Chin. Phys. Lett.  2013, Vol. 30 Issue (4): 040501    DOI: 10.1088/0256-307X/30/4/040501
GENERAL |
Semiclassical Ballistic Transport through a Circular Microstructure in Weak Magnetic Fields
ZHANG Yan-Hui1**, CAI Xiang-Ji1, LI Zong-Liang1, JIANG Guo-Hui1, YANG Qin-Nan1, XU Xue-You 2
1College of Physics and Electronics, Shandong Normal University, Jinan 250014
2Information Research Institute, Shandong Academy of Sciences, Jinan 250014
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ZHANG Yan-Hui, CAI Xiang-Ji, LI Zong-Liang et al  2013 Chin. Phys. Lett. 30 040501
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Abstract We study magneto-transport through a weakly open circular microstructure in the perpendicular weak magnetic fields by a semiclassical approximation within the framework of the Fraunhofer diffraction effect at the lead openings. It is found that the peak positions of the transmission power spectrum can be related to simple trajectories according to classical dynamics. Moreover, we formulate the fluctuations in the transmission amplitude as functions of both the wave number k and the magnetic field B in terms of different classical trajectories, and the Aharonov–Bohm phase of the directed areas enclosed by these trajectories that reflect the quantum interference effect.
Received: 08 November 2012      Published: 28 April 2013
PACS:  05.45.Mt (Quantum chaos; semiclassical methods)  
  73.23.Ad (Ballistic transport)  
  03.65.Sq (Semiclassical theories and applications)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/30/4/040501       OR      https://cpl.iphy.ac.cn/Y2013/V30/I4/040501
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ZHANG Yan-Hui
CAI Xiang-Ji
LI Zong-Liang
JIANG Guo-Hui
YANG Qin-Nan
XU Xue-You
[1] Sohn L L 1998 Nature 394 131
[2] Ferry D K, Goodnick S M and Bird J 2009 Transport in Nanostructures 2nd edn (Cambridge: Cambridge University) p 2
[3] Richter K 2000 Semiclassical Theory of Mesoscopic Quantum Systems (New York: Springer) p 1
[4] Gutzwiller M C 1990 Chaos in Classical and Quantum Mechanics (New York: Springer) p 3
[5] Brack M and Bhaduri R K 1997 Semiclassical Physics (New York: Addison-Wesley Publishing Company) p 1
[6] Nazmitdinov R G, Pichugin K N, Rotter I and ?eba P 2002 Phys. Rev. B 66 085322
[7] Sohn L L, Kouwenhoven L P and Sch?n G 1997 Mesoscopic Electron Transport (Boston: Kluwer Academic Publishers) p 106
[8] Du M L and Delos J B 1987 Phys. Rev. Lett. 58 1731
[9] Du M L and Delos J B 1988 Phys. Rev. A 38 1896
[10] Zhang Y H, Zhang L Q, Xu X Y, Ge M H, Lin S L and Du M L 2006 Chin. Phys. 15 502
[11] Schwieters C D, Alford J A and Delos J B 1996 Phys. Rev. B 54 10652
[12] Wirtz L, Tang J Z and Burgd?rfer J 1997 Phys. Rev. B 56 7589
[13] Wirtz L, Stampfer C, Rotter S and Burgd?rfer J 2003 Phys. Rev. E 67 016206
[14] Stampfer C, Rotter S and Burgd?rfer J 2005 Phys. Rev. E 72 036223
[15] B?ezinová I, Stampfer C, Wirtz L, Rotter S and Burgd?rfer J 2008 Phys. Rev. B 77 165321
[16] B?ezinová I, Wirtz L, Rotter S, Stampfer C and Burgd?rfer J 2010 Phys. Rev. B 81 125308
[17] Landauer R 1957 IBM J. Res. Dev. 1 223
[18] Jensen R V 1991 Chaos 1 101
[19] Miller W H 1974 Adv. Chem. Phys. 25 69
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