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Observation of Quantum Hall Plateau-Plateau Transition and Scaling Behavior of the Zeroth Landau Level in Graphene p-n-p Junction

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Electrical and Optoelectronic Properties of the Nanodevices Composed of Two-Dimensional Materials

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Abstract

Electrical transport studies of graphene heterostructures (Young and Kim in Ann Rev Conden Ma P 2:101 [1]) have revealed the quantum Hall effect (QHE) (Ozyilmaz et al. in Phys Rev Lett 99:166804 [2]), quantum interference behaviors (Young and Kim in Nat Phys 5:222; [3]; Satoru et al. in Jpn J Appl Phys 52:110105 [4]), Klein tunneling (Katsnelson et al. in Nat Phys 2:620 [5]; Shytov et al. in Phys Rev Lett 101:156804 [6]), and the split closed-loop resonator (Zheng et al. in Nat Nanotechnol 8:119 [7]), hence convincingly demonstrating the advantages of constructing in-plane heterostructures of graphene.

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References

  1. A.F. Young, P. Kim, Ann. Rev. Conden. Ma. P. 2, 101 (2011)

    Google Scholar 

  2. B. Ozyilmaz, P. Jarillo-Herrero, D. Efetov, D.A. Abanin, L.S. Levitov, P. Kim, Phys. Rev. Lett. 99, 166804 (2007)

    Article  ADS  Google Scholar 

  3. A.F. Young, P. Kim, Nat. Phys. 5, 222 (2009)

    Article  Google Scholar 

  4. M. Satoru, M. Sei, O. Masahiro, I. Kazuyuki, W. Kenji, T. Takashi, M. Tomoki, Jpn. J. Appl. Phys. 52, 110105 (2013)

    Article  Google Scholar 

  5. M.I. Katsnelson, K.S. Novoselov, A.K. Geim, Nat. Phys. 2, 620 (2006)

    Article  Google Scholar 

  6. A.V. Shytov, M.S. Rudner, L.S. Levitov, Phys. Rev. Lett. 101, 156804 (2008)

    Article  ADS  Google Scholar 

  7. L. Zheng, L. Ma, G. Shi, W. Zhou, Y. Gong, S. Lei, X. Yang, J. Zhang, J. Yu, K.P. Hackenberg, A. Babakhani, J.-C. Idrobo, R. Vajtai, J. Lou, P.M. Ajayan, Nat. Nanotechnol. 8, 119 (2013)

    Article  ADS  Google Scholar 

  8. A.K. Geim, K.S. Novoselov, Nat. Mater. 6, 183 (2007)

    Article  ADS  Google Scholar 

  9. 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, 197 (2005)

    Article  ADS  Google Scholar 

  10. Y. Zhang, Y.-W. Tan, H.L. Stormer, P. Kim, Nature 438, 201 (2005)

    Article  ADS  Google Scholar 

  11. K.S. Novoselov, E. McCann, S.V. Morozov, V.I. Fal’ko, M.I. Katsnelson, U. Zeitler, D. Jiang, F. Schedin, A.K. Geim, Nat. Phys. 2, 177 (2006)

    Article  Google Scholar 

  12. A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, A.K. Geim, Rev. Mod. Phys. 81, 109 (2009)

    Article  ADS  Google Scholar 

  13. A.J.M. Giesbers, U. Zeitler, L.A. Ponomarenko, R. Yang, K.S. Novoselov, A.K. Geim, J.C. Maan, Phys. Rev. B 80, 241411 (R) (2009)

