.), Physics of Quantum Rings (Springer, Berlin, 2014)

    Google Scholar 

  49. R. Blossey, A. Lorke, Phys. Rev. E 65, 021603 (2002)

    Article  ADS  Google Scholar 

  50. P. Offermans, P.M. Koenraad, J.H. Wolter, D. Granados, J.M. Garcia, V.M. Fomin, V.N. Gladilin, J.T. Devreese, Appl. Phys. Lett. 87, 131902 (2005)

    Article  ADS  Google Scholar 

  51. N.A.J.M. Kleemans, I.M.A. Bominaar-Silkens, V.M. Fomin, V.N. Gladilin, D. Granados, A.G. Taboada, J.M. García, P. Offermans, U. Zeitler, P.C.M. Christianen, J.C. Maan, J.T. Devreese, P.M. Koenraad, Phys. Rev. Lett. 99, 146808 (2007)

    Article  ADS  Google Scholar 

  52. J. Wu, Z.M. Wang, K. Holmes, E. Marega Jr., Z. Zhou, H. Li, Y.I. Mazur, G.J. Salamo, Appl. Phys. Lett. 100, 203117 (2012)

    Article  ADS  Google Scholar 

  53. T. Raz, D. Ritter, G. Bahir, Appl. Phys. Lett. 82, 1706 (2003)

    Article  ADS  Google Scholar 

  54. J. Sormunen, J. Riikonen, M. Mattila, J. Tiilikainen, M. Sopanen, H. Lipsanen, Nano. Lett. 5, 1541 (2005)

    Article  ADS  Google Scholar 

  55. L. Wendler, V.M. Fomin, Phys. Rev. B 50, 4642 (1994)

    Article  ADS  Google Scholar 

  56. L. Wendler, V.M. Fomin, Phys. Stat. Sol. (b) 191, 409 (1995)

    Article  ADS  Google Scholar 

  57. V.M. Fomin, V.N. Gladilin, S.N. Klimin, J.T. Devreese, N.A.J.M. Kleemans, P.M. Koenraad, Phys. Rev. B 76, 235320 (2007)

    Article  ADS  Google Scholar 

  58. J. Planeles, F. Rajadell, J.I. Climente, Nanotechnology 1(8), 375402 (2007)

    Article  Google Scholar 

  59. G.A. Farias, M.H. Degani, J.A.K. Freire, J. Costa e Silva, R. Ferreira, Phys. Rev. B 77, 085316 (2008)

    Article  ADS  Google Scholar 

  60. M.M. Milošević, M. Tadić, F.M. Peeters, Nanotechnology 19, 455401 (2008)

    Article  ADS  Google Scholar 

  61. A. Ghazaryan, A.Kh. Manaselyan, T. Chakraborty, Phys. Rev. B 93, 245108 (2016)

    Google Scholar 

  62. G.O. de Sousa, D.R. da Costa, A. Chaves, G.A. Farais, F.M. Peeters, Phys. Rev. B 95, 205414 (2017)

    Article  ADS  Google Scholar 

  63. A. Bruno-Alfonso, A. Latgé, Phys. Rev. B 71, 125312 (2005)

    Article  ADS  Google Scholar 

  64. A.M. Alexeev, M.E. Portnoi, Phys. Rev. B 85, 245419 (2012)

    Article  ADS  Google Scholar 

  65. A.M. Alexeev, M.E. Portnoi, Phys. Status Solidi C 9, 1309 (2012)

    Article  ADS  Google Scholar 

  66. A.M. Alexeev, I.A. Shelykh, M.E. Portnoi, Phys. Rev. B 88, 085429 (2013)

    Article  ADS  Google Scholar 

  67. K.L. Koshelev, VYu. Kachorovskii, M. Titov, Phys. Rev. B 92, 235426 (2015)

    Article  ADS  Google Scholar 

  68. S.D. Ganichev, W. Prettl, Intense Terahertz Excitation of Semiconductors (Oxford University Press, Oxford, 2006)

    Google Scholar 

  69. A.G. Markelz, N.G. Asmar, B. Brar, E.G. Gwinn, Appl. Phys. Lett. 69, 3975 (1996)

    Article  ADS  Google Scholar 

  70. N. Mori, T. Takahashi, T. Kambayashi, H. Kubo, C. Hamaguchi, L. Eaves, C.T. Foxon, A. Patane, M. Henini, Phys. B 314, 431 (2002)

