Geodesic
Cauchy--Binet determinantal identity and enumeration of plane partitions in a high box
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 28, Tome 509 (2021), pp. 25-38

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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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     author = {N. M. Bogoliubov and C. L. Malyshev},
     title = {Cauchy--Binet determinantal identity and enumeration of plane partitions in a high box},
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N. M. Bogoliubov; C. L. Malyshev. Cauchy--Binet determinantal identity and enumeration of plane partitions in a high box. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 28, Tome 509 (2021), pp. 25-38. http://geodesic.mathdoc.fr/item/ZNSL_2021_509_a1/