Quantum Number Fractionalization in Antiferromagnets
R. B. Laughlin (Stanford), D. Giuliano (Napoli), R. Caracciolo, (Torino), O. White (Oxford)
TL;DR
This paper provides a pedagogical overview of the mathematical framework of 1D spin-1/2 antiferromagnets, highlighting key models and concepts such as spinons, holons, and supersymmetry.
Contribution
It introduces and explains the mathematical structures underlying fractionalization phenomena in antiferromagnetic chains, including the Haldane-Shastry and Kuramoto-Yokoyama models.
Findings
Explanation of spinon and holon excitations
Description of supersymmetric Hamiltonians
Analysis of conserved spin currents
Abstract
This is a pedagogical introduction to the mathematics of 1-dimensional spin-1/2 antiferromagnets. Topics covered include the Haldane-Shastry Hamiltonian, vector ``supercharges'', conserved spin currents, spinons, the supersymmetric Kuramoto-Yokoyama Hamiltonian, and holons.
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Taxonomy
TopicsPhysics of Superconductivity and Magnetism · Magnetism in coordination complexes · Advanced Physical and Chemical Molecular Interactions