Abstract
We have measured the interaction between superfluid \(^3\)He–B and a micro-machined goalpost-shaped device at temperatures below \(0.2\,T_\mathrm{c}\). The measured damping follows well the theory developed for vibrating wires, in which the Andreev reflection of quasiparticles in the flow field around the moving structure leads to a nonlinear frictional force. At low velocities, the damping force is proportional to velocity, while it tends to saturate for larger excitations. Above a velocity of 2.6 mm s\(^{-1}\), the damping abruptly increases, which is interpreted in terms of Cooper-pair breaking. Interestingly, this critical velocity is significantly lower than that reported with other mechanical probes immersed in superfluid \(^3\)He. Furthermore, we report on a nonlinear resonance shape for large motion amplitudes that we interpret as an inertial effect due to quasiparticle friction, but other mechanisms could possibly be invoked as well.
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References
J. Tough, W. McCormick, J. Dash, Phys. Rev. 132, 2373 (1963)
J. Tough, W. McCormick, J. Dash, Rev. Sci. Instrum. 35, 1345 (1964)
D.C. Carless, H.E. Hall, J.R. Hook, J. Low Temp. Phys. 50, 605 (1982)
A.M. Guénault, V. Keith, C.J. Kennedy, S.G. Mussett, G.R. Pickett, J. Low Temp. Phys. 62, 511 (1986)
S.N. Fisher, A.M. Guénault, C.J. Kennedy, G.R. Pickett, Phys. Rev. Lett. 69, 1073 (1992)
YuM Bunkov, D.J. Cousins, M.P. Enrico, S.N. Fisher, M.R. Follows, A.M. Guénault, W.M. Hayes, G.R. Pickett, T. Sloan, Phys. Rev. Lett. 75, 1887 (1995)
F. Mayet, D. Santos, YuM Bunkov, E. Collin, H. Godfrin, Phys. Lett. B 538, 257 (2002)
D.O. Clubb, O.V.L. Buu, R.M. Bowley, R. Nyman, J.R. Owers-Bradley, J. Low Temp. Phys. 136, 1 (2004)
R. Blaauwgeers, M. Blazkova, M. Ĉloveĉko, V.B. Eltsov, R. de Graaf, J. Hosio, M. Krusius, D. Schmoranzer, W. Schoepe, L. Skrbek, P. Skyba, R.E. Solntsev, D.E. Zmeev, J. Low Temp. Phys. 146, 537 (2007). doi:10.1007/s10909-006-9279-4
D.I. Bradley, P. Crookston, M. Fear, S.N. Fisher, A. Ganshin, A.M. Guénault, R.P. Haley, M.J. Jackson, G.R. Pickett, R. Schanen, V. Tsepelin, J. Low Temp. Phys. 157, 476 (2009)
D.I. Bradley, P. Crookston, S.N. Fisher, G. Foulds, D. Garg, A.M. Guénault, E.A. Guise, R.P. Haley, O. Kolosov, G.R. Pickett, R. Schanen, V. Tsepelin, J. Low Temp. Phys. 161, 536 (2010)
S.L. Ahlstrom, D.I. Bradley, M. Ĉloveĉko, S.N. Fisher, A.M. Guénault, E.A. Guise, R.P. Haley, O. Kolosov, P.V.E. McClintock, G.R. Pickett, M. Poole, V. Tsepelin, A.J. Woods, Phys. Rev. B 89, 014515 (2014). doi:10.1103/PhysRevB.89.014515
A.N. Cleland, Foundations of Nanomechanics (Springer, New York, 2003)
G. Karniadakis, A. Beskok, N. Aluru, Microflows and Nanoflows (Springer, New York, 2005)
R.E. Mihailovich, J.M. Parpia, Phys. Rev. Lett. 68, 3052 (1992)
E.C. Bullard, J. Li, C.R. Lilley, P. Mulvaney, M.L. Roukes, J.E. Sader, Phys. Rev. Lett. 112, 015501 (2014)
E. Collin, M. Defoort, K.J. Lulla, C. Blanc, J. Guidi, S. Dufresnes, O. Bourgeois, H. Godfrin, J. Low Temp. Phys. 175, 442 (2014)
J.E. Sader, J. Appl. Phys. 84, 64 (1998)
A.N. Cleland, M.L. Roukes, Appl. Phys. Lett. 69, 2653 (1996)
S. Triqueneaux, E. Collin, D.J. Cousins, T. Fournier, C. Bäuerle, YuM Bunkov, H. Godfrin, Physica B 284, 2141 (2000)
E. Collin, T. Moutonet, J.-S. Heron, O. Bourgeois, YuM Bunkov, H. Godfrin, J. Low Temp. Phys. 162, 653 (2011)
G.R. Pickett, S.N. Fisher, Physica B 329–333, 75 (2003)
S.N. Fisher, A.M. Guénault, C.J. Kennedy, G.R. Pickett, Phys. Rev. Lett. 63, 2566 (1989)
A.F. Andreev, Sov. Phys. 19, 1228 (1964)
C. Bäuerle, Y.M. Bunkov, S.N. Fisher, H. Godfrin, Phys. Rev. B 57, 14381 (1998)
E. Collin, L. Filleau, T. Fournier, YuM Bunkov, H. Godfrin, J. Low Temp. Phys. 150(739), 2008 (2009). doi:10.1007/s10909-007-9607-3. Erratum: J. Low Temp. Phys. 157, 566
E. Collin, YuM Bunkov, H. Godfrin, Phys. Rev. B 82, 235416 (2010)
A.M. Guénault, V. Keith, C.J. Kennedy, G.R. Pickett, Phys. Rev. Lett. 51, 589 (1983)
Acknowledgments
We would like to thank B. Fernandez, T. Fournier, C. Blanc, and O. Bourgeois for help with the fabrication of devices. We acknowledge the support from MICROKELVIN, the EU FP7 low temperature infrastructure Grant 228464, the 2010 ANR French Grant QNM No 0404 01, and the UK EPSRC Grant EP/I028285/1.
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S. N. Fisher deceased 4 January 2015.
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Defoort, M., Dufresnes, S., Ahlstrom, S.L. et al. Probing Bogoliubov Quasiparticles in Superfluid \(^3\)He with a ‘Vibrating-Wire Like’ MEMS Device. J Low Temp Phys 183, 284–291 (2016). https://doi.org/10.1007/s10909-015-1392-9
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DOI: https://doi.org/10.1007/s10909-015-1392-9