To the top

Page Manager: Webmaster
Last update: 9/11/2012 3:13 PM

Tell a friend about this page
Print version

Resurrecting the partiall… - University of Gothenburg, Sweden Till startsida
To content Read more about how we use cookies on

Resurrecting the partially isotropic Haldane-Shastry model

Journal article
Authors Jules Lamers
Published in Physical Review B
Volume 97
ISSN 2469-9950
Publication year 2018
Published at Department of Mathematical Sciences
Language en
Subject categories Probability Theory and Statistics, Control Engineering, Applied Mechanics


© 2018 American Physical Society. We present an alternative, simpler expression for the Hamiltonian of the partially isotropic (XXZ-like) version of the Haldane-Shastry model, which was derived by D. Uglov over two decades ago in an apparently little-known preprint. While resembling the pairwise long-range form of the Haldane-Shastry model, our formula accounts for the multispin interactions obtained by Uglov. Our expression is physically meaningful, makes hermiticity manifest, and is computationally more efficient. We discuss the model's properties, including its limits and (ordinary and quantum-affine) symmetries, and review the model's exact spectrum found by Uglov for finite spin-chain length, which parallels the isotropic case up to level splitting due to the anisotropy. We also extend the partially isotropic model to higher rank, with SU(n) "spins," for which the spectrum is determined by sln motifs.

Page Manager: Webmaster|Last update: 9/11/2012

The University of Gothenburg uses cookies to provide you with the best possible user experience. By continuing on this website, you approve of our use of cookies.  What are cookies?