Instability due to long range Coulomb interaction in a liquid of polarizable particles (polarons, etc.)

Abstract

The interaction Hamiltonian for a system of polarons a la Feynman in the presence of long range Coulomb interaction is derived and the dielectric function is computed in mean field. For large enough concentration a liquid of such particles becomes unstable. The onset of the instability is signaled by the softening of a collective optical mode in which all electrons oscillate in phase in their respective self-trapping potential. We associate the instability with a metallization of the system. Optical experiments in slightly doped cuprates and doped nickelates are analyzed within this theory. We discuss why doped cuprates matallize whereas nickelates do not.

5 pages,1 figure

References in corpus (3)

• Evolution of a polaron band through the phase diagram of Nd[2-x]Ce[x]CuO[4-y]
• The pseudogap in underdoped high Tc superconductors in the framework of the Boson Fermion model
• The induced charge in a Frohlich polaron: Sum rule and spatial extent

Cited by in corpus (3)

• Wigner crystallization in a polarizable medium
• An extended infrared study of the (p,T) phase diagram of the p-doped Cu-O plane
• Mott transition and collective charge pinning in electron doped Sr2IrO4