Dispersion Instability in Strongly Interacting Electron Liquids

Details Dispersion Instability in Strongly Interacting Electron Liquids Dispersion Instability in Strongly Interacting Electron Liquids

2004-10-01

arxiv.org/abs/cond-mat/0410039v2

Phys. Rev. B 71, 115105 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

Accepted version for publication

Scientific paper

10.1103/PhysRevB.71.115105

We show that the low-density strongly interacting electron liquid, interacting via the long-range Coulomb interaction, could develop a dispersion instability at a critical density associated with the approximate flattening of the quasiparticle energy dispersion. At the critical density the quasiparticle effective mass diverges at the Fermi surface, but the signature of this Fermi surface instability manifests itself away from the Fermi momentum at higher densities. For densities below the critical density the system is unstable since the quasiparticle velocity becomes negative. We show that one physical mechanism underlying the dispersion instability is the emission of soft plasmons by the quasiparticles. The dispersion instability occurs both in two and three dimensional electron liquids. We discuss the implications of the dispersion instability for experiments at low electron densities.

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