Skip to main content

Graphene pn Junction: Electronic Transport and Devices

  • Chapter
  • First Online:
Graphene Nanoelectronics

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

Abstract

This chapter provides a tutorial style review on the physics of electronic transport through a graphene pn junction in the absence and presence of a magnetic field, including the case of a strain-induced pseudo-magnetic field. We review the basic transport theories for the graphene pn junction and complement this understanding with numerical studies and key experimental findings. Novel devices, such as electron optics and strain-induced pseudo-magnetic devices, that exploit the physics of the graphene pn junction discussed in here, will be presented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    See also relevant chapters of this book, e.g. Sect. 15.2.1 should complements with Chaps. 8, 9 and 17 provides other aspects of electronic transport properties.

  2. 2.

    Klein tunneling is to be distinguished from Klein paradox, see [130] for an interesting historical account of the related Klein paradox.

  3. 3.

    “isospin” used in this context has nothing to do with “isospin” in particle physics.

  4. 4.

    Except when different valley degeneracies are accounted.

References

  1. M. Riordan, L. Hoddeson, Crystal Fire: The Invention of the Transistor and the Birth of the Information Age (W. W. Norton and Company, New York, 1998)

    Google Scholar 

  2. S.M. Sze, K.K. Ng, Physics of Semiconductor Devices (Wiley-Interscience, New York, 2006)

    Book  Google Scholar 

  3. R.F. Pierret, Semiconductor Device Fundamentals (Addison Wesley, Reading, Mass, 1996)

    Google Scholar 

  4. M. Lundstrom, Fundamentals of Carrier Transport (Cambridge University Press, Cambridge, 2000)

    Book  Google Scholar 

  5. K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, Y. Zhang, S.V. Dubonos, I.V. Grigorieva, A.A. Firsov, Science 306, 666 (2004)

    Article  ADS  Google Scholar 

  6. 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 

  7. Y. Zhang, Y.W. Tan, P. Kim, Nature 438, 201 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

  9. T. Ohta, A. Bostwick, J.L. McChesney, T. Seyller, K. Horn, E. Rotenbarg, Phys. Rev. Lett. 98, 206802 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  11. C.W.J. Beenakker, Rev. Mod. Phys. 80, 1337 (2008)

    Article  ADS  Google Scholar 

  12. S.D. Sarma, S. Adam, E.H. Hwang, E. Rossi, http://arxiv.org/abs/1003.4731 (2010)

  13. M.Y. Han, B. Ozyilmaz, Y. Zhang, P. Kim, Phys. Rev. Lett. 98, 206805 (2007)

    Article  ADS  Google Scholar 

  14. D.V. Kosynkin, A.L. Higginbotham, A. Sinitskii, J.R. Lomeda, A. Dimiev, B.K. Price, J.M. Tour, Nature 458, 872 (2009)

    Article  ADS  Google Scholar 

  15. L. Jiao, L. Zhang, X. Wang, G. Diankov, H. Dai, Nature 458, 877 (2009)

    Article  ADS  Google Scholar 

  16. J. Li, S.Q. Shen, Phys. Rev. B 78, 205308 (2008)

    Article  ADS  Google Scholar 

  17. J. Bai, X. Zhong, S. Jiang, Y. Huang, X. Duan, Nature Nano. 5, 190 (2010)

    Article  ADS  Google Scholar 

  18. M.Y. Han, J.C. Brant, P. Kim, Phys. Rev. Lett. 104, 056801 (2010)

    Article  ADS  Google Scholar 

  19. P. Gallagher, K. Todd, D. Goldhaber-Gordon, Phys. Rev. B 81, 115409 (2010)

    Article  ADS  Google Scholar 

  20. F. Varcon, R. Feng, J. Hass, X. Li, B.N. Nguyen, C. Naud, P. Mallet, J.Y. Veuillen, C. Berger, E.H. Conrad, L. Magaud, Phys. Rev. Lett. 99, 126805 (2007)

