Instability of a Landau Fermi liquid as the Mott insulator is approached

Abstract

We examine a two-dimensional Fermi liquid with a Fermi surface which touches the Umklapp surface first at the 4 points $(\pm \pi /2,\pm \pi /2)$ as the electron density is increased. Umklapp processes at the 4 patches near $(\pm \pi /2,\pm \pi /2)$ lead the renormalization group equations to scale to strong coupling resembling the behavior of a 2-leg ladder at half-filling. The incompressible character of the fixed point causes a breakdown of Landau theory at these patches. A further increase in density spreads the incompressible regions so that the open Fermi surface shrinks to 4 disconnected segments. This non-Landau state, in which parts of the Fermi surface are truncated to form an insulating spin liquid, has many features in common with phenomenological models recently proposed for the cuprate superconductors.

Minor changes. LaTeX2e, 12 pages, 5 figures. J. Phys. CM 10 (1998) L381

References in corpus (4)

• The Unusual Superconducting State of Underdoped Cuprates
• The N-chain Hubbard Model in Weak Coupling
• Ground State Properties of the Doped 3-Leg t-J Ladder
• Lightly Doped t-J Three-Leg Ladders - an Analog for the Underdoped Cuprates

Cited by in corpus (8)

• Hot Spots and Pseudogaps for Hole- and Electron-Doped High-Temperature Superconductors
• Truncation of a 2-dimensional Fermi surface due to quasiparticle gap formation at the saddle points
• Fermi Condensation Near van Hove Singularities Within the Hubbard Model on the Triangular Lattice
• Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering
• Two-loop beta-function from the exact renormalization group
• Renormalization Group Analysis of a Fermionic Hot Spot Model
• Umklapp scattering of pairs in BCS superconductivity theory
• Pseudogap and strange metal states in the square-lattice Hubbard model: A comprehensive study