The amplitudes of the leading asymptotics of the XX0 Heisenberg spin chain depend on the generating function of plane partitions with the additional conditions. In our paper we apply the Cauchy–Binet determinantal identity for derivation of the generating function of plane partitions with the fixed conjugate trace in a high box.
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 509, 2021, pp. 25–38.
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Bogoliubov, N.M., Malyshev, C.L. Cauchy–Binet Determinantal Identity and Enumeration of Plane Partitions in a High Box. J Math Sci 275, 239–248 (2023). https://doi.org/10.1007/s10958-023-06676-8
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DOI: https://doi.org/10.1007/s10958-023-06676-8