Many-spinon states and the secret significance of Young tableaux

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.98.237202

We establish a one-to-one correspondence between the Young tableaux
classifying the total spin representations of N spins and the exact eigenstates
of the the Haldane-Shastry model for a chain with N sites classified by the
total spins and the fractionally spaced single-particle momenta of the spinons.

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