Thermodynamic Properties of 1d Heisenberg Model. Magnetic Moment of Spinon

TL;DR

This paper investigates the thermodynamic properties of the 1D Heisenberg antiferromagnetic model using a quasiparticle approach, deriving key thermodynamic quantities and proposing a magnetic moment hypothesis for kinks.

Contribution

It introduces a quasiparticle model for the 1D Heisenberg antiferromagnet and derives thermodynamic properties consistent with existing theories, proposing a new magnetic moment value for kinks.

Findings

Derived low-temperature heat capacity and susceptibility with corrections.

Results agree with previous computations and conformal field theory.

Proposed magnetic moment of kink as √2 times the electron's.

Abstract

The one dimensional spin 1/2 Heisenberg antiferromagnet is considered using a simple quasiparticle picture - an interacting Fermi gas of kinks. Using this picture the low temperature heat capacity, and the magnetic susceptibility with logarithmic field and temperature corrections are derived. The results obtained are in agreement with previous computations and conformal field theory calculations. It is hypothesised that the magnetic moment of the kink $g_{kink}=\sqrt{2}g_{electron}$.