Spin-Charge Separation in Two Dimensions - A Numerical Study

TL;DR

This study uses numerical simulations to investigate spin-charge separation in two-dimensional lattices, finding it occurs in certain conditions but not in highly doped metallic systems.

Contribution

It provides the first numerical evidence of spin-charge separation in two-dimensional systems using Hubbard and t-J models.

Findings

Spin-charge separation observed in two-dimensional lattices.

Absent in highly doped metallic systems.

Comparison of 1D and 2D dynamics highlights differences.

Abstract

The question of spin-charge separation in two-dimensional lattices has been addressed by numerical simulations of the motion of one hole in a half-filled band. The calculations have been performed on finite clusters with Hubbard and t-J models. By comparing the time evolution of spin and charge polarisation currents in one and two dimensions, evidence in favor of spin-charge separation in two dimensions is presented. In contrast with this, spin-charge separation is absent in a highly doped, metallic, system.