Long electron dephasing length and disorder-induced spin-orbit coupling in indium tin oxide nanowires

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 19, 2010, Pages

  Hsu, Yao Wen ^a   Chiu, Shao Pin ^a   Lien, An Shao ^a   Lin, Juhn Jong ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78649728788     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.195429     Document Type: Article

References (41)

1. Y. Imry, Introduction to Mesoscopic Physics (Oxford University Press, Oxford, 1997).
2. Y. V. Nazarov and Y. M. Blanter, Quantum Transport: Introduction to Nanoscience (Cambridge University Press, Cambridge, 2009). 10.1017/ CBO9780511626906
3. S. Washburn and R. A. Webb, Adv. Phys. 35, 375 (1986). 10.1080/00018738600101921
4. B. L. Altshuler, A. G. Aronov, M. E. Gershenson, and Yu. V. Sharvin, Sov. Sci. Rev., Sect. A 9, 223 (1987).
5. J. J. Lin and J. P. Bird, J. Phys.: Condens. Matter 14, R501 (2002). 10.1088/0953-8984/14/18/201
6. Compared with other quantum-interference phenomena, the weak-(anti)localization method provides the most quantitative way for extracting the electron dephasing time (Refs.).
7. S. P. Chiu, H. F. Chung, Y. H. Lin, J. J. Kai, F. R. Chen, and J. J. Lin, Nanotechnology 20, 105203 (2009). 10.1088/0957-4484/20/10/105203
8. S. P. Chiu, Y. H. Lin, and J. J. Lin, Nanotechnology 20, 015203 (2009). 10.1088/0957-4484/20/1/015203
9. Q. Wan, E. N. Dattoli, W. Y. Fung, W. Guo, Y. Chen, X. Pan, and W. Lu, Nano Lett. 6, 2909 (2006). 10.1021/nl062213d
10. D. Lin, H. Wu, R. Zhang, and W. Pan, Nanotechnology 18, 465301 (2007). 10.1088/0957-4484/18/46/465301
11. C. O'Dwyer, M. Szachowicz, G. Visimberga, V. Lavayen, S. B. Newcomb, and C. M. S. Torres, Nat. Nanotechnol. 4, 239 (2009). 10.1038/nnano.2008.418
12. O. N. Mryasov and A. J. Freeman, Phys. Rev. B 64, 233111 (2001). 10.1103/PhysRevB.64.233111
13. Z. Q. Li and J. J. Lin, J. Appl. Phys. 96, 5918 (2004). 10.1063/1.1801153
14. R. B. H. Tahar, T. Ban, Y. Ohya, and Y. Takahashi, J. Appl. Phys. 83, 2631 (1998). 10.1063/1.367025
15. A. J. Chiquito, A. J. C. Lanfredi, R. F. M. de Oliveira, L. P. Pozzi, and E. R. Leite, Nano Lett. 7, 1439 (2007). 10.1021/nl070178k
16. F. Pierre, A. B. Gougam, A. Anthore, H. Pothier, D. Esteve, and N. O. Birge, Phys. Rev. B 68, 085413 (2003) 10.1103/PhysRevB.68.085413
17. Y. Niimi, Y. Baines, T. Capron, D. Mailly, F. Y. Lo, A. D. Wieck, T. Meunier, L. Saminadayar, and C. Bäuerle, Phys. Rev. B 81, 245306 (2010). 10.1103/PhysRevB.81.245306
18. While our ITO nanowires are one-dimensional with regard to the quantum-interference weak-(anti)localization effect, they are three dimensional with regard to the classical Boltzmann transport, i.e., the electron mean-free path l < d, the diameter of nanowire.
19. F = 0.7 and 0.4 eV in the ITO-r and ITO-f nanowires, respectively. See Refs..
20. G. Bergmann, Solid State Commun. 42, 815 (1982). 10.1016/0038-1098(82) 90013-8
21. P. Santhanam, S. Wind, and D. E. Prober, Phys. Rev. B 35, 3188 (1987). 10.1103/PhysRevB.35.3188
22. We note that, in the studies of short nanowires, the effect of measurement-probe geometry on one-dimensional weak-localization magnetoresistance should be treated with caution and may not be always neglected, see V. Chandrasekhar, D. E. Prober, and P. Santhanam, Phys. Rev. Lett. 61, 2253 (1988) 10.1103/PhysRevLett.61.2253
23. O. M. Berengue, A. J. C. Lanfredi, L. P. Pozzi, J. F. Q. Rey, E. R. Leite, and A. J. Chiquito, Nanoscale Res. Lett. 4, 921 (2009). 10.1007/s11671-009-9336-4
24. D. Liang, M. R. Sakr, and X. P. A. Gao, Nano Lett. 9, 1709 (2009). 10.1021/nl900424k
25. D. Liang, J. Du, and X. P. A. Gao, Phys. Rev. B 81, 153304 (2010). 10.1103/PhysRevB.81.153304
26. F. J. Rueß, B. Weber, K. E. J. Goh, O. Klochan, A. R. Hamilton, and M. Y. Simmons, Phys. Rev. B 76, 085403 (2007). 10.1103/PhysRevB.76.085403
27. J. J. Lin and N. Giordano, Phys. Rev. B 35, 1071 (1987). 10.1103/PhysRevB.35.1071
28. P. Mohanty, E. M. Q. Jariwala, and R. A. Webb, Phys. Rev. Lett. 78, 3366 (1997). 10.1103/PhysRevLett.78.3366
29. J. J. Lin, T. J. Li, and Y. L. Zhong, J. Phys. Soc. Jpn. 72 (Suppl. A), 7 (2003).
30. S. M. Huang, T. C. Lee, H. Akimoto, K. Kono, and J. J. Lin, Phys. Rev. Lett. 99, 046601 (2007). 10.1103/PhysRevLett.99.046601
31. A. Sergeev and V. Mitin, Phys. Rev. B 61, 6041 (2000). 10.1103/PhysRevB.61.6041
32. Y. L. Zhong, A. Sergeev, C. D. Chen, and J. J. Lin, Phys. Rev. Lett. 104, 206803 (2010). 10.1103/PhysRevLett.104.206803
33. Recent experiment (Ref.) reported that the resistivities of ITO nanowires grown under nominally similar conditions could vary widely, from ∼ 100 μ Ω cm to values higher than several thousands of microhm centimeter. In our case, the resistivity differs by a much smaller factor of < 10 (Ref.).
34. A. A. Abrikosov and L. P. Gorkov, Zh. Eksp. Teor. Fiz. 42, 1088 (1962)
35. A. A. Abrikosov and L. P. Gorkov, [Sov. Phys. JETP 15, 752 (1962)].
36. G. Bergmann and C. Horriar-Esser, Phys. Rev. B 31, 1161 (1985). 10.1103/PhysRevB.31.1161
37. G. Bergmann, Phys. Rep. 107, 1 (1984) 10.1016/0370-1573(84)90103-0
38. G. Bergmann, Int. J. Mod. Phys. B 24, 2015 (2010). 10.1142/ S021797921006468X
39. I. Žutić, J. Fabian, and S. Das Sarma, Rev. Mod. Phys. 76, 323 (2004). 10.1103/RevModPhys.76.323
40. C. Y. Wu and J. J. Lin, Phys. Rev. B 50, 385 (1994). 10.1103/PhysRevB.50. 385
41. Least-squares fits of our measured magnetoresistances with a combined one-dimensional and three-dimensional weak-localization expression did not lead to acceptable values of the adjustable parameters. A weak-localization theory in the crossover regime is yet to be established.