Exact few-magnon Bloch states block-diagonalize the J1-J2 ring Hamiltonian for N=6,8 into at most 4x4 blocks, giving analytical access to Majumdar-Ghosh and HKNN ground states whose momentum-space forms match their real-space versions for N=6.
Tasaki,Physics and Mathematics of Quantum Many- Body Systems(Springer, Cham, 2020)
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Exact momentum-space analysis of small spin-1/2 $J_1$-$J_2$ rings
Exact few-magnon Bloch states block-diagonalize the J1-J2 ring Hamiltonian for N=6,8 into at most 4x4 blocks, giving analytical access to Majumdar-Ghosh and HKNN ground states whose momentum-space forms match their real-space versions for N=6.