Localization of electronic states in finite ladder models: Participation ratio and localization length as measures of the wave-function extension

Physical Review B - Condensed Matter and Materials Physics

Volumn 78, Issue 23, 2008, Pages

  Carrillo Nunez H ^a   Schulz, Peter A ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 57749108148     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.235404     Document Type: Article

References (48)

1. R. G. Endres, D. L. Cox, and R. R. P. Singh, Rev. Mod. Phys. 76, 195 (2004). 10.1103/RevModPhys.76.195
2. D. Porath, G. Cuniberti, and R. Di Felice, Charge Transport in DNA-Based Devices in Long-Range Charge Transfer in DNA II Topics in Current Chemistry (Springer, Berlin, 2004), Vol. 237.
3. E. Shapir, H. Cohen, A. Calzolari, C. Cavazzoni, D. A. Ryndyk, G. Cuniberti, A. Kotlyar, R. de Felice, and D. Porath, Nat. Mater. 7, 68 (2008). 10.1038/nmat2060
4. D. K. Klotsa, R. A. Roemer, and M. S. Turner, Biophys. J. 89, 2187 (2005). 10.1529/biophysj.105.064014
5. G. Cuniberti, L. Craco, D. Porath, and C. Dekker, Phys. Rev. B 65, 241314 (R) (2002). 10.1103/PhysRevB.65.241314
6. E. Diaz, A. V. Malyshev, and F. Dominguez-Adame, Phys. Rev. B 76, 205117 (2007). 10.1103/PhysRevB.76.205117
7. R. Gutiérrez, D. Porath, and G. Cuniberti, Charge Transport in Disordered Solids (Wiley, New York, 2006).
8. P. T. Henderson, D. Jones, G. Hampikian, Y. Z. Kan, and G. B. E. Schuster, Proc. Natl. Acad. Sci. U.S.A. 96, 8353 (1999) 10.1073/pnas.96.15.8353
9. M. Conwell and S. V. Rakhamova, Proc. Natl. Acad. Sci. U.S.A. 97, 4556 (2000). 10.1073/pnas.050074497
10. B. B. Schmidt, M. H. Hettler, and G. Schon, Phys. Rev. B 77, 165337 (2008). 10.1103/PhysRevB.77.165337
11. T. Kubar, P. B. Woiczikowski, G. Cuniberti, and M. Elstner, J. Phys. Chem. B 112, 7937 (2008). 10.1021/jp801486d
12. S. Roche, D. Bicout, E. Maciá, and E. Kats, Phys. Rev. Lett. 91, 228101 (2003). 10.1103/PhysRevLett.91.228101
13. R. A. Caetano and P. A. Schulz, Phys. Rev. Lett. 95, 126601 (2005). 10.1103/PhysRevLett.95.126601
14. V. Hernandez, C. Castiglioni, M. Del Zoppo, and G. Zerbi, Phys. Rev. B 50, 9815 (1994). 10.1103/PhysRevB.50.9815
15. F. Hohls, U. Zeitler, R. J. Haug, R. Meisels, K. Dybko, and F. Kuchar, Phys. Rev. Lett. 89, 276801 (2002). 10.1103/PhysRevLett.89.276801
16. T. Guhr, A. Mueller-Groeling, and H. A. Weidenmueller, Phys. Rep. 299, 189 (1998). 10.1016/S0370-1573(97)00088-4
17. G. Xiong and X. R. Wang, Phys. Lett. A 344, 64 (2005). 10.1016/j.physleta.2005.06.041
18. E. Diaz, A. Sedrakyan, D. Sedrakyan, and F. Dominguez-Adame, Phys. Rev. B 75, 014201 (2007). 10.1103/PhysRevB.75.014201
19. V. M. K. Bagci and A. A. Krokhin, Phys. Rev. B 76, 134202 (2007). 10.1103/PhysRevB.76.134202
20. E. Maciá, Phys. Rev. B 74, 245105 (2006). 10.1103/PhysRevB.74. 245105
