Quantum Group based Modelling for the description of high temperature superconductivity and antiferromagnetism

TL;DR

This paper proposes quantum group-based toy models to describe high-temperature superconductivity and antiferromagnetism, motivated by experimental observations of stripe phases and phase separation in HTSC materials.

Contribution

Introduction of three toy models using quantum groups $SO_q(3)$, $SO_q(4)$, and $SO_q(5)$ to model phenomena in high T_c superconductors and antiferromagnetism.

Findings

Models align with experimental stripe phase observations

Quantum symmetry groups provide a new framework for HTSC modeling

Potential for explaining phase inhomogeneity in superconductors

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.