Strong coupling between mechanical modes in a nanotube resonator

Physical Review Letters

Volumn 109, Issue 2, 2012, Pages

  Eichler, A ^a   Del Alamo Ruiz M ^a   Plaza, J A ^b   Bachtold, A ^a  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b INSTITUTO DE MICROELECTRÓNICA DE BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CONVENTIONAL LINE; DETUNINGS; FREQUENCY RATIOS; GATE ELECTRODES; GATE VOLTAGES; LINE SHAPE; MEASURED MODES; MECHANICAL RESONANCE; MECHANICAL SIGNALS; NANOTUBE RESONATORS; NONLINEAR COUPLING; OSCILLATING FORCES; PUMP-PROBE EXPERIMENTS; QUANTUM MANIPULATION; QUANTUM TO CLASSICAL TRANSITION; STRONG COUPLING;

EXPERIMENTS; PROBES; RESONATORS; SIGNAL PROCESSING;

NANOTUBES;

EID: 84863691703     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.109.025503     Document Type: Article

References (37)

1. M. Sato, B.E. Hubbard, A.J. Sievers, B. Ilic, D.A. Czaplewski, and H.G. Craighead, Phys. Rev. Lett. 90, 044102 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.044102
2. M.C. Cross, A. Zumdieck, R. Lifshitz, and J.L. Rogers, Phys. Rev. Lett. 93, 224101 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.224101 (Pubitemid 40072792)
3. E. Gil-Santos, D. Ramos, A. Jana, M. Calleja, A. Raman, and J. Tamayo, Nano Lett. 9, 4122 (2009). NALEFD 1530-6984 10.1021/nl902350b
4. R.B. Karabalin, M.C. Cross, and M.L. Roukes, Phys. Rev. B PRBMDO 1098-0121 79, 165309 (2009). 10.1103/PhysRevB.79.165309
5. H.J.R. Westra, M. Poot, H.S.J. van der Zant, and W.J. Venstra, Phys. Rev. Lett. 105, 117205 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.117205
6. I. Mahboob, Q. Wilmart, K. Nishiguchi, A. Fujiwara, and H. Yamaguchi, Phys. Rev. B PRBMDO 1098-0121 84, 113411 (2011). 10.1103/PhysRevB.84.113411
7. W.J. Venstra, H.J.R. Westra, and H.S.J. van der Zant, Appl. Phys. Lett. 99, 151904 (2011). APPLAB 0003-6951 10.1063/1.3650714
8. R.B. Karabalin, R. Lifshitz, M.C. Cross, M.H. Matheny, S.C. Masmanidis, and M.L. Roukes, Phys. Rev. Lett. 106, 094102 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.094102
9. T. Faust, J. Rieger, M.J. Seitner, P. Krenn, J.P. Kotthaus, and E.M. Weig, Phys. Rev. Lett. (to be published). PRLTAO 0031-9007
10. T. Antoni, K. Makles, R. Braive, T. Briant, P.-F. Cohadon, I. Sagnes, I. Robert-Philip, and A. Heidmann, arXiv:1202.3675v1.
11. I. Mahboob, K. Nishiguchi, H. Okamoto, and H. Yamaguchi, Nature Phys. 8, 387 (2012). NPAHAX 1745-2473 10.1038/nphys2277
12. K.J. Lulla, R.B. Cousins, A. Venkatesan, M.J. Patton, A.D. Armour, C.J. Mellor, and J.R. Owers-Bradley, arXiv:1204.4487v1.
13. A.H. Nayfeh and D.T. Mook, Nonlinear Oscillations (Wiley-VCH, New York, 1979).
14. V. Sazonova, Y. Yaish, H. Üstünel, D. Roundy, T.A. Arias, and P.L. McEuen, Nature (London) 431, 284 (2004). NATUAS 0028-0836 10.1038/nature02905 (Pubitemid 39265658)
15. B. Lassagne, Y. Tarakanov, J. Kinaret, D. Garcia-Sanchez, and A. Bachtold, Science 325, 1107 (2009). SCIEAS 0036-8075 10.1126/science.1174290