21. C. T. Shih, S. Roche, and R. A. Romer, Phys. Rev. Lett. 100, 018105 (2008). 10.1103/PhysRevLett.100.018105
22. J. H. Wei, X. J. Liu, J. Berakdar, and Y. J. Yan, J. Chem. Phys. 128, 165101 (2008). 10.1063/1.2902279
23. J. T. Edwards and D. J. Thouless, J. Phys. C 5, 807 (1972). 10.1088/0022-3719/5/8/007
24. E. Hofstetter and M. Schreiber, Phys. Rev. B 48, 16979 (1993). 10.1103/PhysRevB.48.16979
25. R. J. Bell and P. Dean, Discuss. Faraday Soc. 50, 55 (1970). 10.1039/df9705000055
26. R. Johnston and H. Kunz, J. Phys. C 16, 3895 (1983). 10.1088/0022-3719/ 16/20/014
27. A. D. Mirlin and Y. V. Fyodorov, Phys. Rev. Lett. 72, 526 (1994). 10.1103/PhysRevLett.72.526
28. M. Janssen, Phys. Rep. 295, 1 (1998). 10.1016/S0370-1573(97)00050-1
29. D. J. Thouless, Phys. Rep. 13, 93 (1974). 10.1016/0370-1573(74)90029-5
30. M. Titov and Y. V. Fyodorov, Phys. Rev. B 61, R2444 (2000). 10.1103/PhysRevB.61.R2444
31. F. A. Pinheiro, M. Rusek, A. Orlowski, and B. A. van Tiggelen, Phys. Rev. E 69, 026605 (2004). 10.1103/PhysRevE.69.026605
32. S. Roche and E. Maciá, Mod. Phys. Lett. B 18, 847 (2004). 10.1142/S021798490400744X
33. D. S. Hu, C. P. Zhu, L. Q. Zhang, D. R. He, and B. H. Wang, Chin. Phys. Lett. 25, 1822 (2008). 10.1088/0256-307X/25/5/081
34. A. M. Guo and S. H. Xiong, Phys. Lett. A 372, 3259 (2008). 10.1016/j.physleta.2008.01.075
35. C. T. Shin, Chin. J. Phys. (Taipei) 45, 703 (2007).
36. R. L. Barnett, P. Maragakis, A. Turner, M. Fyta, and E. Kaxiras, J. Mater. Sci. 42, 8894 (2007). 10.1007/s10853-007-1901-6
37. H. Mehrez and M. P. Anantram, Phys. Rev. B 71, 115405 (2005). 10.1103/PhysRevB.71.115405
38. F. Sols, M. Macucci, U. Ravaioli, and K. Hess, J. Appl. Phys. 66, 3892 (1989). 10.1063/1.344032
39. E. R. Mucciolo and C. H. Lewenkopf (unpublished).
40. D. K. Ferry and S. M. Goodnick, Transport in Nanostructures (Cambridge University Press, Cambridge, 1997).
41. Y. Imry, Introduction to Mesoscopic Physics (Oxford University Press, New York, 1997).
42. D. A. Parshin and H. R. Schober, Phys. Rev. Lett. 83, 4590 (1999) 10.1103/PhysRevLett.83.4590
43. F. Evers and A. D. Mirlin, Phys. Rev. Lett. 84, 3690 (2000). 10.1103/PhysRevLett.84.3690
44. B. Kramer and A. MacKinnon, Rep. Prog. Phys. 56, 1469 (1993). 10.1088/0034-4885/56/12/001
45. Y. Song, W. A. Atkinson, and R. Wortis, Phys. Rev. B 76, 045105 (2007). 10.1103/PhysRevB.76.045105
46. I. F. dos Santos, F. A. B. F. de Moura, M. L. Lyra, and M. D. Coutinho-filho, J. Phys.: Condens. Matter 19, 476213 (2007). 10.1088/0953-8984/19/47/476213
47. A further aspect is the comparison of a localization measure previously used for closed systems, PN, with the conductance obtained from open systems. Besides that, the interesting behavior of lc at lower lengths should be addressed in future works but is not within the scope of the present one.
48. J. C. Cressoni and M. L. Lyra, Physica A 256, 18 (1998). 10.1016/S0378-4371(98)00117-4