Marginal Fermi Liquid in a lattice of three-body bound-states

Details Marginal Fermi Liquid in a lattice of three-body bound-states Marginal Fermi Liquid in a lattice of three-body bound-states

1998-01-02

arxiv.org/abs/cond-mat/9801004v1

Phys. Rev. B, 58, 4418 (1998).

Physics

Condensed Matter

Strongly Correlated Electrons

Latex with seven epsf figures

Scientific paper

10.1103/PhysRevB.58.4418

We study a lattice model for Marginal Fermi liquid behavior, involving a gas of electrons coupled to a dense lattice of three-body bound-states. The bound-states change the phase space for electron-electron scattering and induce a marginal self-energy amongst the electron gas. When the three-body bound-states are weakly coupled to the electron gas, there is a substantial window for marginal Fermi liquid behavior. In this regime, the model displays the presence of two relaxation times, one linear, one quadratic in the temperature. At low temperatures the bound-states develop coherence leading to a cross-over to conventional Fermi liquid behavior. At strong-coupling, marginal Fermi liquid behavior is pre-empted by a pairing or magnetic instability, and it is not possible to produce a linear scattering rate comparable with the temperature. We discuss the low temperature instabilities of this model and compare it to the Hubbard model at half-filling.

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