    Article  ADS  Google Scholar 

  71. N.G. Asmar, A.G. Markelz, E.G. Gwinn, J. Cerne, M.S. Sherwin, K.L. Chapman, P.E. Hopkins, A.C. Gossard, Phys. Rev. B 51, 18041 (1995)

    Article  ADS  Google Scholar 

  72. S. Hughes, D.S. Citrin, Phys. Rev. Lett. 84, 4228 (2000)

    Article  ADS  Google Scholar 

  73. H. Hsu, L.E. Reichl, Phys. Rev. B 74, 115406 (2006)

    Article  ADS  Google Scholar 

  74. Tonouchi, Nat. Photon. 1, 97 (2007)

    Google Scholar 

  75. D.R. Grischkowsky, S.R. Keiding, M.P. van Exter, C. Fattinger, J. Opt. Soc. Am. B 7, 2006 (1990)

    Article  ADS  Google Scholar 

  76. T. Kampfrath, T. Tanaka, K.A. Nelson, Nat. Photon. 7, 680 (2013)

    Article  ADS  Google Scholar 

  77. A. Radu, A.A. Kirakosyan, D. Laroze, H.M. Baghramyan, M.G. Barseghyan, J. Appl. Phys. 116, 093101 (2014)

    Article  ADS  Google Scholar 

  78. A. Radu, A.A. Kirakosyan, D. Laroze, M.G. Barseghyan, Semicond. Sci. Technol. 30, 045006 (2015)

    Article  ADS  Google Scholar 

  79. W.C. Henneberger, Phys. Rev. Lett. 21, 838 (1968)

    Article  ADS  Google Scholar 

  80. M. Gavrila, J.Z. Kaminski, Phys. Rev. Lett. 52, 613 (1984)

    Article  ADS  Google Scholar 

  81. M. Pont, N.R. Walet, M. Gavrila, C.W. McCurdy, Phys. Rev. Lett. 61, 939 (1988)

    Article  ADS  Google Scholar 

  82. E.C. Valadares, Phys. Rev. B 41, 1282(R) (1990)

    Article  ADS  Google Scholar 

  83. M. Gavrila, J. Phys. B: At. Mol. Opt. Phys. 35, R147 (2002)

    Article  ADS  Google Scholar 

  84. M. Gavrila, Atoms in Intense Laser Fields (Academic, New York, 1992)

    Google Scholar 

  85. T. Chakraborty, A.Kh. Manaselyan, M.G. Barseghyan, D. Laroze, Phys. Rev. B 97, 041304 (R) (2018)

    Google Scholar 

  86. H.P. Boehm, Angew. Chem. Int. Ed. 49, 9332 (2010); H.P. Boehm, R. Setton, E. Stumpp, Carbon 24, 241 (1986)

    Google Scholar 

  87. H. Aoki, M.S. Dresselhaus (eds.), Physics of Graphene (Springer, New York, 2014)

    Google Scholar 

  88. D.S.L. Abergel, V. Apalkov, J. Berashevich, K. Ziegler, T. Chakraborty, Adv. Phys. 59, 261 (2010)

    Article  ADS  Google Scholar 

  89. T. Chakraborty, V.M. Apalkov, Solid State Commun. 175–176, 123 (2013)

    Article  ADS  Google Scholar 

  90. E. McCann, Phys. Rev. B 74, 161403 (2006)

    Article  ADS  Google Scholar 

  91. X.F. Wang, T. Chakraborty, Phys. Rev. B 81, 081402(R) (2010); D.S.L. Abergel, T. Chakraborty. Nanotechnology 22, 015203 (2011)

