One and Two Dimensional Spin Systems in the Regime Close to Deconfinement of Spinons

TL;DR

This paper investigates spinon dynamics near deconfinement in various one- and two-dimensional spin models derived from the Majumdar-Ghosh chain, analyzing their excitation spectra and interaction characteristics.

Contribution

It introduces new spin models based on the Majumdar-Ghosh chain to explore spinon behavior near deconfinement, including calculations of spectra and interaction effects.

Findings

Calculated singlet-triplet splitting near deconfinement

Analyzed magnetic structure factors in various models

Determined tunneling amplitudes of spinons

Abstract

Based on the Majumdar-Ghosh chain we construct several spin models which allow us to investigate spinon dynamics in the regime close to deconfinement of spinons. We consider the J_1 - J_2 - \delta model, two coupled J_1 - J_2 chains (ladder), and a 2D array of coupled J_1 - J_2 chains. Using the picture of two spinons interacting with a string confining potential we calculate the singlet- triplet splitting, magnetic structure factor, tunneling amplitude of two spinons and the excitation spectra for the ladder and the array.