    Article  ADS  Google Scholar 

  21. S.Y. Zhou, G.H. Gweon, A.V. Fedorov, P.N. First, W.A. de Heer, D.H. Lee, F. Guinea, A.H.C. Neto, A. Lanzara, Nat. Mat. 6, 770 (2007)

    Article  Google Scholar 

  22. G. Giovannetti, P.A. Khomyakov, G. Brocks, P.J. Kelly, J. Brink, Phys. Rev. B 76, 073103 (2007)

    Article  ADS  Google Scholar 

  23. S. Kim, J. Ihm, H.J. Choi, Y.W. Son, Phys. Rev. Lett. 100, 176802 (2008)

    Article  ADS  Google Scholar 

  24. T. Ohta, A. Bostwick, T. Seyller, K. Horn, E. Rotenberg, Science 313, 5789 (2006)

    Article  Google Scholar 

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

    Google Scholar 

  26. F. Xia, D.B. Farmer, Y.M. Lin, P. Avouris, Nano Lett. 10, 715 (2010)

    Article  ADS  Google Scholar 

  27. T. Thiti, J.H. Pablo, Phys. Rev. Lett. 105, 166601 (2010)

    Article  ADS  Google Scholar 

  28. L. Jing, J. Velasco Jr., G. Liu, W. Bao, M. Bockrath, C.N. Lau, Nano Lett. 10, 4000 (2010)

    Article  ADS  Google Scholar 

  29. J.O. Sofo, A.S. Chaudhari, G.D. Barber, Phys. Rev. B 75, 153401 (2007)

    Article  ADS  Google Scholar 

  30. D.C. Elias, R.R. Nair, T.M.G. Mohiuddin, S.V. Morozov, P. Blake, M.P. Halsall, A.C. Ferrari, D.W. Boukhvalov, M.I. Katsnelson, A.K. Geim, K.S. Novoselov, Science 323, 610 (2009)

    Article  ADS  Google Scholar 

  31. R. Balog, B. Jorgensen, L. Nilsson, M. Andersen, E. Rienks, M. Bianchi, M. Fanetti, E. Lagsgaard, A. Baraldi, S. Lizzit, Z. Sljivancanin, F. Besenbacher, B. Hammer, T.G. Pedersen, P. Hofmann, L. Hornekar, Nat. Mat. 9, 315 (2010)

    Article  Google Scholar 

  32. J.P. Robinson, H. Schomerus, L. Oroszlany, V.I. Fal’ko, Phys. Rev. Lett. 101, 196803 (2008)

    Google Scholar 

  33. Y.M. Lin, C. Dimitrakopoulos, K.A. Jenkins, D.B. Farmer, H.Y. Chiu, A. Grill, P. Avouris, Science 327, 662 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  35. 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 

  36. B. Huard, J.A. Sulpizio, N. Stander, K. Todd, B. Yang, D. Goldhaber-Gordon, Phys. Rev. Lett. 98, 236803 (2007)

    Article  ADS  Google Scholar 

  37. V.V. Cheianov, V.I. Fal’ko, Phys. Rev. B 74, 041403 (2006)

    Google Scholar 

  38. T. Low, S. Hong, J. Appenzeller, S. Datta, M. Lundstrom, IEEE Trans. Elec. Dev. 56, 1292 (2009)

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  41. N. Stander, B. Huard, D. Goldhaber-Gordon, Phys. Rev. Lett. 102, 026807 (2009)

    Article  ADS  Google Scholar 

  42. C.H. Park, Y.W. Son, L. Yang, M.L. Cohen, S.G. Louie, Nano Lett. 8, 2920 (2008)

    Article  ADS  Google Scholar 

  43. T. Low, J. Appenzeller, Phys. Rev. B 80, 155406 (2009)

    Article  ADS  Google Scholar 

  44. N.D. Lang, A. Yacoby, Y. Imry, Phys. Rev. Lett. 63, 1499 (1989)

    Article  ADS  Google Scholar 

  45. L.W. Molenkamp, A.A.M. Staring, C.W.J. Beenakker, R. Eppenga, C.E. Timmering, J.G. Williamson, C.J.P.M. Harmans, C.T. Foxon, Phys. Rev. B 41, 1274 (1990)

