Numerical Study of Pseudo-gap Anisotropy for a Tight Binding Band

TL;DR

This paper investigates how Fermi surface anisotropy affects pseudo-gap spectral weight in tight binding bands, highlighting the role of hot spots and mode interactions, with implications for high-temperature superconductors.

Contribution

It provides a detailed numerical analysis of pseudo-gap anisotropy and emphasizes the significance of saddle points and mode effects in high-Tc cuprates.

Findings

Fermi surface saddle points significantly influence pseudo-gap anisotropy.

Finite frequency modes create a peak-dip-hump spectral structure.

The study connects spectral features to high-temperature superconductivity mechanisms.

Abstract

The Fermi surface anisotropy of a pseudo-gap in the spectral weight, caused by superconducting fluctuations or anti-ferromagnetic fluctuations, is calculated for a tight binding band. The importance of the Fermi surface saddle point, or hot spot, is illustrated. A peak-dip-hump structure due to a finite frequency mode, is briefly explored. The connection to high temperature superconducting copper-oxides is discussed.