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

Abstract

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.

arXiv commentLatex with seven epsf figures

References in corpus (4)

• Toward a Unified Magnetic Phase Diagram of the Cuprate Superconductors
• Pedestrian Approach to the Two-Channel Kondo Model
• Three Body bound-states and the development of odd frequency pairing
• Bosonization in the two-channel Kondo model

Cited by in corpus (5)

• A strongly correlated metal built from Sachdev-Ye-Kitaev models
• Translationally invariant non-Fermi liquid metals with critical Fermi-surfaces: Solvable models
• Holographic unitary renormalization group for correlated electrons -- I: a tensor network approach
• Breakdown of the Chiral Luttinger Liquid in One-Dimension
• Bound-State Instability of the Chiral Luttinger Liquid in One-Dimension