Pseudofermion scattering theory

TL;DR

This paper develops a scattering theory for pseudofermions in the Hubbard chain, revealing a simplified, commutative S matrix structure that explains complex spectral properties and matches experimental observations in low-dimensional materials.

Contribution

It introduces a novel pseudofermion scattering framework with a commutative S matrix, enhancing understanding of spectral features in correlated low-dimensional systems.

Findings

Pseudofermion S matrix is a product of elementary two-pseudofermion scatterings.

The scattering theory explains exotic spectral properties in low-dimensional materials.

Experimental observations in organic metals confirm the predicted scattering mechanisms.

Abstract

In this paper we study the scattering theory associated with the pseudofermion dynamical theory for the Hubbard chain. In terms of pseudofermions the spectral properties are controlled by zero-momentum forward scattering only. The pseudofermion $S$ matrix is expressed as a commutative product of $S$ matrices, each corresponding to an elementary two-pseudofermion scattering event. This commutative factorization is stronger than the usual factorization associated with Yang-Baxter Equation for the original spin 1/2 electron bare $S$ matrix. Our results reveal the scattering mechanisms which control the exotic finite-energy spectral properties of the low-dimensional complex materials and correlated systems of cold fermionic atoms on an optical lattice. Importantly, the exotic scatterers and scattering centers predicted by the theory were observed by angle-resolved photoelectron spectroscopy in low-dimensional organic metals.