q-Deformed anisotropic superexchange interaction, frustration and GL_{pq}(2)

S. GRILLO; H. MONTANI

MODERN PHYSICS LETTERS B

WORLD SCIENTIFIC PUBL CO PTE LTD

Lugar: London, UK; Año: 1998 vol. 12 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}left( 2 ight) $, evidencing the integrability structure of the system. This biparametric deformation of $GLleft( 2,{f C} ight) $ arise as a twisting of $GL_{q}left( 2 ight) $ and it match exactly the local rotation appearing in the Shekhtman´s work cite{Sh}. This allows 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.