Fluctuational instabilities of alkali and noble metal nanowires

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5471, Issue , 2004, Pages 367-379

  Burki J ^a   Stafford, C A ^a   Stein, D L ^a  

^a UNIVERSITY OF ARIZONA   (United States)

Author keywords

Lifetime; Nanowires; Thermal fluctuations

Indexed keywords

FREE ELECTRONS; LIFETIME; NANOWIRES; THERMAL FLUCTUATIONS;

ALKALI METALS; CONTINUUM MECHANICS; ELECTRIC CONDUCTANCE; PRECIOUS METALS; RANDOM PROCESSES; SCANNING TUNNELING MICROSCOPY; THERMAL EFFECTS;

NANOSTRUCTURED MATERIALS;

EID: 4344649525     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.546590     Document Type: Conference Paper

References (44)

1. Y. Kondo and K. Takayanagi, "Gold nanobridge stabilized by surface structure," Phys. Rev. Lett. 79, pp. 3455-3458, 1997.
2. Y. Kondo and K. Takayanagi, "Synthesis and characterization of helical multi-shell gold nanowires," Science 289, pp. 606-608, 2000.
3. F. Kassubek, C. A. Stafford, H. Grabert, and R. E. Goldstein, "Quantum suppression of the Rayleigh instability in nanowires," Nonlinearity 14, pp. 167-177, 2001.
4. C.-H. Zhang, F. Kassubek, and C. A. Stafford, "Surface fluctuations and the stability of metal nanowires," Phys. Rev. B 68, p. 165414, 2003.
5. D. F. Urban and H. Grabert, "Interplay of Rayleigh and Peierls instabilities in metallic nanowires,"' Phys. Rev. Lett. 91, p. 256803, 2003.
6. J. Bürki, R. E. Goldstein, and C. A. Stafford, "Quantum necking in stressed metallic nanowires," Phys. Rev. Lett. 91, p. 254501, 2003.
7. N. Agraït, J. G. Rodrigo, and S. Vieira, "Conductance steps and quantization in atomic-size contacts," Phys. Rev. B 47, pp. 12345-12348, 1993.
8. G. Rubio, N. Agraït, and S. Vieira, "Atomic-sized metallic contacts: mechanical properties and electronic transport," Phys. Rev. Lett. 76, pp. 2302-2305, 1996.
9. A. Stalder and U. Dürig, "Study of yielding mechanics in nanometer-sized Au contacts," Appl. Phys. Lett. 68, pp. 637-639, 1996.
10. M. Brandbyge, J. Schiøtz, M. R. Sørensen, P. Stoltze, K. W. Jacobsen, J. K. Nørskov, L. Olesen, E. Lægsgaard, I. Stensgaard, and F. Besenbacher, "Quantized conductance in atom-sized wires between two metals," Phys. Rev. B 52, pp. 8499-8514, 1995.
11. J. M. Krans, J. M. van Ruitenbeek, V. V. Fisun, I. K. Yanson, and L. J. de Jongh, "The signature of conductance quantization in metallic point contacts," Nature 375, pp. 767-769, 1995.
12. J. L. Costa-Krämer, N. García, P. García-Mochales, P. A. Serena, M. I. Marqués, and A. Correia, "Conductance quantization in nanowires formed between micro and macroscopic metallic electrodes," Phys. Rev. B 55, pp. 5416-5424, 1997.
13. A. I. Yanson, G. Rubio Bollinger, H. E. van den Brom, N. Agraït, and J. M. van Ruitenbeek, "Formation and manipulation of a metallic wire of single gold atoms," Nature 395, pp. 783-785, 1998.
14. N. Agraït, A. Levy Yeyati, and J. M. van Ruitenbeek, "Quantum properties of atomic-sized conductors," Phys. Rep. 377, pp. 81-279, 2003.
15. C. J. Muller, J. M. van Ruitenbeek, and L. J. de Jongh, "Experimental observation of the transition from weak link to tunnel junction," Phys. C191, pp. 485-504, 1992.
16. D. F. Urban, J. Bürki, A. I. Yanson, I. K. Yanson, C. A. Stafford, J. M. van Ruitenbeek, and H. Grabert, "Electronic shell effects and the stability of alkali nanowires." submitted to Solid State Communications, 2004.
17. P. Garcia-Mochales and P. A. Serena, "Disorder as origin of residual resistance in nanowires," Phys. Rev. Lett. 79, pp. 2316-2319, 1997.
18. J. Bürki, C. A. Stafford, X. Zotos, and D. Baeriswyl, "Cohesion and conductance of disordered metallic point contacts," Phys. Rev. B 60, pp. 5000-5008, 1999.
