Explicit conditions are given under which dimer states are guaranteed ground states in generalized Majumdar-Ghosh spin chains and ladders with arbitrary-range and anisotropic interactions, validated by exact diagonalization.
Bethe-ansatz equations for quantum Heisenberg chains with elliptic exchange
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abstract
The eigenvectors of the Hamiltonian ${\cal H}_{N}$ of $N$-sites quantum spin chains with elliptic exchange are connected with the double Bloch meromorphic solutions of the quantum continuous elliptic Calogero-Moser problem. This fact allows one to find the eigenvectors via the solutions to the system of highly transcendental equations of Bethe-ansatz type which is presented in explicit form.
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2026 1verdicts
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Exact dimer ground states of long-range spin chains and ladders
Explicit conditions are given under which dimer states are guaranteed ground states in generalized Majumdar-Ghosh spin chains and ladders with arbitrary-range and anisotropic interactions, validated by exact diagonalization.