    Article  ADS  Google Scholar 

  46. U. Sivan, M. Heiblum, C.P. Umbach, H. Shtrikman, Phys. Rev. B 41, 7937 (1990)

    Article  ADS  Google Scholar 

  47. H. van Houten, B.J. van Wees, J.E. Mooij, C.W.J. Beenakker, J.G. Williamson, C.T. Foxon, Europhys. Lett. 5, 721 (1988)

    Article  ADS  Google Scholar 

  48. J. Spector, J.S. Weiner, H.L. Stormer, K.W. Baldwin, L.N. Pfeiffer, K.W. West, Surf. Sci. 263, 240 (1992)

    Article  ADS  Google Scholar 

  49. V.V. Cheianov, V. Fal’ko, B.L. Altshuler, Science 315, 1252 (2007)

    Google Scholar 

  50. J.M. Pereira, V. Mlinar, F.M. Peeters, P. Vasilopoulos, Phys. Rev. B 74, 045424 (2006)

    Article  ADS  Google Scholar 

  51. C.W.J. Beenakker, R.A. Sepkhanov, A.R. Akhmerov, J. Tworzydlo, Phys. Rev. Lett. 102, 146804 (2009)

    Article  ADS  Google Scholar 

  52. F.M. Zhang, Y. He, X. Chen, Appl. Phys. Lett. 94, 212105 (2010)

    Article  ADS  Google Scholar 

  53. Z. Wu, arXiv:1008.2495 (unpublished) (2010)

    Google Scholar 

  54. J.R. Williams, T. Low, M. Lundstrom, C.M. Marcus, Nature Nano. 6, 222 (2011)

    Article  ADS  Google Scholar 

  55. D.A. Abanin, L.S. Levitov, Science 317, 641 (2007)

    Article  ADS  Google Scholar 

  56. T. Low, Phys. Rev. B 80, 205423 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  57. V. Lukose, R. Shankar, G. Baskaran, Phys. Rev. Lett. 98, 116802 (2007)

    Article  ADS  Google Scholar 

  58. J.M. Pereira, F.M. Peeters, P. Vasilopoulos, Phys. Rev. B 75, 125433 (2007)

    Article  ADS  Google Scholar 

  59. J.R. Williams, Electronic Transport in Graphene: p-n Junctions, Shot Noise, and Nanoribbons, Harvard University, PhD thesis (2009)

    Google Scholar 

  60. F. Guinea, M.I. Katsnelson, A.K. Geim, Nat. Phys. 6, 30 (2010)

    Article  Google Scholar 

  61. M.A.H. Vozmediano, M.I. Katsnelson, F. Guinea, Phys. Rep. 496, 109 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  62. N. Levy, S.A. Burke, K.L. Meaker, M. Panlasigui, A. Zettl, F. Guinea, A.H.C. Neto, M.F. Crommie, Science 329, 544 (2010)

