Abstract
We study the XXX Heisenberg spin 1/2 anti-ferromagnet. We evaluate a probability of formation of a ferromagnetic string in the anti-ferromagnetic ground state in the thermodynamical limit. We prove that for short strings the probability can be expressed in terms of the Riemann zeta function with odd arguments.
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Boos, H.E., Korepin, V.E. (2002). Evaluation of Integrals Representing Correlations in the XXX Heisenberg Spin Chain. In: Kashiwara, M., Miwa, T. (eds) MathPhys Odyssey 2001. Progress in Mathematical Physics, vol 23. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0087-1_4
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DOI: https://doi.org/10.1007/978-1-4612-0087-1_4
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