Dissipative time-dependent quantum transport theory

Journal of Chemical Physics

Volumn 138, Issue 16, 2013, Pages

  Zhang, Yu ^a   Yam, Chi Yung ^a   Chen, Guanhua ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON PHONON COUPLINGS; EQUATION OF MOTION; INELASTIC EFFECTS; PRACTICAL IMPLEMENTATION; TIGHT BINDING MODEL; TIME DEPENDENT DENSITY FUNCTIONAL THEORY; TIME-DEPENDENT TREATMENT; TRANSIENT CURRENT;

DENSITY FUNCTIONAL THEORY; ELECTRODES; ELECTRON CORRELATIONS; EQUATIONS OF MOTION; QUANTUM ELECTRONICS; STATISTICAL MECHANICS;

ELECTRON-PHONON INTERACTIONS;

ELECTRODE; ELECTRON; PHONON; QUANTUM THEORY; TIME; ARTICLE;

ELECTRODES; ELECTRONS; PHONONS; QUANTUM THEORY; TIME FACTORS;

EID: 84877272329     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4802592     Document Type: Article

References (45)

1. A.-P. Jauho, N. S. Wingreen, and Y. Meir, Phys. Rev. B 50, 5528 (1994). 10.1103/PhysRevB.50.5528
2. S. Kurth, G. Stefanucci, C.-O. Almbladh, A. Rubio, and E. K. U. Gross, Phys. Rev. B 72, 035308 (2005). 10.1103/PhysRevB.72.035308
3. X. Zheng, F. Wang, C. Y. Yam, Y. Mo, and G. H. Chen, Phys. Rev. B 75, 195127 (2007). 10.1103/PhysRevB.75.195127
4. X. Zheng, G. H. Chen, Y. Mo, S. Koo, H. Tian, C. Y. Yam, and Y. Yan, J. Chem. Phys. 133, 114101 (2010). 10.1063/1.3475566
5. Y. Zhang, S. Chen, and G. H. Chen, Phys. Rev. B 87, 085110 (2013). 10.1103/PhysRevB.87.085110
6. H. Xie, F. Jiang, H. Tian, X. Zheng, Y. Kwok, S. Chen, C. Y. Yam, Y. Yan, and G. H. Chen, J. Chem. Phys. 137, 044113 (2012). 10.1063/1.4737864
7. D. G. Tempel, M. A. Watson, R. Olivares-Amaya, and A. Aspuru-Guzik, J. Chem. Phys. 134, 074116 (2011). 10.1063/1.3549816
8. M. D. Ventra and T. N. Todorov, J. Phys.: Condens. Matter 16, 8025 (2004). 10.1088/0953-8984/16/45/024
9. S. Chen, H. Xie, Y. Zhang, X. Cui, and G. H. Chen, Nanoscale 5, 169 (2013). 10.1039/c2nr32343e
10. X. Zheng, C. Y. Yam, F. Wang, and G. H. Chen, Phys. Chem. Chem. Phys. 13, 14358 (2011). 10.1039/c1cp20777f
11. E. Runge and E. K. U. Gross, Phys. Rev. Lett. 52, 997 (1984). 10.1103/PhysRevLett.52.997
12. C. Y. Yam, Y. Mo, F. Wang, X. Li, G. H. Chen, X. Zheng, Y. Matsuda, J. Tahir-Kheli, and W. A. Goddard III, Nanotechnology 19, 495203 (2008). 10.1088/0957-4484/19/49/495203
13. J. Jin, X. Zheng, and Y. Yan, J. Chem. Phys. 128, 234703 (2008). 10.1063/1.2938087
14. M. Kumar, R. Avriller, A. L. Yeyati, and J. M. van Ruitenbeek, Phys. Rev. Lett. 108, 146602 (2012). 10.1103/PhysRevLett.108.146602
15. N. Agraït, C. Untiedt, G. Rubio-Bollinger, and S. Vieira, Phys. Rev. Lett. 88, 216803 (2002). 10.1103/PhysRevLett.88.216803
16. M. Paulsson, T. Frederiksen, and M. Brandbyge, J. Phys.: Conf. Ser. 35, 247 (2006). 10.1088/1742-6596/35/1/022
17. M. Paulsson, T. Frederiksen, and M. Brandbyge, Phys. Rev. B 72, 201101 (2005). 10.1103/PhysRevB.72.201101
18. M. Paulsson, T. Frederiksen, H. Ueba, N. Lorente, and M. Brandbyge, Phys. Rev. Lett. 100, 226604 (2008). 10.1103/PhysRevLett.100.226604
