Accessibility of quantum effects in mesomechanical systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 64, Issue 22, 2001, Pages

  Carr, S M ^a   Lawrence, W E ^a   Wybourne, M N ^a  

^a DARTMOUTH COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CARBON; SILICON;

ARTICLE; COMPRESSION; ELASTICITY; ENERGY TRANSFER; EXCITATION; QUANTUM MECHANICS; STRESS; TEMPERATURE SENSITIVITY; TUBE;

EID: 0035587086     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.220101     Document Type: Article

References (18)

1. M L. Roukes, Phys. World14, 25 (2001).
2. H G. Craighead, Science290, 1532 (2000).
3. H. Park, J. Park, A K L. Lim, E H. Anderson, A P. Alivisatos, and P L. McEuen, Nature (London)407, 57 (2000).
4. A. Erbe, R H. Blick, A. Tilke, A. Kriele, and J P. Kotthaus, Appl. Phys. Lett.73, 3751 (1998).
5. A N. Cleland and M L. Roukes, Appl. Phys. Lett.69, 2653 (1996).
6. T. Rueckes, Science289, 94 (2000).
7. A N. Cleland and M L. Roukes, in Proceedings ICPS-24, edited by D. Gershoni (World Scientific, Singapore, 1999).
8. J R. Friedman, V. Patel, W. Chen, S K. Tolpygo, and J E. Lukens, Nature (London)406, 43 (2000).
9. L. Euler, in Elastic Curves, translated and annotated by W. A. Oldfather, C. A. Ellis, and D. M. Brown, reprinted from ISIS, No. 58 XX(1), 1774 (Saint Catherine Press, Bruges, Belgium).
10. A O. Caldeira and A J. Leggett, Ann. Phys. (N.Y.)149, 374 (1983).
11. A J. Leggett, Rev. Mod. Phys.59, 1 (1987).
12. L D. Landau and E M. Lifshitz, Theory of Elasticity (Pergamon, Oxford, 1986), pp. 64–86.
13. We scale Y to be equal to the central displacement in the fundamental mode, so that (formula presented) The rms fluctuations are then (formula presented)
14. This is not a close analogy: The potential applies to the single degree of freedom Y, not to the field (formula presented) so that the usual “stiffness” term (formula presented) of Ginzburg-Landau theory is absent. The present (formula presented) term is a quantum mechanical operator usually absent in Ginzburg-Landau theory.
15. M M J. Treacy, T W. Ebbesen, and J M. Gibson, Nature (London)381, 678 (1996).
16. O. Lourie, D M. Cox, and H D. Wagner, Phys. Rev. Lett.81, 1638 (1998).
17. Equilibration in this case consists of populating the fundamental with many phonons, while higher modes remain frozen. The precise mechanism and relaxation time for this are interesting open questions.
18. Calculated using the generalized equipartition result that degrees of freedom appearing quartically in the Hamiltonian contribute (formula presented) to the internal energy.