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The corresponding eigenstate|ψ 3(−π)⟩= 0e −i π 3 1 0 T / √ 2 is a type-HL state belonging to l= 1

Three-magnon sector Fork=−π∈K 3, Mathematica can only output a single closed-form eigenvalue ofH 3(−π),E 3(−π) = J+ −J 1 +J 2

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Exact momentum-space analysis of small spin-1/2 $J_1$-$J_2$ rings

cond-mat.str-el · 2026-04-25 · unverdicted · novelty 5.0

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.

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  • Exact momentum-space analysis of small spin-1/2 $J_1$-$J_2$ rings cond-mat.str-el · 2026-04-25 · unverdicted · none · ref 8

    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.