Chaotic transport in low-dimensional superlattices

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 8, 2003, Pages 813031-813034

  Zwolak, Michael ^a   Ferguson, David ^a   Di Ventra, Massimiliano ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALUMINUM DERIVATIVE; GALLIUM ARSENIDE;

ARTICLE; CHAOTIC DYNAMICS; CRYSTAL STRUCTURE; ELECTRIC CURRENT; ELECTRIC FIELD; ELECTRIC POTENTIAL; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MOLECULAR MECHANICS; MOLECULAR MODEL; OSCILLATION; QUANTUM DOT; QUANTUM MECHANICS; SOLID STATE; SUPERLATTICE;

EID: 9744277801     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.67.081303     Document Type: Article

References (22)

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2. O.M. Bulashenko and L.L. Bonilla, Phys. Rev. B 52, 7849 (1995); O.M. Bulashenko, M.J. Garcia, and L.L. Bonilla, ibid. 53, 10 008 (1996). For a recent review, see, e.g., A. Wacker, Phys. Rep. 357, 1 (2002).
3. O.M. Bulashenko and L.L. Bonilla, Phys. Rev. B 52, 7849 (1995); O.M. Bulashenko, M.J. Garcia, and L.L. Bonilla, ibid. 53, 10 008 (1996). For a recent review, see, e.g., A. Wacker, Phys. Rep. 357, 1 (2002).
4. Y. Zhang, J. Kastrup, R. Klann, K.H. Ploog, and H.T. Grahn, Phys. Rev. Lett. 77, 3001 (1996).
5. Note that domain walls have been predicted also in wide- miniband superlattices due to the negative effective mass of Bloch electrons in the miniband [see, e.g., J.C. Cao, H.C. Liu, X.L. Lei, and A.G. U Perera, Phys. Rev. B 63, 115308 (2001), and references therein], and also under time-independent external voltage conditions [see, e.g., A. Amann, J. Schlesner, A. Wacker, E. Schöll, ibid. 65, 193313 (2002)]. We leave these cases for future studies
6. Note that domain walls have been predicted also in wide- miniband superlattices due to the negative effective mass of Bloch electrons in the miniband [see, e.g., J.C. Cao, H.C. Liu, X.L. Lei, and A.G. U Perera, Phys. Rev. B 63, 115308 (2001), and references therein], and also under time-independent external voltage conditions [see, e.g., A. Amann, J. Schlesner, A. Wacker, E. Schöll, ibid. 65, 193313 (2002)]. We leave these cases for future studies
7. K.J. Luo, H.T. Grahn, K.H. Ploog, and L.L. Bonilla, Phys. Rev. Lett. 81, 1290 (1998).
8. See, e.g., M.S. Dresselhaus, G. Dresselhaus, and P.C. Eklund, Science of Fullerenes and Carbon Nanotubes (Academic, San Diego, CA, 1996); Molecular Electronics II, edited by A. Aviram, M.A. Ratner and V. Mujica (New York Academy of Sciences, New York, 2002).
9. See, e.g., M.S. Dresselhaus, G. Dresselhaus, and P.C. Eklund, Science of Fullerenes and Carbon Nanotubes (Academic, San Diego, CA, 1996); Molecular Electronics II, edited by A. Aviram, M.A. Ratner and V. Mujica (New York Academy of Sciences, New York, 2002).
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12. M. Di Ventra and N.D. Lang, Phys. Rev. B 65, 045402 (2002); M. Di Ventra, S.T. Pantelides, and N.D. Lang, Phys. Rev. Lett. 84, 979 (2000); M. Di Ventra, S.T. Pantelides, and N.D. Lang, Appl. Phys. Lett. 76, 3448 (2000).
13. M. Di Ventra and N.D. Lang, Phys. Rev. B 65, 045402 (2002); M. Di Ventra, S.T. Pantelides, and N.D. Lang, Phys. Rev. Lett. 84, 979 (2000); M. Di Ventra, S.T. Pantelides, and N.D. Lang, Appl. Phys. Lett. 76, 3448 (2000).
14. M.S. Gudiksen, L.J. Lauhon, J. Wang, D.C. Smith, and C.M. Lieber, Nature (London) 415, 617 (2002).
15. Variations in electronic structure can be caused, for instance, by variations in unit cell size and shape.
16. M. Zwolak, D. Ferguson, and M. Di Ventra (unpublished).
17. We will consider in the following a value of the external dc bias that induces negative differential resistance across the unit cells.
18. L.L. Bonilla, G. Platero, and D. Sanchez, Phys. Rev. B 62, 2786 (2000); R. Aguado, G. Platero, M. Moscoso, and L.L. Bonilla, ibid. 55, 16053 (1997).
19. L.L. Bonilla, G. Platero, and D. Sanchez, Phys. Rev. B 62, 2786 (2000); R. Aguado, G. Platero, M. Moscoso, and L.L. Bonilla, ibid. 55, 16053 (1997).
20. Note that this expression of the current reduces exactly to that reported by Bulashenko and Bonilla for the 2D case (See Ref. 1).
21. We want to stress that in the 0D and 1D case current oscillations and chaos can also be obtained with no doping.
22. See, e.g., M. Narihiro, G. Yusa, Y. Nakamura, T. Noda, and H. Sakaki, Appl. Phys. Lett. 70, 105 (1997).