Hopping dynamics of interacting polarons

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 3, 2009, Pages

  Ciuchi, S ^a,b   Fratini, S ^c,d  

^a UNIVERSITY OF L'AQUILA   (Italy)

^b INFM   (Italy)

^c CNRS   (France)

^d INSTITUTO DE CIENCIA DE MATERIALES DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 60349091034     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.035113     Document Type: Article

References (50)

1. M. E. Gershenson, V. Podzorov, and A. F. Morpurgo, Rev. Mod. Phys. 78, 973 (2006). 10.1103/RevModPhys.78.973
2. I. N. Hulea, S. Fratini, H. Xie, C. L. Mulder, N. N. Iossad, G. Rastelli, S. Ciuchi, and A. F. Morpurgo, Nature Mater. 5, 982 (2006). 10.1038/nmat1774
3. S. Q. Wang and G. D. Mahan, Phys. Rev. B 6, 4517 (1972). 10.1103/PhysRevB.6.4517
4. K. Hess and P. Vogl, Solid State Commun. 30, 807 (1979). 10.1016/0038-1098(79)90051-6
5. N. Mori and T. Ando, Phys. Rev. B 40, 6175 (1989). 10.1103/PhysRevB.40. 6175
6. M. V. Fischetti, D. A. Neumayer, and E. A. Cartier, J. Appl. Phys. 90, 4587 (2001). 10.1063/1.1405826
7. R. Chau, S. Datta, M. Doczy, B. Doyle, J. Kavalieros, and M. Metz, IEEE Electron Device Lett. 25, 408 (2004). 10.1109/LED.2004.828570
8. S. Fratini and F. Guinea, Phys. Rev. B 77, 195415 (2008). 10.1103/PhysRevB.77.195415
9. S. Fratini, H. Xie, I. N. Hulea, S. Ciuchi, and A. F. Morpurgo, New J. Phys. 10, 033031 (2008). 10.1088/1367-2630/10/3/033031
10. I. G. Austin and N. F. Mott, Adv. Phys. 18, 41 (1969). 10.1080/00018736900101267
11. A. Ohtomo and H. Y. Hwang, Nature (London) 427, 423 (2004). 10.1038/nature02308
12. H. Alves, A. S. Molinari, H. Xie, and A. F. Morpurgo, Nature Mater. 7, 574 (2008). 10.1038/nmat2205
13. C. H. Ahn, A. Bhattacharya, M. Di Ventra, J. N. Eckstein, C. Daniel Frisbie, M. E. Gershenson, A. M. Goldman, I. H. Inoue, J. Mannhart, A. J. Millis, A. F. Morpurgo, D. Natelson, and J.-M. Triscone, Rev. Mod. Phys. 78, 1185 (2006). 10.1103/RevModPhys.78.1185
14. W. J. Pardee and G. D. Mahan, J. Solid State Chem. 15, 310 (1975). 10.1016/0022-4596(75)90287-X
15. G. D. Mahan, Phys. Rev. B 14, 780 (1976). 10.1103/PhysRevB.14.780
16. T. Holstein, Ann. Phys. (N.Y.) 8, 343 (1959). 10.1016/0003-4916(59)90003- X
17. I. G. Lang and Yu. A. Firsov, Sov. Phys. Solid State 9, 2701 (1968).
18. F. Bassani, M. Geddo, G. Iadonisi, and D. Ninno, Phys. Rev. B 43, 5296 (1991). 10.1103/PhysRevB.43.5296
19. G. Verbist, M. A. Smondyrev, F. M. Peeters, and J. T. Devreese, Phys. Rev. B 45, 5262 (1992). 10.1103/PhysRevB.45.5262
20. S. Paganelli and S. Ciuchi, J. Phys.: Condens. Matter 20, 235203 (2008). 10.1088/0953-8984/20/23/235203
21. D. Emin and T. Holstein, Ann. Phys. (N.Y.) 53, 439 (1969). 10.1016/0003-4916(69)90034-7
22. 2 monotonically decreases with the distance z to the interface.
23. J. Schnakenberg, Phys. Status Solidi 28, 623 (1968). 10.1002/pssb. 19680280220
24. R. A. Marcus, Rev. Mod. Phys. 65, 599 (1993). 10.1103/RevModPhys.65.599
25. V. Coropceanu, J. Cornil, D. A. da Silva Filho, Y. Olivier, R. Silbey, and J.-L. Brédas, Chem. Rev. 107, 926 (2007). 10.1021/cr050140x
26. Equation 39 has the meaning of a spatial average over the fields ξ encountered by the different particles that hop. These are treated as static variables in virtue of the decoupling of time scales discussed after Eq. 36. Relaxing this approximation could modify qualitatively the rate process beyond Eq. 39 [see R. Zwanzig, Acc. Chem. Res. 23, 148 (1990)]. 10.1021/ar00173a005
