Resurrecting the partially isotropic Haldane-Shastry model
نویسندگان
چکیده
منابع مشابه
The trigonometric counterpart of the Haldane Shastry Model
The hierarchy of Integrable Spin Chain Hamiltonians, which are trigonometric analogs of the Haldane Shastry Model and the associated higher conserved charges, is derived by a reduction from the trigonometric Dynamical Models of Bernard-Gaudin-Haldane-Pasquier. The Spin Chain Hamiltonians have the property of U ′ q(ĝl2)-invariance. The spectrum of the Hamiltonians and the U ′ q(ĝl2)-representati...
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The dynamical structure factor S(q, ω) of the SU(K) (K = 2, 3, 4) Haldane-Shastry model is derived exactly at zero temperature for arbitrary size of the system. The result is interpreted in terms of free quasi-particles which are generalization of spinons in the SU(2) case; the excited states relevant to S(q, ω) consist of K quasi-particles each of which is characterized by a set of K − 1 quant...
متن کاملLattice integrable systems of Haldane-Shastry type.
We present a new lattice integrable system in one dimension of the Haldane-Shastry type. It consists of spins positioned at the static equilibrium positions of particles in a corresponding classical Calogero system and interacting through an exchange term with strength inversely proportional to the square of their distance. We achieve this by viewing the Haldane-Shastry system as a high-interac...
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Using a formalism developed by Polychronakos, we explicitly construct a set of invariants of the motion for the Haldane-Shastry SU(N) chain. Submitted to Physical Review Letters, PACS numbers: 75.10.Jm, 05.30.-d, 03.65.Ca † [email protected] ‡ [email protected] There have been several recent papers on the Haldane-Shastry model for spin chains and its SU(N) generalizat...
متن کاملLevel density of spin chains of Haldane-Shastry type.
We provide a rigorous proof of the fact that the level density of all known su(m) spin chains of Haldane-Shastry type associated with the A(N-1) root system approaches a Gaussian distribution as the number of spins N tends to infinity. Our approach is based on the study of the large-N limit of the characteristic function of the level density, using the description of the spectrum in terms of mo...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2018
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.97.214416