Viscous corrections to the resistance of nanojunctions: A dispersion relation approach

Physical Review B - Condensed Matter and Materials Physics

Volumn 83, Issue 7, 2011, Pages

  Roy, Dibyendu ^a   Vignale, Giovanni ^b   Di Ventra, Massimiliano ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF MISSOURI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961075444     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.83.075428     Document Type: Article

References (25)

1. L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Course of Theoretical Physics (Butterworth-Heinemann, Oxford, 1987), Vol. 6.
2. P. Nozieres and D. Pines, The Theory of Quantum Liquids (Westview Press, Boulder, CO, 1999), Vol. 1.
3. G. F. Giuliani and G. Vignale, Quantum Theory of the Electron Liquid (Cambridge University Press, Cambridge, England, 2005).
4. A. A. Abrikosov and I. M. Khalatnikov, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/22/1/310 22, 329 (1959).
5. M. Di Ventra, Electrical Transport in Nanoscale Systems (Cambridge University Press, Cambridge, England, 2008).
6. M. Büttiker, Y. Imry, R. Landauer, and S. Pinhas, Phys. Rev. B RPPHAG 1098-0121 10.1103/PhysRevB.31.6207 31, 6207 (1985).
7. N. Sai, M. Zwolak, G. Vignale, and M. Di Ventra, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.186810 94, 186810 (2005). (Pubitemid 41493078)
8. N. Sai, M. Zwolak, G. Vignale, and M. Di Ventra, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.259702 98, 259702 (2007). (Pubitemid 47139938)
9. G. Vignale and W. Kohn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.2037 77, 2037 (1996).
10. G. Vignale, C. A. Ullrich, and S. Conti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.4878 79, 4878 (1997).
11. G. Vignale and M. Di Ventra, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.79.014201 79, 014201 (2009).
12. See, for example, M. Di Ventra, S. T. Pantelides, and N. D. Lang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.979 84, 979 (2000);
13. M. Di Ventra and N. D. Lang, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.65.045402 65, 045402 (2001);
14. Y. Xue, S. Datta, and M. A. Ratner, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1391253 115, 4292 (2001); (Pubitemid 32841428)
15. J. J. Palacios, A. J. Peùrez-Jimenez, E. Louis, E. SanFabian, and J. A. Verges, Phys. Rev. B JCPSA6 1098-0121 10.1103/PhysRevB.66.035322 66, 035322 (2002).
16. See, for example, C. Toher, A. Filippetti, S. Sanvito, and K. Burke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.146402 95, 146402 (2005). (Pubitemid 41777596)
17. A similar effect was recently noted in the calculation of the zero-temperature resistivity of bulk metals [V. U. Nazarov, G. Vignale, and Y.-C. Chang (unpublished)]: plain electron-impurity scattering underestimates the resistivity, and the inclusion of the exchange-correlation viscosity brings it in better agreement with the experiment. Also, while not arriving at the same Eq., similar conclusions about the presence of many-body corrections to the Landauer formula have been reached in M. Koentopp, K. Burke, and F. Evers, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.73.121403 73, 121403 (2006). (Pubitemid 43491786)
18. S. Conti and G. Vignale, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.60.7966 60, 7966 (1999).
19. J. Jung, P. Bokes, and R. W. Godby, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.259701 98, 259701 (2007). (Pubitemid 47139939)
20. M. Di Ventra and T. N. Todorov, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/45/024 16, 8025 (2004).
21. R. D'Agosta and M. Di Ventra, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/18/49/001 18, 11059 (2006). (Pubitemid 46069785)
22. R. D'Agosta, N. Sai, and M. Di Ventra, Nano Lett. NALEFD 1530-6984 10.1021/nl062316w 6, 2935 (2006). (Pubitemid 46129597)
23. I. V. Tokatly, Phys. Rev. B NALEFD 1098-0121 10.1103/PhysRevB.71.165105 71, 165105 (2005). (Pubitemid 41749455)
24. J. P. Perdew and Y. Wang, Phys. Rev. B NALEFD 1098-0121 10.1103/PhysRevB.45.13244 45, 13244 (1992).
25. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Course of Theoretical Physics (Butterworth-Heinemann, Oxford, 1997), Vol. 3.