Geodesic
The ground state-vector of the $XY$ Heisenberg chain and the Gauss decomposition
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 25, Tome 473 (2018), pp. 66-76

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The $XY$ Heisenberg spin$\frac12$ chain is considered in the fermion representation. The construction of the ground state-vector is based on the group-theoretical approach. The exact expression for the ground state-vector will allow to study the combinatorics of the correlation functions of the model. 
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     author = {N. Bogoliubov and C. Malyshev},
     title = {The ground state-vector of the $XY$ {Heisenberg} chain and the {Gauss} decomposition},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     volume = {473},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_473_a3/}
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N. Bogoliubov; C. Malyshev. The ground state-vector of the $XY$ Heisenberg chain and the Gauss decomposition. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 25, Tome 473 (2018), pp. 66-76. http://geodesic.mathdoc.fr/item/ZNSL_2018_473_a3/