Charge-Spin Separation in 2D Fermi Systems: Singular Interactions as Modified Commutators, and Solution of 2D Hubbard Model in Bosonized Approximation

TL;DR

This paper develops a bosonization approach for 2D fermion systems with repulsive interactions, revealing charge-spin separation and anomalous exponents akin to Luttinger liquids, by modifying commutators with phase shifts.

Contribution

It introduces a novel bosonization method incorporating finite forward scattering phase shifts to analyze 2D Hubbard models.

Findings

Charge-spin separation observed in 2D fermion systems.

Modified commutators lead to Luttinger liquid-like behavior.

Derivation of anomalous exponents in the 2D context.

Abstract

The general 2-dimensional fermion system with repulsive interactions (typified by the Hubbard Model) is bosonized, taking into account the finite on-shell forward scattering phase shift derived in earlier papers. By taking this phase shift into account in the bosonic commutation relations a consistent picture emerges showing the charge-spin separation and anomalous exponents of the Luttinger liquid.