Quantum kinetic equations of the system “graphene + dimensionally
Teoretičeskaâ i matematičeskaâ fizika, Tome 172 (2012) no. 3, pp. 454-467
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We consider the problem of epitaxial graphene formed on a dimensionally quantized film. We give a microscopic derivation of the quantum kinetic equations for the system “graphene + dimensionally quantized film”. Based on the obtained equations, we investigate the features of electron states of the system under consideration and obtain analytic expressions for the transferred charge in this system.
Mots-clés : epitaxial graphene
Keywords: dimensionally quantized film, quantum kinetic equations, density of states.
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Z. Z. Alisultanov; R. P. Meylanov. Quantum kinetic equations of the system “graphene + dimensionally. Teoretičeskaâ i matematičeskaâ fizika, Tome 172 (2012) no. 3, pp. 454-467. http://geodesic.mathdoc.fr/item/TMF_2012_172_3_a8/

[1] K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, A. A. Firsov, Science, 306:5696 (2004), 666–669, arXiv: cond-mat/0410550 | DOI

[2] K. S. Novoselov, D. Jiang, F. Schedin, T. J. Booth, V. V. Khotkevich, S. V. Morozov, A. K. Geim, Proc. Natl. Acad. Sci. USA, 102:30 (2005), 10451–10453, arXiv: cond-mat/0503533 | DOI

[3] K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos, A. A. Firsov, Nature, 438:7065 (2005), 197–200 | DOI

[4] A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, A. K. Geim, Rev. Modern Phys., 81:1 (2009), 109–162, arXiv: 0709.1163 | DOI

[5] Yu. E. Lozovik, S. P. Merkulova, A. A. Sokolik, UFN, 178:7 (2008), 757–776 | DOI | DOI

[6] M. Hongki, R. Bistritzer, J-J. Su, A. H. MacDonald, Phys. Rev. B, 78:12 (2008), 121401(R), 4 pp., arXiv: 0802.3462 | DOI

[7] M. I. Katsnelson, K. S. Novoselov, A. K. Geim, Nature Phys., 2:9 (2006), 620–625, arXiv: cond-mat/0604323 | DOI

[8] C. W. J. Beenakker, Rev. Mod. Phys., 80:4 (2008), 1337–1354, arXiv: 0710.3848 | DOI

[9] G. Giovannetti, P. A. Khomyakov, G. Brocks, V. M. Karpan, J. van den Brink, P. J. Kelly, Phys. Rev. Lett., 101:2 (2008), 026803, 4 pp., arXiv: 0802.2267 | DOI | MR

[10] P. A. Khomyakov, G. Giovannetti, P. C. Rusu, J. van den Brink, P. J. Kelly, Phys. Rev. B., 79:19 (2009), 195425, 12 pp., arXiv: 0902.1203 | DOI

[11] P. A. Khomyakov, A. A. Starikov, G. Brocks, P. J. Kelly, Phys. Rev. B, 82 (2010), 115437, 6 pp., arXiv: 0911.2027 | DOI

[12] M. Vanin, J. J. Mortensen, A. K. Kelkkanen, J. M. Garcia-Lastra, K. S. Thygesen, K. W. Jacobsen, Graphene on metals: a Van der Waals density functional study, arXiv: 0912.3078

[13] S. Yu. Davydov, Pisma v ZhTF, 37:10 (2011), 64–67 | DOI

[14] S. Yu. Davydov, FTP, 45:5 (2011), 629–633 | DOI

[15] S. Yu. Davydov, FTP, 45 (2011), 1102–1108 | DOI

[16] P. W. Anderson, Phys. Rev., 124:1 (1961), 41–53 | DOI | MR

[17] D. M. Newns, Phys. Rev., 178:3 (1969), 1123–1135 | DOI

[18] F. D. M. Haldane, P. W. Anderson, Phys. Rev. B., 13:6 (1976), 2553–2559 | DOI

[19] R. P. Meilanov, B. A. Abramova, M. M. Gadzhialiev, V. V. Dzhabrailov, FTT, 44:11 (2002), 2097–2100 | DOI

[20] R. P. Meilanov, B. A. Abramova, G. M. Musaev, M. M. Gadzhialiev, FTT, 46:6 (2004), 1076–1077 ; Р. П. Мейланов, Б. А. Абрамова, ФТТ, 50:1 (2008), 130–134 | DOI | DOI

[21] Yu. E. Lozovik, S. Yu. Volkov, FTT, 45:2 (2003), 345–348 | DOI

[22] R. Z. Vitlina, A. V. Chaplik, Pisma v ZhETF, 78:10 (2003), 1147–1150 | DOI

[23] Z. Z. Alisultanov, R. P. Meilanov, FTT, 54:7 (2012), 1398–1404

[24] L. Kadanov, G. Beim, Kvantovaya statisticheskaya mekhanika. Metody funktsii Grina v teorii ravnovesnykh i neravnovesnykh protsessov., Mir, M., 1964 | MR | Zbl

[25] R. P. Meilanov, Poverkhnost. Fizika. Khimiya. Mekhanika, 3 (1999), 52

[26] D. C. Langreth, P. Nordlander, Phys. Rev. B, 43:4 (1991), 2541–2557 | DOI

[27] A. S. Kondratev, A. E. Kuchma, Elektronnaya fermi-zhidkost normalnykh metallov, Izd-vo LGU, L., 1980

[28] L. Kong, C. Bjelkevig, S. Gaddam et al., J. Phys. Chem. C, 114:49 (2010), 21618–21624 | DOI

[29] J. González, F. Guinea, M. A. H. Vozmediano, Nucl. Phys. B, 424:3 (1994), 595–618 | DOI

[30] J. González, F. Guinea, M. A. H. Vozmediano, Phys. Rev. B, 59:4 (1999), R2474–R2477, arXiv: cond-mat/9807130 | DOI

[31] D. C. Elias, R. V. Gorbachev, A. S. Mayorov, S. V. Morozov, A. A. Zhukov, P. Blake, L. A. Ponomarenko, I. V. Grigorieva, K. S. Novoselov, F. Guinea, A. K. Geim, Nature Physics, 7:9 (2011), 701–704, arXiv: 1104.1396 | DOI | MR

[32] N. Garcia,P. Esquinazi, A. A. Pasa, Comment on “Dirac cones reshaped by interaction effects in suspended graphene” by Elias et al., Nature Physics 7, 701 (2011), 2011, arXiv: 1110.2601