Low-temperature specific heat of real crystals: Possibility of leading contribution of optical and short-wavelength acoustical vibrations

Details Low-temperature specific heat of real crystals: Possibility of leading contribution of optical and short-wavelength acoustical vibrations Low-temperature specific heat of real crystals: Possibility of leading contribution of optical and short-wavelength acoustical vibrations

2004-04-05

arxiv.org/abs/cond-mat/0404063v4

Phys. Rev. B 70, 212301(2004)

Physics

Condensed Matter

Statistical Mechanics

5 pages. v4: Error in Appendix corrected, which does not change the main results of the paper

Scientific paper

10.1103/PhysRevB.70.212301

We point out that the repeatedly reported glass-like properties of crystalline materials are not necessarily associated with localized (or quasilocalized) excitations. In real crystals, optical and short-wavelength acoustical vibrations remain damped due to defects down to zero temperature. If such a damping is frequency-independent, e.g. due to planar defects or charged defects, these optical and short-wavelength acoustical vibrations yield a linear-in-$T$ contribution to the low-temperature specific heat of the crystal lattices. At low enough temperatures such a contribution will prevail over that of the long-wavelength acoustical vibrations (Debye contribution). The crossover between the linear and the Debye regime takes place at $T^* \propto \sqrt N$, where $N$ is the concentration of the defects responsible for the damping. Estimates show that this crossover could be observable.

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