Current-induced forces and hot spots in biased nanojunctions

Physical Review Letters

Volumn 114, Issue 9, 2015, Pages

  Lü, Jing Tao ^a,b,c   Christensen, Rasmus B ^b   Wang, Jian Sheng ^d   Hedegård, Per ^c   Brandbyge, Mads ^b  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^c UNIVERSITY OF COPENHAGEN   (Denmark)

^d NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; ELECTRODES; PHONONS;

ASYMMETRIC CONCENTRATION; ELECTRON PHONON; FIRST-PRINCIPLES CALCULATION; HEAT TRANSPORT; HOT SPOT; NANOJUNCTIONS; TWO ELECTRODES;

HEAT FLUX;

EID: 84924359785     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.114.096801     Document Type: Article

References (50)

1. D. Dundas, E.J. McEniry, and T.N. Todorov, Nat. Nanotechnol. 4, 99 (2009). NNAABX 1748-3387 10.1038/nnano.2008.411
2. J.T. Lü, M. Brandbyge, and P. Hedegård, Nano Lett. 10, 1657 (2010). NALEFD 1530-6984 10.1021/nl904233u
3. N. Bode, S.V. Kusminskiy, R. Egger, and F. von Oppen, Phys. Rev. Lett. 107, 036804 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.036804
4. T.N. Todorov, D. Dundas, A.T. Paxton, and A.P. Horsfield, Beilstein J. Nanotechnol. 2, 727 (2011). BJNEAH 2190-4286 10.3762/bjnano.2.79
5. I.A. Pshenichnyuk and M.ČíŽek, Phys. Rev. B 83, 165446 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.165446
6. R. Bustos-Marún, G. Refael, and F. von Oppen, Phys. Rev. Lett. 111, 060802 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.060802
7. C. Schirm, M. Matt, F. Pauly, J.C. Cuevas, P. Nielaba, and E. Scheer, Nat. Nanotechnol. 8, 645 (2013). NNAABX 1748-3387 10.1038/nnano.2013.170
8. P.J. Wheeler, R. Chen, and D. Natelson, Phys. Rev. B 87, 155411 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.155411
9. B. Cunningham, T.N. Todorov, and D. Dundas, Phys. Rev. B 90, 115430 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.90.115430
10. N.J. Tao, Nat. Nanotechnol. 1, 173 (2006). NNAABX 1748-3387 10.1038/nnano.2006.130
11. M. Galperin, M.A. Ratner, and A. Nitzan, J. Phys. Condens. Matter 19, 103201 (2007). JCOMEL 0953-8984 10.1088/0953-8984/19/10/103201
12. M. Galperin, M.A. Ratner, A. Nitzan, and A. Troisi, Science 319, 1056 (2008). SCIEAS 0036-8075 10.1126/science.1146556
13. Z. Huang, F. Chen, R. D'Agosta, P.A. Bennett, M. Di Ventra, and N. Tao, Nat. Nanotechnol. 2, 698 (2007). NNAABX 1748-3387 10.1038/nnano.2007.345
14. M. Tsutsui, M. Taniguchi, and T. Kawai, Nano Lett. 8, 3293 (2008). NALEFD 1530-6984 10.1021/nl801669e
15. Y. Asai, Phys. Rev. B 78, 045434 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.045434
16. R.H.M. Smit, Y. Noat, C. Untiedt, N.D. Lang, M.C. van Hemert, and J.M. van Ruitenbeek, Nature (London) 419, 906 (2002). NATUAS 0028-0836 10.1038/nature01103
17. W.Y. Wang, T. Lee, I. Kretzschmar, and M.A. Reed, Nano Lett. 4, 643 (2004). NALEFD 1530-6984 10.1021/nl049870v
18. J.G. Kushmerick, J. Lazorcik, C.H. Patterson, R. Shashidhar, D.S. Seferos, and G.C. Bazan, Nano Lett. 4, 639 (2004). NALEFD 1530-6984 10.1021/nl049871n
19. Z. Ioffe, T. Shamai, A. Ophir, G. Noy, I. Yutsis, K. Kfir, O. Cheshnovsky, and Y. Selzer, Nat. Nanotechnol. 3, 727 (2008). NNAABX 1748-3387 10.1038/nnano.2008.304
20. D.R. Ward, D.A. Corley, J.M. Tour, and D. Natelson, Nat. Nanotechnol. 6, 33 (2011). NNAABX 1748-3387 10.1038/nnano.2010.240
21. K. Kaasbjerg, T. Novotný, and A. Nitzan, Phys. Rev. B 88, 201405 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.201405
22. W. Lee, K. Kim, W. Jeong, L.A. Zotti, F. Pauly, J.C. Cuevas, and P. Reddy, Nature (London) 498, 209 (2013). NATUAS 0028-0836 10.1038/nature12183
23. R.H.M. Smit, C. Untiedt, and J.M. van Ruitenbeek, Nanotechnology 15, S472 (2004). NNOTER 0957-4484 10.1088/0957-4484/15/7/055
