Marginal Fermi Liquid Theory in the Hubbard Model

Abstract

We find Marginal Fermi Liquid (MFL) like behavior in the Hubbard model on a square lattice for a range of hole doping and on-site interaction parameter U. Thereby we use a self-consistent projection operator method. It enables us to compute the momentum and frequency dependence of the single-particle excitations with high resolution. The Fermi surface is found to be hole-like in the underdoped and electron-like in the overdoped regime. When a comparison is possible we find consistency with finite temperature quantum Monte Carlo results. We also find a discontinuous change with doping concentration from a MFL to Fermi liquid behavior resulting from a collapse of the lower Hubbard band. This renders Luttinger's theorem inapplicable in the underdoped regime.

8 pages, 6 figures

References in corpus (6)

• A Quantum Monte Carlo algorithm for non-local corrections to the Dynamical Mean-Field Approximation
• Anomalous low doping phase of the Hubbard model
• ARPES Spectra of the Hubbard model
• Filling-Control Metal-Insulator Transition in the Hubbard Model Studied by the Operator Projection Method
• A Fermi liquid model for the overdoped and optimally doped cuprate superconductors: scattering rate, susceptibility, spin resonance peak and superconducting transition
• The non-Fermi-liquid nature of the metallic states of the Hubbard Hamiltonian

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• Emergence of non-Fermi-liquid behavior due to Fermi surface reconstruction in the underdoped cuprate superconductors
• DC Hall coefficient of the strongly correlated Hubbard model
• Composite Operator Method analysis of the underdoped cuprates puzzle
• Fermi Liquids and the Luttinger Integral
• Kink Structure in the Quasiparticle Band of Doped Hubbard Systems
• Size and shape of Mott regions for fermionic atoms in a two-dimensional optical lattice
• Spectral density of the Hubbard-model by the continued fraction method
• The composite operator method route to the 2D Hubbard model and the cuprates
• Nonlocal Excitation Spectra in 2D Doped Hubbard Model
• Coulomb drag between two strange metals
• Full Self-Consistent Projection Operator Approach to Nonlocal Excitations in Solids
• Atypical Behavior of Collective Modes in Two-Dimensional Fermi Liquids
• Shot noise in a phenomenological model of a marginal Fermi liquid
• Strange metal in the doped Hubbard model via percolation