    Article  ADS  Google Scholar 

  63. M.M. Fogler, F. Guinea, M.I. Katsnelson, Phys. Rev. Lett. 101, 226804 (2008)

    Article  ADS  Google Scholar 

  64. V.M. Pereira, A.H.C. Neto, Phys. Rev. Lett. 103, 046801 (2009)

    Article  ADS  Google Scholar 

  65. T. Low, F. Guinea, Nano Lett. 10, 3551 (2010)

    Article  ADS  Google Scholar 

  66. F. Guinea, A.K. Geim, M.I. Katsnelson, K.S. Novoselov, Phys. Rev. B 81, 035408 (2010)

    Article  ADS  Google Scholar 

  67. T. Fujita, M.B.A. Jalil, S.G. Tan, Appl. Phys. Lett. 97, 043508 (2010)

    Article  ADS  Google Scholar 

  68. F. Zhai, X. Zhao, K. Chang, H.Q. Xu, Phys. Rev. B 82, 115442 (2010)

    Article  ADS  Google Scholar 

  69. A. Chaves, L. Covaci, K.Y. Rakhimov, G.A. Farias, F.M. Peeters, Phys. Rev. B 82, 205430 (2010)

    Article  ADS  Google Scholar 

  70. T. Ando, T. Nakanishi, R. Saito, J. Phys. Soc. Jpn. 67, 2857 (1998)

    Article  ADS  Google Scholar 

  71. J. Tworzydlo, I. Snyman, A.R. Akhmerov, C.W.J. Beenakker, Phys. Rev. B 76, 035411 (2007)

    Article  ADS  Google Scholar 

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

    Google Scholar 

  73. R. Saito, Physical Properties of Carbon Nanotubes (World Scientific Publishing, 1998)

    Google Scholar 

  74. G.L. Kane, Modern Elementary Particle Physics (Addison-Wesley, New York, 1987)

    Google Scholar 

  75. D.J. Griffiths, Introduction to Electrodynamics (Prentice Hall, Upper Saddle River, NJ, 1999)

    Google Scholar 

  76. L.M. Zhang, M.M. Fogler, Phys. Rev. Lett. 100, 116804 (2008)

    Article  ADS  Google Scholar 

  77. E.O. Kane, E.I. Blount, in Tunneling Phenomena in Solids, ed. by E. Burstein, S. Lundqvist (Plenum Press, New York, 1969), p. 79

    Chapter  Google Scholar 

  78. Y. Zhang, T.T. Tang, C. Girit, Z. Hao, M.C. Martin, A. Zettl, M.F. Crommie, Y.R. Shen, F. Wang, Nature 459, 820 (2009)