    Google Scholar 

  14. E.C. Peters, A.J.M. Giesbers, M. Burghard, K. Kern, Appl. Phys. Lett. 104, 203109 (2014)

    Article  ADS  Google Scholar 

  15. S.-Y. Chen, P.-H. Ho, R.-J. Shiue, C.-W. Chen, W.-H. Wang, Nano. Lett. 12, 964 (2012)

    Article  ADS  Google Scholar 

  16. J.R. Williams, L. DiCarlo, C.M. Marcus, Science 317, 638 (2007)

    Article  ADS  Google Scholar 

  17. H.C. Cheng, R.J. Shiue, C.C. Tsai, W.H. Wang, Y.T. Chen, ACS Nano. 5, 2051 (2011)

    Article  Google Scholar 

  18. B. Huard, N. Stander, J.A. Sulpizio, D. Goldhaber-Gordon, Phys. Rev. B 78, 121402 (2008)

    Article  ADS  Google Scholar 

  19. T. Mueller, F. Xia, M. Freitag, J. Tsang, P. Avouris, Phys. Rev. B 79, 245430 (2009)

    Article  ADS  Google Scholar 

  20. R. Nouchi, K. Tanigaki, Appl. Phys. Lett. 105, 033112 (2014)

    Article  ADS  Google Scholar 

  21. R. Nouchi, K. Tanigaki, Appl. Phys. Lett. 96, 253503 (2010)

    Article  ADS  Google Scholar 

  22. F.N. Xia, V. Perebeinos, Y.M. Lin, Y.Q. Wu, P. Avouris, Nat. Nano. 6, 179 (2011)

    Article  Google Scholar 

  23. S. Cho, M.S. Fuhrer, Phys. Rev. B 77, 081402 (2008)

    Article  ADS  Google Scholar 

  24. F.-Y. Shih, S.-Y. Chen, C.-H. Liu, P.-H. Ho, T.-S. Wu, C.-W. Chen, Y.-F. Chen, W.-H. Wang, AIP Adv. 4, 067129 (2014)

    Article  ADS  Google Scholar 

  25. F. Ortmann, S. Roche, Phys. Rev. Lett. 110, 086602 (2013)

    Article  ADS  Google Scholar 

  26. K.S. Novoselov, Z. Jiang, Y. Zhang, S.V. Morozov, H.L. Stormer, U. Zeitler, J.C. Maan, G.S. Boebinger, P. Kim, A.K. Geim, Science 315, 1379 (2007)

    Article  ADS  Google Scholar 

  27. B. Huckestein, Rev. Mod. Phys. 67, 357 (1995)

    Article  ADS  Google Scholar 

  28. S.L. Sondhi, S.M. Girvin, J.P. Carini, D. Shahar, Rev. Mod. Phys. 69, 315 (1997)

    Article  ADS  Google Scholar 

  29. H.P. Wei, D.C. Tsui, M.A. Paalanen, A.M.M. Pruisken, Phys. Rev. Lett. 61, 1294 (1988)

    Article  ADS  Google Scholar 

  30. A.M.M. Pruisken, Phys. Rev. Lett. 61, 1297 (1988)

    Article  ADS  Google Scholar 

  31. S. Koch, R.J. Haug, K.V. Klitzing, K. Ploog, Phys. Rev. Lett. 67, 883 (1991)

    Article  ADS  Google Scholar 

  32. T. Brandes, Phys. Rev. B 52, 8391 (1995)

    Article  ADS  Google Scholar 

  33. K.M. McCreary, K. Pi, R.K. Kawakami, Appl. Phys. Lett. 98, 192101 (2011)

    Article  ADS  Google Scholar 

  34. J. Martin, N. Akerman, G. Ulbricht, T. Lohmann, J.H. Smet, K. Von Klitzing, A. Yacoby, Nat. Phys. 4, 144 (2008)

    Article  Google Scholar 

  35. Morozov SV, Novoselov KS, Katsnelson MI, Schedin F, Ponomarenko LA, Jiang D, Geim AK (2006) Phys. Rev. Lett. 97

    Google Scholar 

  36. P.-H. Wang, Fu-Yu. Shih, S.-Y. Chen, A.B. Hernandez, P.-H. Ho, L.-Y. Chang, C.-H. Chen, H.-C. Chiu, C.-W. Chen, W.-H. Wang, Carbon 93, 353 (2015)

    Article  Google Scholar 

  37. I.A. Luk’yanchuk, Y. Kopelevich, Phys. Rev. Lett. 93, 166402 (2004)

    Google Scholar 

  38. D.E. Soule, J.W. McClure, L.B. Smith, Phys. Rev. 134, A453 (1964)

    Article  ADS  Google Scholar 

  39. C. Berger, Z. Song, X. Li, X. Wu, N. Brown, C. Naud, D. Mayou, T. Li, J. Hass, A.N. Marchenkov, E.H. Conrad, P.N. First, W.A. de Heer, Science 312, 1191 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  41. G.P. Mikitik, Y.V. Sharlai, Phys. Rev. Lett. 82, 2147 (1999)

    Article  ADS  Google Scholar 

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Correspondence to Cheng-Hua Liu .

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Liu, CH. (2018). Observation of Quantum Hall Plateau-Plateau Transition and Scaling Behavior of the Zeroth Landau Level in Graphene p-n-p Junction. In: Electrical and Optoelectronic Properties of the Nanodevices Composed of Two-Dimensional Materials. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-13-1355-4_5

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