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Soft phonons in La: An⨍-band induced instability

Authors
Journal
Solid State Communications
0038-1098
Publisher
Elsevier
Publication Date
Volume
26
Issue
12
Identifiers
DOI: 10.1016/0038-1098(78)91251-6

Abstract

Abstract Compared with d-band metals of the same valency, La shows a similar anomalous thermal behaviour to that observed for Ce (e.g. low melting point, low Debye frequency). We show that the soft phonons in these systems are induced by the ⨍-band, which is known to intersect the Fermi level in α-Ce and to lie slightly above it in La. We therefore calculate the RPA dielectric constant for a simple two-band model of d-and ⨍-electrons and show that it is enhanced due to the high density of states of the ⨍-band near the Fermi energy. The phonon frequencies, renormalized by this enhanced dielectric constant, are thus lowered.

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