A glassy contribution to the heat capacity of hcp $^4$He solids

Details A glassy contribution to the heat capacity of hcp $^4$He solids A glassy contribution to the heat capacity of hcp $^4$He solids

2009-12-23

arxiv.org/abs/0912.4647v2

Journal of Low Temperature Physics 159 (2010) 431 (10 pages)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 4 figures

Scientific paper

10.1007/s10909-010-0163-x

We model the low-temperature specific heat of solid $^4$He in the hexagonal closed packed structure by invoking two-level tunneling states in addition to the usual phonon contribution of a Debye crystal for temperatures far below the Debye temperature, $T < \Theta_D/50$. By introducing a cutoff energy in the two-level tunneling density of states, we can describe the excess specific heat observed in solid hcp $^4$He, as well as the low-temperature linear term in the specific heat. Agreement is found with recent measurements of the temperature behavior of both specific heat and pressure. These results suggest the presence of a very small fraction, at the parts-per-million (ppm) level, of two-level tunneling systems in solid $^4$He, irrespective of the existence of supersolidity.

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