Design of electron wave filters in monolayer graphene with velocity modulations

doi:10.1088/1674-1056/22/4/047203

Abstract We compare the transport properties of electrons in monolayer graphene by modulating the Fermi velocity inside the barrier. A critical transmission angle is found only when the Fermi velocity in the barriers is larger than the one outside the barriers. It is shown that the transmission exhibits periodicity with the incident angle below the critical transmission angle, and attenuates exponentially in the opposite situation. For both situations, peak splitting occurs in the transmission as the number of the velocity barriers increases, and the characteristics of the transmission suggest an interesting application of an excellent band-pass filter. The dependence of the conductance on the Fermi energy through identical velocity-modulation structure differs wildly with different Fermi velocities of the barrier. The counterpart of the peak splitting is the sharp oscillations in the conductance profile. Furthermore, some oscillations for the multiple barriers are so sharp that the structure may be used as an excellent sensor.

Keywords: velocity modulation periodicity peak splitting sharp oscillations

Received: 24 September 2012
Revised: 30 November 2012
Accepted manuscript online:

PACS:	72.80.Vp	(Electronic transport in graphene)
	73.23.Ad	(Ballistic transport)
	73.40.Gk	(Tunneling)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11104156), the Postdoctoral Science Foundation of China (CPSF) (Grant No. 2012M510405), the Independent Research and Development Fund of Tsinghua University (Grant No. 20121087948), and Beijing Key Laboratory of Fine Ceramics Opening Fund (Grant No. 2012200110).

Corresponding Authors: Fang Chao
E-mail: fangchao@mail.tsinghua.edu.cn

Cite this article:

Sun Li-Feng (孙立风), Dong Li-Min (董利民), Fang Chao (房超) Design of electron wave filters in monolayer graphene with velocity modulations 2013 Chin. Phys. B 22 047203

[1]	Beenakker C W J 2008 Rev. Mod. Phys. 80 1337
[2]	Castro Neto A H, Guinea F, Novoselov K S and Geim A K 2009 Rev. Mod. Phys. 81 109
[3]	Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V and Firsov A A 2004 Science 306 666
[4]	Novoselov K S, Geim A K, Morozov S V, Jiang D, Katsnelson M I, Grigorieva I V, Dubonos S V and Firsov A A 2005 Nature 438 197
[5]	Zhang Y B, Tan Y W, Stormer H L and Kim P 2005 Nature 438 201
[6]	Gusynin V P and Sharapov S G 2005 Phys. Rev. Lett. 95 146801
[7]	McCann E and Falko V I 2006 Phys. Rev. Lett. 96 086805
[8]	Zheng Y and Ando T 2002 Phys. Rev. B 65 245420
[9]	Zhang Y, Small J P, Amori M E S and Kim P 2005 Phys. Rev. Lett. 94 176803
[10]	Novoselov K S, McCann E, Morozov S V, Falko V I, Katsnelson M I, Zeitler U, Jiang D, Schedin F and Geim A K 2006 Nat. Phys. 2 177
[11]	Beenakker C W J 2006 Phys. Rev. Lett. 97 067007
[12]	Bhattacharjee S and Sengupta K 2006 Phys. Rev. Lett. 97 217001
[13]	Schwierz F 2010 Nat. Nanotechnol. 5 487
[14]	Schedin F, Geim A K, Morozov S V, Hill E W, Blake P, Katsnelson M I and Novoselov K S 2007 Nat. Mater. 6 652
[15]	Patil A et al. 2010 IEEE Nuclear Science Symposium and Medical Imaging Conference, October 30-November 6, 2010, Knoxville, TN, USA
[16]	Katsnelson M I, Novoselov K S and Geim A K 2006 Nat. Phys. 2 620
[17]	Tapasztó L, Dobrik G, Nemes-Incze P, Vertesy G, Lambin Ph and Biró L P 2008 Phys. Rev. B 78 233407
[18]	Raoux A, Polini M, Asgari R, Hamilton A R, Fazio R and MacDonald A H 2010 Phys. Rev. B 81 073407
[19]	Gibertini M, Singha A, Pellegrini V, Polini M, Vignale G, Pinczuk A, Pfeiffer L N and West K W 2009 Phys. Rev. B 79 241406
[20]	Concha A and Tešanović 2010 Phys. Rev. B 82 033413
[21]	Yuan J H, Cheng Z, Zeng Q J, Zhang J P and Zhang J J 2011 J. Appl. Phys. 110 103706
[22]	Krstajić P M and Vasilopoulos P 2011 J. Phys.: Condens. Matter 23 135302
[23]	Yuan J H, Zhang J J, Zeng Q J, Zhang J P and Cheng Z 2011 Physica B: Condens. Matter 406 4214
[24]	McKellar B H J and Stephenson G J Jr 1987 Phys. Rev. C 35 2262
[25]	Barbier M, Peeters F M, Vasilopoulos P and Pereira J M 2008 Phys. Rev. B 77 115446
[26]	Zhang L B, Chang K, Xie X C, Buhmann H and Molenkamp L W 2010 New J. Phys. 12 083058
[27]	Wu Z H, Zhai F, Peeters F M, Xu H Q and Chang K 2011 Phys. Rev. Lett. 106 176802
[28]	Song Y, Wu H C and Guo Y 2012 Appl. Phys. Lett. 100 253116

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