Quantum Group based Modeling for the description of high temperature superconductivity and antiferromagnetism: Some supporting evidence

Details Quantum Group based Modeling for the description of high temperature superconductivity and antiferromagnetism: Some supporting evidence Quantum Group based Modeling for the description of high temperature superconductivity and antiferromagnetism: Some supporting evidence

2001-02-25

arxiv.org/abs/cond-mat/0102456v1

Phys. Lett. A272, (2000), 107-112

Physics

Condensed Matter

9 pages revtex, as the title indicates this paper contains contents of cond-mat/9903038 plus supporting evidence, the entire c

Scientific paper

10.1016/S0375-9601(00)00402-3

Following our recent conjecture to model the phenomenona of antiferromagnetism and superconductivity by quantum symmetry groups, we propose in the present note three toy models, namely, one based on SO_{q}(3) the other two constructed with the SO_{q}(4) and SO_{q}(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 CuO_{2} 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.

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