    Google Scholar 

  92. J. Berashevich, T. Chakraborty, Nanotechnology 21, 355201 (2010)

    Article  Google Scholar 

  93. X. Ling, H. Wang, S. Huang, F. Xia, M.S. Dresselhaus, PNAS 112, 4523 (2015)

    Article  ADS  Google Scholar 

  94. A. Ghazaryan, T. Chakraborty, Phys. Rev. B 92, 165409 (2015)

    Article  ADS  Google Scholar 

  95. A. Kara, H. Enriquez, A.P. Seitsonen, C. Lew Yan Voon, S. Vizzini, B. Aufray, H. Oughaddou, Surf. Sci. Rep. 67, 1 (2012)

    Article  ADS  Google Scholar 

  96. V.M. Apalkov, T. Chakraborty, Phys. Rev. B 91, 235447 (2015)

    Article  ADS  Google Scholar 

  97. M.E. Davila, L. Xian, S. Cahangirov, A. Rubio, G. Le Lay, New J. Phys. 16, 095002 (2014)

    Article  ADS  Google Scholar 

  98. D.R. Dreyer, R.S. Ruoff, C.W. Bielawski, Angew. Chem. Int. Ed. 49, 9336 (2010)

    Article  Google Scholar 

  99. P.R. Wallace, Phys. Rev. 71, 622 (1947)

    Article  ADS  Google Scholar 

  100. T. Chakraborty, V. Apalkov, in [87] Ch. 8

    Google Scholar 

  101. T. Ando, Physica E 40, 213 (2007)

    Article  ADS  Google Scholar 

  102. X.F. Wang, T. Chakraborty, Phys. Rev. B 75, 033408 (2007)

    Article  ADS  Google Scholar 

  103. J.W. McClure, Phys. Rev. 104, 666 (1956); R.R. Haering, P.R. Wallace. J. Phys. Chem. Solids 3, 253 (1957)

    Google Scholar 

  104. K.S. Novoselov et al., Nature (London) 438, 197 (2005)

    Article  ADS  Google Scholar 

  105. Y. Zhang et al., Nature (London) 438, 201 (2005)

    Article  ADS  Google Scholar 

  106. A.K. Geim, K.S. Novoselov, Nat. mater. 6, 183 (2007)

    Article  ADS  Google Scholar 

  107. V.M. Apalkov, T. Chakraborty, Phys. Rev. Lett. 112, 176401 (2014); A. Ghazaryan, T. Chakraborty, P. Pietiläinen. J. Phys.: Condens. Matter 27, 185301 (2015)

    Google Scholar 

  108. C.R. Dean et al., Nature (London) 497, 598 (2013); L. Wang et al., Science 350, 1231 (2015)

    Google Scholar 

  109. V.M. Apalkov, T. Chakraborty, Phys. Rev. Lett. 107, 186803 (2011); W. Luo, T. Chakraborty. Phys. Rev. B 96, 081108(R) (2017)

    Google Scholar 

  110. T. Chakraborty, P. Pietiläinen, The Quantum Hall Effects (Springer, New York, 1995); The Fractional Quantum Hall Effect (Springer, New York, 1988)

    Google Scholar 

  111. V.M. Apalkov, T. Chakraborty, Phys. Rev. Lett. 97, 126801 (2006); ibid.105, 036801 (2010)

    Google Scholar 

  112. H.Y. Chen, V. Apalkov, T. Chakraborty, Phys. Rev. Lett. 98, 186803 (2007)

    Article  ADS  Google Scholar 

  113. D.S.L. Abergel, V.M. Apalkov, T. Chakraborty, Phys. Rev. B 78, 193405 (2008)

    Article  ADS  Google Scholar 

  114. P. Recher, B. Trauzettel, A. Rycerz, YaM Blanter, C.W.J. Beenakker, A.F. Morpurgo, Phys. Rev. B 76, 235404 (2007)

    Article  ADS  Google Scholar 

  115. M.V. Berry, R.J. Mondragon, Proc. R. Soc. Lond. A 412, 53 (1987); E. McCann, V.I. Fal’ko, J. Phys.: Consens. Matter 16, 2371 (2004); J. Tworzydlo et al., Phys. Rev. Lett 96, 246802 (2006); P.G. Silvestrov, K.B. Efetov, ibid. 98, 016802 (2007)

