Introduction to the Thermodynamics of Spin Chains
Luca Mezincescu, Rafael I. Nepomechie
TL;DR
This paper reviews the derivation and solution of thermodynamic Bethe Ansatz equations for the antiferromagnetic Heisenberg spin chain, focusing on low-temperature and small-field regimes to compute thermodynamic properties.
Contribution
It provides a comprehensive overview of deriving and solving TBA equations for the Heisenberg chain in external fields, including explicit calculations of thermodynamic quantities.
Findings
Calculated specific heat and magnetic susceptibility at low temperatures
Demonstrated solution methods for TBA equations in small-field limit
Reviewed thermodynamic properties of the antiferromagnetic Heisenberg chain
Abstract
We review how to obtain the thermodynamic Bethe Ansatz (TBA) equations for the antiferromagnetic Heisenberg ring in an external magnetic field. We review how to solve these equations for low temperature and small field, and calculate the specific heat and magnetic susceptibility.
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Taxonomy
TopicsPhysics of Superconductivity and Magnetism · Magnetism in coordination complexes · Quantum and electron transport phenomena