16. G.A. Steele, A.K. Hüttel, B. Witkamp, M. Poot, H.B. Meerwaldt, L.P. Kouwenhoven, and H.S.J. van der Zant, Science 325, 1103 (2009). SCIEAS 0036-8075 10.1126/science.1176076
17. J.-P. Salvetat, J.-M. Bonard, N.H. Thomson, A.J. Kulik, L. Forró, W. Benoit, and L. Zuppiroli, Appl. Phys. A APAMFC 0947-8396 69, 255 (1999). 10.1007/s003390050999
18. A. Eichler, J. Moser, J. Chaste, M. Zdrojek, I. Wilson-Rae, and A. Bachtold, Nature Nanotech. NNAABX 1748-3387 6, 339 (2011). 10.1038/nnano.2011.71
19. J. Atalaya, A. Isacsson, and M.I. Dykman, Phys. Rev. Lett. 106, 227202 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.227202
20. A.W. Barnard, V. Sazonova, A.M. van der Zande, and P.L. McEuen, arXiv:1110.1517v1.
21. A. Eichler, J. Chaste, J. Moser, and A. Bachtold, Nano Lett. 11, 2699 (2011). NALEFD 1530-6984 10.1021/nl200950d
22. A.K. Hüttel, G.A. Steele, B. Witkamp, M. Poot, L.P. Kouwenhoven, and H.S.J. van der Zant, Nano Lett. 9, 2547 (2009). NALEFD 1530-6984 10.1021/nl900612h
23. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.109.025503 for further discussions on fabrication, measurement details, and experiment analysis.
24. V. Gouttenoire, T. Barois, S. Perisanu, J.-L. Leclercq, S.T. Purcell, P. Vincent, and A. Ayari, Small 6, 1060 (2010). SMALBC 1613-6810 10.1002/smll.200901984
25. H.W. Ch. Postma, I. Kozinsky, A. Husain, and M.L. Roukes, Appl. Phys. Lett. 86, 223105 (2005). APPLAB 0003-6951 10.1063/1.1929098 (Pubitemid 40861620)
26. C. Chen, S. Rosenblatt, K.I. Bolotin, W. Kalb, P. Kim, I. Kymissis, H.L. Stormer, T.F. Heinz, and J. Hone, Nature Nanotech. 4, 861 (2009). NNAABX 1748-3387 10.1038/nnano.2009.267
27. I. Kozinsky, H.W. Ch. Postma, I. Bargatin, and M.L. Roukes, Appl. Phys. Lett. 88, 253101 (2006). APPLAB 0003-6951 10.1063/1.2209211 (Pubitemid 43954832)
28. M.I. Dykman and M.A. Krivoglaz, Phys. Status Solidi B PSSBBD 0370-1972 48, 497 (1971). 10.1002/pssb.2220480206
29. E. Fermi, Z. Phys. 71, 250 (1931). ZEPYAA 0044-3328 10.1007/BF01341712
30. G. Herzberg, Molecular Spectra and Molecular Structure, Vol. II (Van Nostrand, Princeton, 1956).
31. J. Chaste, M. Sledzinska, M. Zdrojek, J. Moser, and A. Bachtold, Appl. Phys. Lett. 99, 213502 (2011). APPLAB 0003-6951 10.1063/1.3663630
32. E.A. Laird, F. Pei, W. Tang, G.A. Steele, and L.P. Kouwenhoven, Nano Lett. 12, 193 (2012). NALEFD 1530-6984 10.1021/nl203279v
33. I. Katz, A. Retzker, R. Straub, and R. Lifshitz, Phys. Rev. Lett. 99, 040404 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.040404 (Pubitemid 47173787)
34. N. Liu, F. Giesen, M. Belov, J. Losby, J. Moroz, A.E. Fraser, G. McKinnon, T.J. Clement, V. Sauer, W.K. Hiebert, and M.R. Freeman, Nature Nanotech. 3, 715 (2008). NNAABX 1748-3387 10.1038/nnano.2008.319
35. Q.P. Unterreithmeier, T. Faust, and J.P. Kotthaus, Phys. Rev. B PRBMDO 1098-0121 81, 241405(R) (2010). 10.1103/PhysRevB.81.241405
36. H. Yamaguchi, H. Okamoto, and I. Mahboob, Appl. Phys. Express 5, 014001 (2012). 1882-0778 10.1143/APEX.5.014001
37. D. Antonio, D.H. Zanette, and D. López, Nature Commun. 3, 806 (2012). NCAOBW 2041-1723 10.1038/ncomms1813