Iterative summation of path integrals for nonequilibrium molecular quantum transport

Physical Review B - Condensed Matter and Materials Physics

Volumn 85, Issue 12, 2012, Pages

  Hutzen R ^a   Weiss, S ^a,b   Thorwart, M ^b   Egger, R ^a  

^a HEINRICH HEINE UNIVERSITY   (Germany)

^b UNIVERSITY OF HAMBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84859014679     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.85.121408     Document Type: Article

References (35)

1. J. C. Cuevas and E. Scheer, Molecular electronics: An Introduction to Theory and Experiment (World Scientific, Singapore, 2010).
2. N. A. Zimbovskaya and M. R. Pederson, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2011.08.002 509, 1 (2011).
3. M. Galperin, M. A. Ratner, and A. Nitzan, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/19/10/103201 19, 103201 (2007). (Pubitemid 46485357)
4. H. G. Craighead, Science SCIEAS 0036-8075 10.1126/science.290.5496.1532 290, 1532 (2000);
5. M. L. Roukes, Phys. World 14, 25 (2001).
6. O. Tal, M. Krieger, B. Leerink, and J. M. van Ruitenbeek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.196804 100, 196804 (2008). (Pubitemid 351692644)
7. G. A. Steele, A. K. Hüttel, B. Witkamp, M. Poot, H. B. Meerwaldt, L. P. Kouwenhoven, and H. S. J. van der Zant, Science SCIEAS 0036-8075 10.1126/science.1176076 325, 1103 (2009).
8. B. Lassagne, Y. Tarakanov, J. Kinaret, D. Garcia-Sanchez, and A. Bachtold, Science SCIEAS 0036-8075 10.1126/science.1174290 325, 1107 (2009).
9. R. Leturcq, C. Stampfer, K. Inderbitzin, L. Durrer, C. Hierold, E. Mariani, M. G. Schultz, F. von Oppen, and K. Ensslin, Nature Phys. 1745-2473 10.1038/nphys1234 5, 327 (2009).
10. A. K. Huttel, B. Witkamp, M. Leijnse, M. R. Wegewijs, and H. S. J. vanderZant, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.225501 102, 225501 (2009).
11. A. Mitra, I. Aleiner, and A. J. Millis, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.69.245302 69, 245302 (2004).
12. H. Wang and M. Thoss, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3173823 131, 024114 (2009).
13. P. S. Cornaglia, H. Ness, and D. R. Grempel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.147201 93, 147201 (2004).
14. L. Arrachea and M. J. Rozenberg, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.041301 72, 041301 (R) (2005). (Pubitemid 41526520)
15. E. Gull, A. J. Millis, A. I. Lichtenstein, A. N. Rubtsov, M. Troyer, and P. Werner, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.349 83, 349 (2011).
16. J. E. Han, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.113106 81, 113106 (2010).
17. A. Dirks, P. Werner, M. Jarrell, and T. Pruschke, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.026701 82, 026701 (2010).
18. L. Mühlbacher and E. Rabani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.176403 100, 176403 (2008). (Pubitemid 351624667)
19. M. Schiró and M. Fabrizio, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.153302 79, 153302 (2009).
20. S. Weiss, J. Eckel, M. Thorwart, and R. Egger, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.195316 77, 195316 (2008);
21. S. Weiss, J. Eckel, M. Thorwart, and R. Egger, Phys. Rev. B 1098-0121 10.1103/PhysRevB.79.249901 79, 249901 (E) (2009).
22. J. Eckel, F. Heidrich-Meisner, S. G. Jakobs, M. Thorwart, M. Pletyukhov, and R. Egger, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/4/043042 12, 043042 (2010).
23. D. Segal, A. J. Millis, and D. R. Reichman, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.205323 82, 205323 (2010).
24. For an equilibrated mode (i.e., in the presence of a secondary phonon bath), both ISPI and other numerical schemes simplify substantially.
25. Yu. V. Nazarov and Ya. M. Blanter, Quantum Transport (Cambridge University Press, Cambridge, UK, 2010).
26. R. Egger and A. O. Gogolin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.113405 77, 113405 (2008).
27. B. Dorá and A. Halbritter, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.155402 80, 155402 (2009).
28. Y. Vinkler, A. Schiller, and N. Andrei, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.035411 85, 035411 (2012).
29. S. Braig and K. Flensberg, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.68.205324 68, 205324 (2003).
30. J. Koch and F. von Oppen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.206804 94, 206804 (2005). (Pubitemid 41481105)
31. F. Pistolesi, Ya. M. Blanter, and I. Martin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.085127 78, 085127 (2008).
32. N. Bode, S. V. Kusminskiy, R. Egger, and F. von Oppen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.036804 107, 036804 (2011).
33. A. Kamenev and A. Levchenko, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730902850504 58, 197 (2009).
34. A. Altland and B. D. Simons, Condensed Matter Field Theory, 2nd ed. (Cambridge University Press, Cambridge, UK, 2010).
35. J. E. Hirsch and R. M. Fye, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.2521 56, 2521 (1986).