Tunneling and rattling in clathrate crystal

Details Tunneling and rattling in clathrate crystal Tunneling and rattling in clathrate crystal

2004-09-17

arxiv.org/abs/cond-mat/0409444v1

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 4 figures, to be published Phys. Rev. B

Scientific paper

10.1103/PhysRevB.70.184126

We present tunneling and rattling motions of an off-center guest atom in cage referring to a clathrate crystal La_3Pd_{20}Ge_6. The elastic constant C_{44} of La_3Pd_{20}Ge_6 shows a Debye-type dispersion around 20 K obeying a relaxation time tau = tau_0exp(E/k_{B}T) with an attempt time tau_0 = 2.0*10^{-12} sec and an activation energy E = 197 K. At low temperatures below 3 K down to 20 mK, the C_{44} shows a softening of C_{44} = C_{44}^0(T-T_C^0)/(T-Theta) with T_C^0 = -337.970 mK and Theta = -338.044 mK. These facts are attributed to two different types of the off-center motions with Gamma_5 symmetry in 4a-site cage of La_3Pd_{20}Ge_6, a thermally activated rattling motion over the potential hill and a tunneling motion through the potential hill at low temperatures.

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