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Spinon attraction in spin- 1/2 antiferromagnetic chains.
B A Bernevig1, D Giuliano, R B Laughlin
1Department of Physics, Stanford University, Stanford, CA 94305, USA.
Physical Review Letters
|May 1, 2001
Summary
We derived the two-spinon wave function for the Haldane-Shastry model, revealing an attractive spinon interaction. This attraction intensifies with system size, influencing susceptibility divergence in the thermodynamic limit.
Area of Science:
- Condensed Matter Physics
- Quantum Magnetism
- Many-Body Theory
Background:
- The Haldane-Shastry model is a key 1D quantum spin chain exhibiting exotic magnetic properties.
- Understanding spinon excitations is crucial for characterizing such models.
- Previous analyses lacked a rigorous framework for spinon interactions.
Purpose of the Study:
- To derive the two-spinon wave function representation for the Haldane-Shastry model.
- To rigorously analyze the interactions and physical effects of spinons.
- To investigate the impact of spinon attraction on magnetic susceptibility.
Main Methods:
- Derivation of the two-spinon wave function in spinon coordinates.
- Analytical investigation of spinon-spinon interactions.
- Analysis of the thermodynamic limit and susceptibility divergence.
Main Results:
- A precise representation of the two-spinon wave function was obtained.
- Spinons exhibit an attractive interaction.
- The strength of this attraction scales with system size, leading to power-law divergence of susceptibility.
Conclusions:
- The derived spinon wave function provides a powerful tool for studying spinon dynamics.
- The attractive nature of spinons is a fundamental property in this model.
- The findings offer insights into the magnetic susceptibility behavior of 1D quantum spin systems.