19. J. K. Viljas, J. C. Cuevas, F. Pauly, and M. Häfner, Phys. Rev. B 72, 245415 (2005). 10.1103/PhysRevB.72.245415
20. M. Galperin, M. A. Ratner, and A. Nitzan, J. Phys.: Condens. Matter 19, 103201 (2007). 10.1088/0953-8984/19/10/103201
21. H. Mera, M. Lannoo, C. Li, N. Cavassilas, and M. Bescond, Phys. Rev. B 86, 161404 (2012). 10.1103/PhysRevB.86.161404
22. R. Avriller and T. Frederiksen, Phys. Rev. B 86, 155411 (2012). 10.1103/PhysRevB.86.155411
23. A. J. White and M. Galperin, Phys. Chem. Chem. Phys. 14, 13809 (2012). 10.1039/c2cp41017f
24. Y. Dubi and M. Di Ventra, Rev. Mod. Phys. 83, 131 (2011). 10.1103/RevModPhys.83.131
25. S. Ballmann, R. Härtle, P. B. Coto, M. Elbing, M. Mayor, M. R. Bryce, M. Thoss, and H. B. Weber, Phys. Rev. Lett. 109, 056801 (2012). 10.1103/PhysRevLett.109.056801
26. R. Härtle, M. Butzin, O. Rubio-Pons, and M. Thoss, Phys. Rev. Lett. 107, 046802 (2011). 10.1103/PhysRevLett.107.046802
27. K. Burke, R. Car, and R. Gebauer, Phys. Rev. Lett. 94, 146803 (2005). 10.1103/PhysRevLett.94.146803
28. T. Frederiksen, M. Paulsson, M. Brandbyge, and A.-P. Jauho, Phys. Rev. B 75, 205413 (2007). 10.1103/PhysRevB.75.205413
29. W. Lee, N. Jean, and S. Sanvito, Phys. Rev. B 79, 085120 (2009). 10.1103/PhysRevB.79.085120
30. J. Hu, R.-X. Xu, and Y. Yan, J. Chem. Phys. 133, 101106 (2010). 10.1063/1.3484491
31. A. B. Migdal, Sov. Phys. JETP 7, 996 (1958).
32. L. K. Dash, H. Ness, and R. W. Godby, Phys. Rev. B 84, 085433 (2011). 10.1103/PhysRevB.84.085433
33. J. Rammer, Quantum Field Theory of Non-Equilibrium States, revised edition (Cambridge University Press, 2007).
34. J. M. Luttinger, Phys. Rev. 119, 1153 (1960). 10.1103/PhysRev.119.1153
35. J. M. Luttinger and J. C. Ward, Phys. Rev. 118, 1417 (1960). 10.1103/PhysRev.118.1417
36. G. Baym, Phys. Rev. 127, 1391 (1962). 10.1103/PhysRev.127.1391
37. G. Baym and L. P. Kadanoff, Phys. Rev. 124, 287 (1961). 10.1103/PhysRev.124.287
38. T. Ji, Inelastic electron tunneling spectroscopy in molecular electronic devices from first-principles., Ph.D. dissertation (McGill University, 2010).
39. H. Haug and A.-P. Jauho, Quantum Kinetics in Transport and Optics of Semiconductors, 2nd ed., Springer Series in Solid-State Sciences Vol. 123 (Springer, 2008).
40. M. Büttiker, Phys. Rev. B 33, 3020 (1986). 10.1103/PhysRevB.33.3020
41. T. Frederiksen, M. Brandbyge, N. Lorente, and A.-P. Jauho, Phys. Rev. Lett. 93, 256601 (2004). 10.1103/PhysRevLett.93.256601
42. A. Stan, N. E. Dahlen, and R. van Leeuwen, J. Chem. Phys. 130, 224101 (2009). 10.1063/1.3127247
43. Y. Saad, Iterative Methods for Sparse Linear Systems, 2nd ed. (Society for Industrial and Applied Mathematics, 2003).
44. W. P. Su, J. R. Schrieffer, and A. J. Heeger, Phys. Rev. Lett. 42, 1698 (1979). 10.1103/PhysRevLett.42.1698
45. M. Galperin, M. A. Ratner, A. Nitzan, and A. Troisi, Science 319, 1056 (2008). 10.1126/science.1146556