q-Deformed Anisotropic Superexchange Interaction, Frustration and GL_{pq}(2)

SERGIO GRILLO; HUGO MONTANI

MODERN PHYSICS LETTERS B

WORLD SCIENTIFIC PUBL CO PTE LTD

Año: 1998 p. 859 - 866

0217-9849

We study a suitable q-deformed version of the Moriya´s superexchange interaction theory by means of its underlying quantum group structure. We show that the one-dimensional chain case is associated with the non-standard quantum group GL_{pq}(2), evidencing the integrability structure of the system. This biparametric deformation of GL(2,C) arise as a twisting of GL_{q}(2) and it match exactly the local rotation appearing in the Shekhtman´s work. This allow us to express the frustration condition in terms of this twisting, also showing that effect of the Moriya´s vector amounts to a twisting of the boundary condition.