Polarization catastrophe in the polaronic Wigner crystal

Details Polarization catastrophe in the polaronic Wigner crystal Polarization catastrophe in the polaronic Wigner crystal

2002-07-04

arxiv.org/abs/cond-mat/0207128v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1140/epjb/e2002-00260-4

We consider a three dimensional Wigner crystal of electrons lying in a host ionic dielectric. Owing to their interaction with the lattice polarization, each localized electron forms a polaron. We study the collective excitations of such a polaronic Wigner crystal at zero temperature, taking into account the quantum fluctuations of the polarization within the Feynman harmonic approximation. We show that, contrary to the ordinary electron crystal, the system undergoes a polarization catastrophe when the density is increased. An optical signature of this instability is derived, whose trend agrees with the experiments carried out in Nd-based cuprates.

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