Abstract
Helium atoms and hydrogen molecules can be strongly bound inside interstitial channels within bundles of carbon nanotubes. An exploration of the low energy and low temperature properties of 3He atoms is presented here. Recent study of the analogous 4He system has shown that the effect of heterogeneity is to yield a density of states N(E) that is qualitatively different from the one-dimensional (1D) form of N(E) that would occur for an ideal set of identical channels. In particular, the functional form of N(E) is that of a 4D gas near the very lowest energies and a 2D gas at somewhat higher energies. Similar behavior is found here for 3He. The resulting thermodynamic behavior of this fermi system is computed, yielding an anomalous form of the heat capacity and its dependence on coverage.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
L. D. Gelb, K. E. Gubbins, R. Radhakrishnan, and M. Sliwinska-Bartkowiak, Rep. Prog. Phys. 62, 1573 (1999); R. Evans, in Fundamentals of Inhomogeneous Fluids, D. Henderson (ed.), Dekker, New York (1992).
M. M. Calbi, S. M. Gatica, M. J. Bojan, G. Stan, and M. W. Cole, Rev. Mod. Phys. 73, 857 (2001).
A. Siber, Phys. Rev. B 66, 205406 and 235414 (2002).
M. K. Kostov, M. Mercedes Calbi, and M. W. Cole, 'Phonons and specific heat of neon and methane on the surface of a nanotube bundle', to appear in Phys. Rev. B 68, 245403 (2003).
J. G. Dash, Contemp. Phys. 43, 427 (2002).
F. Ancilotto, M. M. Calbi, S. M. Gatica, and M. W. Cole, http://lanl.arXiv.org/abs/condmat/ 0306450.
F. Ancilotto, M. M. Calbi, M. W. Cole, S. M. Gatica, and E. S. Hernández, to appear in Is. J. Chem. , 43(2004) http://lanl.arXiv.org/abs/cond-mat/0307748.
F. Ancilotto, M. M. Calbi, S. M. Gatica, and M. W. Cole, submitted to Phys. Rev. http://lanl.arXiv.org/abs/cond-mat/0310067.
M. C. Gordillo, J. Boronat, and J. Casulleras, Phys. Rev. B 65, 014503 (2002); S. R. Challa, D. S. Sholl, and J. K. Johnson, J. Chem. Phys. 116, 841 (2002).
E. Krotscheck and M. D. Miller, J. Phys. IV 10, 169 (2000).
M. Boninsegni, S. Y. Lee, and V. H. Crespi, Phys. Rev. Lett. 86, 3360 (2001).
M. W. Cole, V. H. Crespi, G. Stan, J. M. Hartman, S. Moroni, C. Ebner, and M. Boninsegni, Phys. Rev. Lett. 84, 3883 (2001).
C. Carraro, Phys. Rev. B 61, R16351 (2000).
W. Shi and J. K. Johnson, Phys. Rev. Lett. 91, 015504 (2003).
S. Talapatra, V. Krungleviciute, and A.D. Migone, Phys. Rev. Lett. 89, 246106 (2002).
M. K. Kostov, M. W. Cole, J. C. Lewis, P. Diep, and J. K. Johnson, Chem. Phys. Lett. 332, 26 (2000).
K. H. Lau and W. Kohn, Surf. Sci. 65, 607 (1977).
R. Kern and M. Krohn, Phys. Status Solidi A 116, 23 (1989).
L. W. Bruch, M. W. Cole and E. Zaremba, Physical Adsorption: Forces and Phenomena, Clarendon Press, Oxford NY (1997).
M. M. Calbi, F. Toigo, and M. W. Cole, Phys. Rev. Lett. 86, 5062 (2001).
M. M. Calbi, F. Toigo, and M. W. Cole, J. Low Temp. Phys. 126, 179 (2002).
M. M. Calbi, A. Mizel, and M. W. Cole, submitted to Phys. Rev B 69, 195408 (2004).
A mathematical analog is the phonon density of states derived from the dependence of the frequency on wave vector, see J. Ziman, Principles of the Theory of Solids Cambridge University Press (1964).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gatica, S.M., Ancilotto, F. & Cole, M.W. Anomalous Low Temperature Specific Heat of 3He Inside Nanotube Bundles. Journal of Low Temperature Physics 136, 179–189 (2004). https://doi.org/10.1023/B:JOLT.0000038521.03196.f3
Issue Date:
DOI: https://doi.org/10.1023/B:JOLT.0000038521.03196.f3