Theoretical study reveals exact correlation functions in open XYZ spin-1/2 chains, highlighting structural universality across quantum spin models without non-local tail operators.
Key Points
To derive exact analytical representations for elementary blocks of correlation functions in the open quantum XYZ spin-1/2 chain with boundary parameters constrained to allow Bethe ansatz solutions.
Implemented Sklyanin’s quantum Separation of Variables method combined with Baxter’s Vertex-IRF transformation.
Identified a basis of local operators acting on transfer matrix eigenstates and solved the quantum inverse problem using scalar products of separate states.
Represented elementary correlation function blocks as multiple sums for finite chains and as multiple integrals in the thermodynamic limit.
Demonstrated that correlation function building blocks preserve a uniform algebraic structure across open XXX, XXZ, and XYZ spin chains without requiring non-local tail operator insertions.