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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2010, Volume 92, Issue 8, Pages 585–589
(Mi jetpl1446)
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This article is cited in 22 scientific papers (total in 22 papers)
CONDENSED MATTER
Second wind of the Dulong–Petit Law at a quantum critical point
V. A. Khodelabc, J. W. Clarkbc, V. R. Shaginyand, M. V. Zverevae a Russian Research Centre Kurchatov Institute, Moscow, Russia
b Department of Physics, Washington University in St. Louis
c McDonnell Center for the Space Sciences, Washington University in St. Louis
d Petersburg Nuclear Physics Institute RAS, Gatchina, Russia
e Moscow Institute of Rhysics and Technology, Moscow, Russia
Abstract:
Renewed interest in $^3$He physics has been stimulated by experimental observation of non-Fermi-liquid behavior of dense $^3$He films at low temperatures. Abnormal behavior of the specific heat $C(T)$ of two-dimensional liquid $^3$He is demonstrated in the occurrence of a $T$-independent $\beta$ term in $C(T)$. To uncover the origin of this phenomenon, we have considered the group velocity of transverse zero sound propagating in a strongly correlated Fermi liquid. For the first time, it is shown that if two-dimensional liquid $^3$He is located in the vicinity of the quantum critical point associated with a divergent quasiparticle effective mass, the group velocity depends strongly on temperature and vanishes as $T$ is lowered toward zero. The predicted vigorous dependence of the group velocity can be detected in experimental measurements on liquid $^3$He films. We have demonstrated that the contribution to the specific heat coming from the boson part of the free energy due to the transverse zero-sound mode follows the Dulong–Petit Law. In the case of two-dimensional liquid $^3$He, the specific heat becomes independent of temperature at some characteristic temperature of a few mK.
Received: 14.09.2010
Citation:
V. A. Khodel, J. W. Clark, V. R. Shaginyan, M. V. Zverev, “Second wind of the Dulong–Petit Law at a quantum critical point”, Pis'ma v Zh. Èksper. Teoret. Fiz., 92:8 (2010), 585–589; JETP Letters, 92:8 (2010), 532–536
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https://www.mathnet.ru/eng/jetpl1446 https://www.mathnet.ru/eng/jetpl/v92/i8/p585
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Abstract page: | 1945 | Full-text PDF : | 59 | References: | 53 |
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