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19952024
most citedGlobal properties of the spectrum of the Haldane-Shastry spin chain

60 citations · 714 across the 50 of their papers we have counts for

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11 papers · 1 filter

math-ph2020

The open supersymmetric Haldane-Shastry spin chain and its associated motifs

Jose Carrasco, Federico Finkel, Artemio González-López +1

We study the open version of the su supersymmetric Haldane-Shastry spin chain associated to the extended root system. We first evaluate the model's partition function…

math-ph2017★ 1 cited

Jastrow-like ground states for quantum many-body potentials with near-neighbors interactions

Marzieh Baradaran, Jose A. Carrasco, Federico Finkel +1

We completely solve the problem of classifying all one-dimensional quantum potentials with nearest- and next-to-nearest-neighbors interactions whose ground state is Jastrow-like, i…

math-ph2015★ 15 cited

Yangian-invariant spin models and Fibonacci numbers

Federico Finkel, Artemio Gonzalez-Lopez

We study a wide class of finite-dimensional su(m|n)-supersymmetric models closely related to the representations of the Yangian Y(sl(m|n)) labeled by border strips. We quantitative…

math-ph2010★ 23 cited

On the level density of spin chains of Haldane--Shastry type

A. Enciso, F. Finkel, A. Gonzalez-Lopez

We provide a rigorous proof of the fact that the level density of all su(m) spin chains of Haldane-Shastry type associated with the A_{N-1} root system approaches a Gaussian distri…

math-ph2010★ 20 cited

Inozemtsev's hyperbolic spin model and its related spin chain

J. C. Barba, F. Finkel, A. Gonzalez-Lopez +1

In this paper we study Inozemtsev's su(m) quantum spin model with hyperbolic interactions and the associated spin chain of Haldane-Shastry type introduced by Frahm and Inozemtsev.…

math-ph2009★ 14 cited

The spin Sutherland model of D_N type and its associated spin chain

B. Basu-Mallick, F. Finkel, A. Gonzalez-Lopez

In this paper we study the su(m) spin Sutherland (trigonometric) model of D_N type and its related spin chain of Haldane-Shastry type obtained by means of Polychronakos's freezing…