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

Abstract

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.

9 pages revtex, as the title indicates this paper contains contents of cond-mat/9903038 plus supporting evidence, the entire content is the same as Phys. Lett. A272, (2000), 107-112 except for the title

References in corpus (9)

• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• One-dimensional nature of the magnetic fluctuations in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Magnetic scaling in cuprate superconductors
• Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder
• Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions
• The singlet-triplet magnetism and induced spin fluctuations in the high-$T_c$ copper oxides
• A Conjecture for possible theory for the description of high temperature superconductivity and antiferromagnetism
• The patching of critical points using quantum group
• The choice of the symmetry group for the cuprates

Cited by in corpus (7)

• Exact analytical expression for magnetoresistance using quantum groups
• Theoretical modeling for quantum liquids from 1d to 2d dimensional crossover using quantum groups
• The patching of critical points using quantum group
• The choice of the symmetry group for the cuprates
• Quantum Groups, Strings and HTSC materials II
• SET based experiments for HTSC materials: II
• Quantum Group Based Theory for Antiferromagnetism and Superconductivity: Proof and Further Evidence