    Article  ADS  Google Scholar 

  79. L. Landau, Phys. Sov. Union 2, 46 (1932)

    MATH  Google Scholar 

  80. C. Zener, Proc. Roy. Soc. London A 137, 696 (1932)

    Article  ADS  Google Scholar 

  81. S. Datta, Electronic Transport in Mesoscopic System (Cambridge University Press, Cambridge, 1995)

    Google Scholar 

  82. M.D. Ventra, Electrical Transport in Nanoscale Systems (Cambridge University Press, Cambridge, 2008)

    Book  Google Scholar 

  83. G.D. Mahan, (Plenum Press, 1990)

    Google Scholar 

  84. H. Haug, A.P. Jauho, Springer Series in Solid State Sci. 123 (1996)

    Google Scholar 

  85. M.P.L. Sancho, J.M.L. Sancho, J. Phys. F Met. Phys. 14, 1205 (1984)

    Article  ADS  Google Scholar 

  86. M.P. Anantram, M.S. Lundstrom, D.E. Nikonov, Proc. IEEE 96, 1511 (2008)

    Article  Google Scholar 

  87. L. Brey, H.A. Fertig, Phys. Rev. B 73, 235411 (2006)

    Article  ADS  Google Scholar 

  88. X. Du, I. Skachko, A. Barker, E.Y. Andrei, Nat. Nano. Lett. 3, 491 (2008)

    Article  Google Scholar 

  89. N. Stander, B. Huard, D. Goldhaber-Gordon, arxiv:0806.2319v1 (2008)

    Google Scholar 

  90. A. Shytov, M. Rudner, N. Gu, M. Katsnelson, L. Levitov, Sol. State Comm. 149, 1087 (2009)

    Article  ADS  Google Scholar 

  91. Y. Zheng, T. Ando, Phys. Rev. B 65, 245420 (2002)

    Article  ADS  Google Scholar 

  92. A.R. Akhmerov, J.H. Bardarson, A. Rycerz, C.W.J. Beenakker, Phys. Rev. B 77, 205416 (2008)

    Article  ADS  Google Scholar 

  93. C.W.J. Beenakker, Proc. Int. School Phys. E. Fermi 162 (2006)

    Google Scholar 

  94. W. Long, Q.F. Sun, J. Wang, Phys. Rev. Lett. 101, 166806 (2008)

    Article  ADS  Google Scholar 

  95. P. Carmier, C. Lewenkopf, D. Ullmo, Phys. Rev. B 81, 241406(R) (2010)

    Google Scholar 

  96. J.T. Chalker, P.D. Coddington, J. Phys. C 21, 2665 (1988)

    Article  ADS  Google Scholar 

  97. G.M. Rutter, J.N. Crain, N.P. Guisinger, T. Li, P.N. First, J.A. Stroscio, Science 317, 220 (2007)

    Article  ADS  Google Scholar 

  98. A.L.V. de Parga, F. Calleja, M.C.G. Passeggi, J.J. Hinarejos, F. Guinea, R. Miranda, Phys. Rev. Lett. 100, 056807 (2008)

    Article  ADS  Google Scholar 

  99. M. Ishigami, J.H. Chen, W.G. Cullen, M.S. Fuhrer, E.D. Williams, Nano Lett. 7, 1643 (2007)

    Article  ADS  Google Scholar 

  100. E. Stolyarova, K.T. Rim, S. Ryu, J. Maultzsch, P. Kim, L.E. Brus, T.F. Heinz, M.S. Hybertsen, G.W. Flynn, Pro. Nat. Aca. Sci. 104, 9209 (2007)

    Article  ADS  Google Scholar 

  101. V. Geringer, M. Liebmann, T. Echtermeyer, S. Runte, M. Schmidt, R. Ruckamp, M.C. Lemme, M. Morgenstern, Phys. Rev. Lett. 102, 076102 (2009)

    Article  ADS  Google Scholar 

  102. M.L. Teague, A.P. Lai, J. Velasco, C.R. Hughes, A.D. Beyer, M.W. Bockrath, C.N. Lau, N.C. Yeh, Nano Lett. 9, 2542 (2009)