27. D. Emin, Phys. Rev. B 46, 9419 (1992). 10.1103/PhysRevB.46.9419
28. L. Murawski, C. H. Chung, and J. D. Mackenzie, J. Non-Cryst. Solids 32, 91 (1979). 10.1016/0022-3093(79)90066-8
29. A. Miller and E. Abrahams, Phys. Rev. 120, 745 (1960). 10.1103/PhysRev.120.745
30. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic, London, 1976).
31. S. Ichimaru, Rev. Mod. Phys. 54, 1017 (1982). 10.1103/RevModPhys.54.1017
32. S. Fratini, A. F. Morpurgo, and S. Ciuchi, J. Phys. Chem. Solids 69, 2195 (2008). 10.1016/j.jpcs.2008.03.039
33. H. Totsuji, Phys. Rev. A 17, 399 (1978). 10.1103/PhysRevA.17.399
34. The condition for adiabatic transport is fulfilled in such devices, as the ratio between the left-hand side and the right-hand side of Eq. 37 is ∼0.3 at room temperature. Actually such value places these devices close to the adiabatic/nonadiabatic crossover, where the polaronic activation energy changes from ΔP = (g2 /4k) -t to the nonadiabatic value ΔP = (g2 /4k). This can be at the origin of the missing correction -t in the activation energy reported in Refs..
35. G. D. Mahan, Many-Particle Physics, 3rd ed. (Plenum, New York, 2000).
36. A. Kozłowski, R. J. Rasmussen, J. E. Sabol, P. Metcalf, and J. M. Honig, Phys. Rev. B 48, 2057 (1993). 10.1103/PhysRevB.48.2057
37. D. C. Worledge, L. Miéville, and T. H. Geballe, Phys. Rev. B 57, 15267 (1998). 10.1103/PhysRevB.57.15267
38. T. T. M. Palstra, A. P. Ramirez, S. W. Cheong, B. R. Zegarski, P. Schiffer, and J. Zaanen, Phys. Rev. B 56, 5104 (1997). 10.1103/PhysRevB.56.5104
39. J. L. Cohn, C. Chiorescu, and J. J. Neumeier, Phys. Rev. B 72, 024422 (2005). 10.1103/PhysRevB.72.024422
40. J. L. Cohn, M. Peterca, and J. J. Neumeier, Phys. Rev. B 70, 214433 (2004). 10.1103/PhysRevB.70.214433
41. H. Shimotani, H. Asanuma, J. Takeya, and Y. Iwasa, Appl. Phys. Lett. 89, 203501 (2006). 10.1063/1.2387884
42. M. J. Panzer and C. D. Frisbie, J. Am. Chem. Soc. 129, 6599 (2007). 10.1021/ja0708767
43. T. L. Aselage, D. Emin, and S. S. McCready, Phys. Rev. B 64, 054302 (2001). 10.1103/PhysRevB.64.054302
44. D. Emin, Phys. Rev. Lett. 35, 882 (1975). 10.1103/PhysRevLett.35.882
45. M. J. Burns and P. M. Chaikin, J. Phys. C 18, L743 (1985). 10.1088/0022-3719/18/24/006
46. S. M. Girvin, J. Solid State Chem. 25, 65 (1978). 10.1016/0022-4596(78) 90044-0
47. M. Jaime, M. B. Salamon, M. Rubinstein, R. E. Treece, J. S. Horwitz, and D. B. Chrisey, Phys. Rev. B 54, 11914 (1996). 10.1103/PhysRevB.54.11914
48. K. P. Pernstich, B. Rössner, and B. Batlogg, Nature Mater. 7, 321 (2008). 10.1038/nmat2120
49. J. Sak, Phys. Rev. B 6, 3981 (1972). 10.1103/PhysRevB.6.3981
50. Interaction 1 was derived from the macroscopic laws of electrostatics that are valid at distances >a. In real interfaces, the discrete nature of the polarizable medium should lead to an additional short-range cutoff at lengths on the order of the interionic spacing. To a first approximation, this effect can be incorporated by treating z as an effective phenomenological quantity which includes both the channel-interface distance and the lattice cutoff.