Effect of structural disorder on quantum oscillations in graphite

CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOFAPESP - FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULOWe have studied the effect of structural disorder on the de Haas van Alphen and Shubnikov de Haas quantum oscillations measured in natural, Kish, and highly oriented pyrolytic graphite samples at temperatures down to 30 mK and at magnetic fields up to 14 T. The measurements were performed on different samples characterized by means of x-ray diffractometry, transmission electron microscopy, and atomic-force microscopy techniques. Our results reveal a correlation between the amplitude of quantum oscillations and the sample surface roughness. © 2016 AIP Publishing LLC.We have studied the effect of structural disorder on the de Haas van Alphen and Shubnikov de Haas quantum oscillations measured in natural, Kish, and highly oriented pyrolytic graphite samples at temperatures down to 30 mK and at magnetic fields up to 14 T. The measurements were performed on different samples characterized by means of x-ray diffractometry, transmission electron microscopy, and atomic-force microscopy techniques. Our results reveal a correlation between the amplitude of quantum oscillations and the sample surface roughness.108315CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOFAPESP - FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULOCNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOFAPESP - FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULOSem informaçãoSem informaçãoZhou, S.Y., Gweon, G.-H., Graf, J., Fedorov, A.V., Spataru, C.D., Diehl, R.D., Kopelevich, Y., Lanzara, A., (2006) Nat. Phys., 2, p. 595Luk'Yanchuk, I.A., Kopelevich, Y., Marssi, M.E., (2009) Physica B, 404, p. 404Luk'Yanchuk, I.A., Kopelevich, Y., (2006) Phys. Rev. Lett., 97Esquinazi, P., Setzer, A., Höhne, R., Semmelhack, C., Kopelevich, Y., Spemann, D., Butz, T., Lösche, M., (2002) Phys. Rev. B, 66Kopelevich, Y., Torres, J.H.S., Da Silva, R.R., Mrowka, F., Kempa, H., Esquinazi, P., (2003) Phys. Rev. Lett., 90Dingle, R.B., (1952) Proc. R. Soc. London, Ser. A, 211, p. 517Walukiewicz, W., Ruda, H.E., Lagowski, J., Gatos, H.C., (1984) Phys. Rev. B, 30, p. 4571Hadjisavvas, G., Tsetseris, L., Pantelides, S., (2007) IEEE Electron Device Lett., 28, p. 1018Kopelevich, Y., Da Silva, R.R., Camargo, B.C., Alexandrov, A.S., (2013) J. Phys.: Condens. Matter, 25SPI Supplies, , West Chester, PA, USAMakarova, T.L., Shelankov, A.L., Serenkov, I.T., Sakharov, V.I., (2010) Phys. Status Solidi B, 247, p. 2988Cervenka, J., Katsnelson, M.I., Flipse, C.F.J., (2009) Nat. Phys., 5, p. 840Cancado, L.G., Takai, K., Enoki, T., Endo, M., Kim, Y.A., Mizusaki, H., Jorio, A., Pimenta, M.A., (2006) Appl. Phys. Lett., 88Barzola-Quiquia, J., Yao, J.-L., Rodiger, P., Schindler, K., Esquinazi, P., (2008) Phys. Status Solidi A, 205, p. 2924http://www.qdusa.com/, Quantum Design, Inc., San Diego, CA, USAMatthews, A.J., Usher, A., Williams, C.D.H., (2004) Rev. Sci. Instrum., 75, p. 2672http://dx.doi.org/10.1063/1.4940233, See supplementary material at E-APPLAB-108-016604 for the SdH measurements and the Fourier analysis of the quantum oscillations shownAshcroft, N.W., Mermin, N.D., (1976) Solid State Physics, , (Brooks Cole), Chap. 2 and 14Jalili, N., Laxminarayana, K., (2004) Mechatronics, 14, p. 907Soule, D.E., McClure, J.W., Smith, L.B., (1964) Phys. Rev., 134, p. A453Kinchin, G.H., (1953) Proc. R. Soc. London, Ser. A, 217, p. 9Hishiyama, Y., Yoshida, A., Kaburagi, Y., (2013) Carbon, 52, p. 622Garcia, N., Esquinazi, P., Barzola-Quiquia, J., Ming, B., Spoddig, D., (2008) Phys. Rev. B, 78Fisher, M.E., (1986) J. Chem. Soc., Faraday Trans. 2, 82, p. 1569Gogolides, E., Boukouras, C., Kokkoris, G., Brani, O., Tserepi, A., Constantoudis, V., (2004) Microelectron. Eng., 73-74, p. 312Krim, J., Indekeu, J.O., (1993) Phys. Rev. e, 48, p. 1576Katsnelson, M., Geim, A., (2008) Philos. Trans. R. Soc. London, Ser. A, 366, p. 195Xu, K., Cao, P., Heath, J.R., (2009) Nano Lett., 9, p. 4446Pereira, V.M., Castro Neto, A.H., Liang, H.Y., Mahadevan, L., (2010) Phys. Rev. Lett., 105Celik, H., Cankurtaran, M., Bayrakli, A., Tiras, E., Balkan, N., (1997) Semicond. Sci. Technol., 12, p. 389Balkan, N., Gupta, R., Cankurtaran, M., Celik, H., Bayrakli, A., Tiras, E., Arikan, M., (1997) Superlattices Microstruct., 22, p. 263Cao, Y., Jena, D., (2007) Appl. Phys. Lett., 90Sakaki, H., Noda, T., Hirakawa, K., Tanaka, M., Matsusue, T., (1987) Appl. Phys. Lett., 51, p. 193