    Article  ADS  Google Scholar 

  103. H. Suzuura, T. Ando, Phys. Rev. B 65, 235412 (2002)

    Article  ADS  Google Scholar 

  104. N.C. Yeh, M.L. Teague, S. Yeom, B.L. Standley, R.T.P. Wu, D.A. Boyd, M.W. Bockrath, Surf. Sci. 605, 1649 (2010)

    Article  ADS  Google Scholar 

  105. K. Sasaki, Y. Kawazoe, R. Saito, Prog. Theor. Phys. 113, 463 (2005)

    Article  ADS  Google Scholar 

  106. F. Guinea, C. Tejedor, F. Flores, E. Louis, Phys. Rev. B 28, 4397 (1983)

    Article  ADS  Google Scholar 

  107. C.L. Kane, E.J. Mele, Phys. Rev. Lett. 95, 226801 (2005)

    Article  ADS  Google Scholar 

  108. A. Nogaret, S.J. Bending, Phys. Rev. Lett. 84, 2231 (2000)

    Article  ADS  Google Scholar 

  109. J.E. Muller, Phys. Rev. Lett. 68, 385 (1992)

    Article  ADS  Google Scholar 

  110. J. Reijniers, F.M. Peeters, J. Phys. Cond. Mat. 12, 9771 (2000)

    Article  ADS  Google Scholar 

  111. H.S. Sim, K.H. Ahn, K.J. Chang, G. Ihm, N. Kim, S.J. Lee, Phys. Rev. Lett. 80, 1501 (1998)

    Article  ADS  Google Scholar 

  112. A.D. Martino, L. Dell’Anna, R. Egger, Phys. Rev. Lett. 98, 066802 (2007)

    Google Scholar 

  113. L. Oroszlany, P. Rakyta, A. Kormanyos, C.J. Lambert, J. Cserti, Phys. Rev. B 77, 081403 (2008)

    Article  ADS  Google Scholar 

  114. A. Matulis, F.M. Peeters, P. Vasilopoulos, Phys. Rev. Lett. 72, 1518 (1994)

    Article  ADS  Google Scholar 

  115. T. Low, F. Guinea, M.I. Katsnelson, Phys. Rev. B 83, 195436 (2011)

    Article  ADS  Google Scholar 

  116. J.L. Manes, Phys. Rev. B 76, 045430 (2007)

    Article  ADS  Google Scholar 

  117. H. Suzuura, T. Ando, Phys. Rev. Lett. 89, 266603 (2002)

    Article  ADS  Google Scholar 

  118. D.W. Wilson, E.N. Glytsis, T.K. Gaylord, IEEE J. Quan. Elec. 29, 1364 (1993)

    Article  ADS  Google Scholar 

  119. D. Dragoman, M. Dragoman, Quantum-Classical Analogies (Springer, Heidelberg, 2004)

    MATH  Google Scholar 

  120. E. Rossi, J.H. Bardarson, P.W. Brouwer, S.D. Sarma, Phys. Rev. B (R) 81, 121408 (2010)

    Google Scholar 

  121. C.R. Dean, A.F. Young, I. Meric, C. Lee, L. Wang, S. Sorgenfrei, K. Watanabe, T. Taniguchi, P. Kim, K.L. Shepard, J. Hone, Nature Nano. 5, 722 (2010)

    Article  ADS  Google Scholar 

  122. P. Kim, J.U. Lee, Private communication (2010)

    Google Scholar 

  123. S. Tanachutiwat, J.U. Lee, W. Wang, C.Y. Sung, Proc. 47th Design Automation Conf. p. 883 (2010)

    Google Scholar 

  124. A.T. Neal, J.J. Gu, T. Low, P.D. Ye, APS March meeting (2011)

    Google Scholar 

  125. J.S. Bunch, S.S. Verbridge, J.S. Alden, A.M. van der Zande, J.M. Parpia, H.G. Craighead, P.L. McEuen, Nano Lett. 8, 2458 (2008)

    Article  ADS  Google Scholar 

  126. W. Bao, F. Miao, Z. Chen, H. Zhang, W. Jang, C. Dames, C.N. Lau, Nat. Nano. 4, 562 (2009)

    Article  Google Scholar 

  127. Z.H. Ni, T. Yu, Y.H. Lu, Y.Y. Wang, Y.P. Feng, Z.X. Shen, ACS Nano 2, 2301 (2008)

    Article  Google Scholar 

  128. C. Lee, X. Wei, J.W. Kysar, J. Hone, Science 321, 385 (2008)

    Article  ADS  Google Scholar 

  129. M. Poetschke, C.G. Rocha, L.E.F.F. Torres, S. Roche, G. Cuniberti, Phys. Rev. B 81, 193404 (2010)

    Article  ADS  Google Scholar 

  130. A. Calogeracos, N. Dombey, Contemp. Phys. 40, 313 (1999)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This work is supported by the Institute of Nanoelectronics EXploration (INDEX), a National Science Foundation (NSF) research center focusing on new computing devices beyond Moore’s law, which forms the motivation for this review. This work had benefitted from useful collaborations/discussions with J. R. Williams, C. M. Marcus, J. U. Lee, P. Kim, C. Y. Sung, W. Wang, M. Lundstrom, J. Appenzeller, S. Datta, P. D. Ye, A. Neal, Y. Sui, D. Nikonov, M. Katsnelson, F. Guinea, K. Novoselov, A. Geim, D. Berdebes, R. Grassi. Generous computing resources from Network for Computational Nanoelectronics are gratefully acknowledge.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tony Low .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Low, T. (2011). Graphene pn Junction: Electronic Transport and Devices. In: Raza, H. (eds) Graphene Nanoelectronics. NanoScience and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22984-8_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-22984-8_15

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20467-8

  • Online ISBN: 978-3-642-22984-8

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics