Geodesic
Ising limit of a~Heisenberg $XXZ$ magnet and some temperature correlation functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 2, pp. 179-193

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We consider the Heisenberg spin-$1/2$ $XXZ$ magnet in the case where the anisotropy parameter tends to infinity (the so-called Ising limit). We find the temperature correlation function of a ferromagnetic string above the ground state. Our approach to calculating correlation functions is based on expressing the wave function in the considered limit in terms of Schur symmetric functions. We show that the asymptotic amplitude of the above correlation function at low temperatures is proportional to the squared number of strict plane partitions in a box.
Keywords: Heisenberg magnet, Ising limit, correlation function. 
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     author = {N. M. Bogolyubov and K. L. Malyshev},
     title = {Ising limit of {a~Heisenberg} $XXZ$ magnet and some temperature correlation functions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {179--193},
     publisher = {mathdoc},
     volume = {169},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_169_2_a0/}
}
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N. M. Bogolyubov; K. L. Malyshev. Ising limit of a~Heisenberg $XXZ$ magnet and some temperature correlation functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 2, pp. 179-193. http://geodesic.mathdoc.fr/item/TMF_2011_169_2_a0/