24. G. Schulze, K.J. Franke, A. Gagliardi, G. Romano, C.S. Lin, A.L. Rosa, T.A. Niehaus, T. Frauenheim, A. Di Carlo, A. Pecchia, Phys. Rev. Lett. 100, 136801 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.136801
25. J.-T. Lü, M. Brandbyge, P. Hedegård, T.N. Todorov, and D. Dundas, Phys. Rev. B 85, 245444 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.245444
26. J.-S. Wang, Phys. Rev. Lett. 99, 160601 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.160601
27. R.P. Feynman and F.L. Vernon, Ann. Phys. (N.Y.) 24, 118 (1963). APNYA6 0003-4916 10.1016/0003-4916(63)90068-X
28. A. Caldeira and A. Leggett, Physica A (Amsterdam) 121A, 587 (1983). PHYADX 0378-4371 10.1016/0378-4371(83)90013-4
29. A. Schmid, J. Low Temp. Phys. 49, 609 (1982). JLTPAC 0022-2291 10.1007/BF00681904
30. Y. Oshima and Y. Kurui, Phys. Rev. B 87, 081404 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.081404
31. See the Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.114.096801 for details.
32. J. Soler, E. Artacho, J. Gale, A. Garcia, J. Junquera, P. Ordejon, and D. Sanchez-Portal, J. Phys. Condens. Matter 14, 2745 (2002). JCOMEL 0953-8984 10.1088/0953-8984/14/11/302
33. M. Brandbyge, J.L. Mozos, P. Ordejon, J. Taylor, and K. Stokbro, Phys. Rev. B 65, 165401 (2002). PRBMDO 0163-1829 10.1103/PhysRevB.65.165401
34. T. Frederiksen, M. Paulsson, M. Brandbyge, and A.-P. Jauho, Phys. Rev. B 75, 205413 (2007). PRBMDO 1098-0121 10.1103/PhysRevB.75.205413
35. M. Engelund, M. Brandbyge, and A.P. Jauho, Phys. Rev. B 80, 045427 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.80.045427
36. H. Yasuda and A. Sakai, Phys. Rev. B 56, 1069 (1997). PRBMDO 0163-1829 10.1103/PhysRevB.56.1069
37. H. Ohnishi, Y. Kondo, and K. Takayanagi, Nature (London) 395, 780 (1998). NATUAS 0028-0836 10.1038/27399
38. A.I. Yanson, G.R. Bollinger, H.E. van den Brom, N. Agraït, and J.M. van Ruitenbeek, Nature (London) 395, 783 (1998). NATUAS 0028-0836 10.1038/27405
39. J.T. Lü, P. Hedegård, and M. Brandbyge, Phys. Rev. Lett. 107, 046801 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.046801
40. Y. Dubi and M. Di Ventra, Phys. Rev. B 79, 115415 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.115415
41. Y. Dubi and M. Di Ventra, Phys. Rev. E 79, 042101 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.79.042101
42. P.A. Jacquet, J. Stat. Phys. 134, 709 (2009). JSTPBS 0022-4715 10.1007/s10955-009-9697-1
43. P.A. Jacquet and C.-A. Pillet, Phys. Rev. B 85, 125120 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.125120
44. J.P. Bergfield, S.M. Story, R.C. Stafford, and C.A. Stafford, ACS Nano 7, 4429 (2013). ANCAC3 1936-0851 10.1021/nn401027u
45. Another way of quantifying the heating is to use the local temperature defined in some way. We tried to use the method in Refs. [40-44]. The result is shown in Fig. 3 of the Supplemental Material [32]. The overall heating profile agrees with Fig. 1.
46. T. Frederiksen, M. Brandbyge, N. Lorente, and A.-P. Jauho, Phys. Rev. Lett. 93, 256601 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.256601
47. X. Jia, M. Hofmann, V. Meunier, B.G. Sumpter, J. Campos-Delgado, J.M. Romo-Herrera, H. Son, Y.-P. Hsieh, A. Reina, J. Kong, Science 323, 1701 (2009). SCIEAS 0036-8075 10.1126/science.1166862
48. M. Engelund, J.A. Fürst, A.P. Jauho, and M. Brandbyge, Phys. Rev. Lett. 104, 036807 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.036807
49. M. Freitag, H.-Y. Chiu, M. Steiner, V. Perebeinos, and P. Avouris, Nat. Nanotechnol. 5, 497 (2010). NNAABX 1748-3387 10.1038/nnano.2010.90
50. M.-H. Bae, Z.-Y. Ong, D. Estrada, and E. Pop, Nano Lett. 10, 4787 (2010). NALEFD 1530-6984 10.1021/nl1011596