Quantum group based modeling for the description of high temperature superconductivity and antiferromagnetism

Following our recent conjecture to model the phenomenons of antiferromagnetism and superconductivity by quantum symmetry groups, we propose in the present note three toy models, namely, one based on SOq(3) the other two constructed with the SOq(4) and SOq(5) quantum groups. Possible motivations and rationale for these choices are outlined. One of the prime motivations underlying our proposal is the experimental observation of stripe structure [phase] in high-T-c superconductivity [HTSC] materials. A number of experimental techniques have recently observed that the CuO2 are rather inhomogeneous, providing evidence for phase separation into a two component system. i.e. carrier-rich and carrier-poor regions. In particular, extended X-ray absorption fine structure [EXAFS] demonstrated that these domains forms stripes of undistorted and distorted local structures alternating with mesoscopic length scale comparable with coherence length in HTSC. Evidence for our conjecture is discussed. (C) 2000 Published by Elsevier Science B.V.