19. J. Bürki and C. A. Stafford, Statistics of quantum transport in metal nanowires with surface disorder, pp. 27-30. in Electronic Correlations: from meso- to nano-physics, edited by T. Martin, G. Montambaux, and J. Trân Thanh Vân, EDP Sciences, Les Ulis, France, 2001.
20. A. I. Yanson, I. K. Yanson, and J. M. van Ruitenbeek, "Observation of shell structure in sodium nanowires," Nature 400, pp. 144-146, 1999.
21. A. I. Yanson, I. K. Yanson, and J. M. van Ruitenbeek, "Supershell structure in alkali metal nanowires," Phys. Rev. Lett. 84, pp. 5832-5835, 2000.
22. A. I. Yanson, J. M. van Ruitenbeek, and I. K. Yanson, "Shell effects in alkali metal nanowires," Low Temp. Phys. 27, pp. 807-820, 2001.
23. M. Díaz, J. L. Costa-Krämer, E. Medina, A. Hasmy, and P. A. Serena, "Evidence of shell structures in Au nanowires at room temperature," Nanotech. 14, pp. 113-116, 2003.
24. A. I. Mares, A. F. Otte, R. H. M. Smit, and J. M. van Ruitenbeek, "Observation of electronic and atomic shell effects in gold nanowires." Preprint, cond-mat/0401330, 2004.
25. H. Ohnishi, Y. Kondo, and K. Takayanagi, "Quantized conductance through individual rows of suspended gold atoms," Nature 395, pp. 780-783, 1998.
26. M. Okamoto and K. Takayanagi, "Structure and conductance of a gold atomic chain," Phys. Rev. B 60, pp. 7808-7811, 1999.
27. V. Rodrigues, T. Fuhrer, and D. Ugarte, "Signature of atomic structure in the quantum conductance of gold nanowires," Phys. Rev. Lett. 85, pp. 4124-4127, 2000.
28. Y. Oshima, A. Onga, and K. Takayanagi, "Helical gold nanotube synthesized at 150 K," Phys. Rev. Lett. 91, p. 205503, 2003.
29. C. A. Stafford, D. Baeriswyl, and J. Bürki, "Jellium model of metallic nanocohesion," Phys. Rev. Lett. 79, pp. 2863-2866, 1997.
30. D. F. Urban, J. Bürki, C.-H. Zhang, C. A. Stafford, and H. Grabert, "Jahn-Teller distortions and the supershell effect in metal nanowires." cond-mat/0312517, 2003.
31. M. Brack and R. K. Bhaduri, Semiclassical physics, vol. 96 of Frontiers in physics, Edited by David Pines, Addison-Wesley publishing company, Inc., 1997.
32. C. A. Stafford, F. Kassubek, J. Bürki, and H. Grabert, "Universality in metallic nanocohesion: A quantum chaos approach," Phys. Rev. Lett. 83, pp. 4836-4839, 1999.
33. J. Bürki, C. A. Stafford, and D. L. Stein, unpublished, 2004.
34. J. S. Langer, "Statistical theory of the decay of metastable states," Ann. Phys. 54, pp. 258-275, 1969.
35. C. G. Callan and S. Coleman, "Fate of the false vacuum, ii: First quantum corrections," Phys. Rev. D 16, pp. 1762-1768, 1977.
36. W. G. Faris and G. Jona-Lasinio, "Large fluctuations for a nonlinear heat equation with noise," J. Phys. A 15, pp. 3025-3055, 1982.
37. F. Martinelli, E. Oliveiri, and E. Scoppola, "Small random perturbations of finite and infinite dimensional dynamical, systems: Unpredictability of exit times," J. Stat. Phys. 55, pp. 477-504, 1989.
38. A. J. McKane and M. B. Tarlie, "Regularization of functional determinants using boundary perturbations," Phys. Rev. E 28, pp. 6931-6942, 1995.
39. R. S. Maier and D. L. Stein. "Droplet nucleation and domain wall motion in a bounded interval," Phys. Rev. Lett. 87, p. 270601, 2001.
40. R. S. Maier and D. L. Stein, "Effects of weak spatiotemporal noise on a bistable one-dimensional system," in Noise in Complex Systems and Stochastic Dynamics, L. Schimansky-Geier, D. Abbott, A. Neiman, and C. V. den Broeck, eds., pp. 67-78, SPIE, Singapore, 2003.
41. D. L. Stein, "Critical behavior of the Kramers escape rate in asymmetric classical field theories," J. Stat. Phys. 114, pp. 1537-1556, 2004. Available as cond-mat/0311263.
42. R. S. Maier and D. L. Stein, "The escape problem for irreversible systems," Phys. Rev. E 48, pp. 931-938, Aug 1993.
43. M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, Dover, New York, 1965.
44. L. S. Schulman, Techniques and Applications of Path Integration, Wiley, New York, 1981.