Quasi one dimensional $^4$He inside carbon nanotubes

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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11 pages, 3ps figures, to appear in Phys. Rev. B (RC)

Scientific paper

10.1103/PhysRevB.61.R878

We report results of diffusion Monte Carlo calculations for both $^4$He absorbed in a narrow single walled carbon nanotube (R = 3.42 \AA) and strictly one dimensional $^4$He. Inside the tube, the binding energy of liquid $^4$He is approximately three times larger than on planar graphite. At low linear densities, $^4$He in a nanotube is an experimental realization of a one-dimensional quantum fluid. However, when the density increases the structural and energetic properties of both systems differ. At high density, a quasi-continuous liquid-solid phase transition is observed in both cases.

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