    Google Scholar 

  116. T. Ando, J. Phys. Soc. Jpn. 75, 074716 (2006)

    Article  ADS  Google Scholar 

  117. J. Schelter, P. Recher, B. Trauzettel, Solid State Commun. 152, 1411 (2012)

    Article  ADS  Google Scholar 

  118. S. Russo, J.B. Oostinga, D. Wehenkel, H.B. Heersche, S.S. Sobhani, L.M.K. Vandersypen, A.F. Morpurgo, Phys. Rev. B 77, 085413 (2008)

    Article  ADS  Google Scholar 

  119. E. Majorana, Nuovo Cimento 14, 171 (1937)

    Article  Google Scholar 

  120. F. Wilczek, Nat. Phys. 5, 614 (2009)

    Article  Google Scholar 

  121. A. Stern, Nature 464, 187 (2010)

    Article  ADS  Google Scholar 

  122. M. Leijnse, K. Flensberg, Semicond. Sci. Tecnol. 27, 124003 (2012)

    Article  ADS  Google Scholar 

  123. A.Y. Kitaev, Phys. Usp. 44, 131 (2001)

    Article  ADS  Google Scholar 

  124. L. Fu, C.L. Kane, Phys. Rev. Lett. 100, 096407 (2008)

    Article  ADS  Google Scholar 

  125. Y. Oreg, G. Rafael, F. von Oppen, Phys. Rev. Lett. 105, 177002 (2010)

    Article  ADS  Google Scholar 

  126. J. Alicea, Rep. Prog. Phys. 75, 076501 (2012)

    Article  ADS  Google Scholar 

  127. C.W.J. Beenakker, Annu. Rev. Condens. Matter Phys. 4, 113 (2013)

    Article  ADS  Google Scholar 

  128. Y.A. Bychkov, E.I. Rashba, J. Phys. C 17, 6039 (1984)

    Article  ADS  Google Scholar 

  129. A. Ghazaryan, T. Chakraborty, Phys. Rev. B 92, 115138 (2015)

    Article  ADS  Google Scholar 

  130. D. Berman, O. Entin-Wohlman, M.Ya. Azbel, Phys. Rev. B 42, 9299 (1990)

    Article  ADS  Google Scholar 

  131. F. Pientka, A. Romito, M. Duckheim, Y. Oreg, F. Oppen, New J. Phys. 15, 025001 (2013)

    Article  ADS  Google Scholar 

  132. B. Scharf, I. Žutić, Phys. Rev. B 91, 144505 (2015)

    Article  ADS  Google Scholar 

  133. E.M. Stoudenmire, J. Alicea, O. Starykh, M.P.A. Fisher, Phys. Rev B 84, 014503 (2011)

    Article  ADS  Google Scholar 

  134. G. Ben-Shach, A. Haim, I. Appelbaum, Y. Oreg, A. Yacoby, B.I. Halperin, Phys. Rev. B 91, 045403 (2015)

    Article  ADS  Google Scholar 

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Acknowledgements

The work has been supported by the Canada Research Chairs Program of the Government of Canada and the Armenian State Committee of Science (Project no. 15T-1C331).

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Authors and Affiliations

  1. Department of Physics and Astronomy, University of Manitoba, Winnipeg, R3T 2N2, Canada

    Tapash Chakraborty

  2. Department of Solid State Physics, Yerevan State University, Yerevan, Armenia

    Aram Kh. Manaselyan & Manuk G. Barseghyan

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  1. Tapash Chakraborty
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Correspondence to Tapash Chakraborty .

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  1. Institute for Integrative Nanosciences, Leibniz Institute for Solid State and Materials Research (IFW) Dresden, Dresden, Germany

    Vladimir M. Fomin

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Chakraborty, T., Manaselyan, A.K., Barseghyan, M.G. (2018). Electronic, Magnetic and Optical Properties of Quantum Rings in Novel Systems. In: Fomin, V. (eds) Physics of Quantum Rings. NanoScience and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-95159-1_11

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