The many-Electron Problem in Novel Low-Dimensional Materials

TL;DR

This paper explores the one-dimensional Hubbard model, providing new algebraic and perturbative methods to understand electron interactions, excitations, and transport properties in low-dimensional materials.

Contribution

It introduces an algebraic representation and pseudoparticle perturbation theory for the 1D Hubbard model, advancing analytical tools for low-dimensional electron systems.

Findings

New algebraic framework for the Hubbard model Hilbert space

Perturbation theory for pseudoparticles in 1D systems

Insights into finite-size effects and zero-temperature transport

Abstract

This work deals with the one-dimensional Hubbard model. It has seven chapters: 1. Introduction; 2. The Hubbard Model; 3. Algebraic Representation for the Hilbert Space of the 1D Hubbard Model; 4. Pseudoparticle Perturbation Theory; 5. Excitations and Finite-Size Effects; 6. Zero-Temperature Transport; 7. Conclusions.