Yang-Baxter equation in spin chains with long range interacting systems

D. Bernard (1) , M. Gaudin (1) , F.D.M. Haldane , V. Pasquier (1)

1 SPhT - Service de Physique Théorique

We consider the $ su(n) $ spin chains with long range interactions and the spin generalization of the Calogero-Sutherland models. We show that their properties derive from a transfer matrix obeying the Yang-Baxter equation. We obtain the expression of the conserved quantities and we diagonalize them.

Domaines: Physique Générale [physics.gen-ph]

D. Bernard, M. Gaudin, F.D.M. Haldane, V. Pasquier. Yang-Baxter equation in spin chains with long range interacting systems. Journal of Physics A: Mathematical and Theoretical, 1993. ⟨hal-00163194⟩