Non - Fermi Liquid Behavior in Fluctuating Gap Model: From Pole to Zero of the Green's function

TL;DR

This paper investigates non-Fermi liquid behavior in the fluctuating gap model across 1D and 2D systems, highlighting marginal Fermi liquid characteristics, Fermi surface stability, and implications for pseudogap phenomena and ARPES observations.

Contribution

It provides a detailed analysis of NFL behavior in the fluctuating gap model, including quasiparticle renormalization and Fermi surface destruction mechanisms in 1D and 2D.

Findings

Demonstrates marginal Fermi liquid or Luttinger liquid behavior in FGM.

Shows topological stability of the Fermi surface despite pseudogap fluctuations.

Connects NFL spectral features to ARPES experiments in copper oxides.

Abstract

We analyze non - Fermi liquid (NFL) behavior of fluctuating gap model (FGM) of pseudogap behavior in both 1D and 2D. We discuss in detail quasiparticle renormalization (Z - factor), demonstrating a kind of "marginal" Fermi liquid or Luttinger liquid behavior and topological stability of the "bare" Fermi surface (Luttinger theorem). In 2D case we discuss effective picture of Fermi surface "destruction" both in "hot spots" model of dielectric (AFM, CDW) pseudogap fluctuations, as well as for qualitatively different case of superconducting d - wave fluctuations, reflecting NFL spectral density behavior and similar to that observed in ARPES experiments on copper oxides.