Group Theory Explanation of Microscopic Superconductivity Theory

Abstract

In 1911, Dutch physicist Onnes discovered that after liquefying helium gas. At around 15 K, the resistance of mercury drops sharply to zero, which is named superconductivity and marks the beginning of human research on superconductors. So far, over a hundred types of superconducting materials have been discovered. With the discovery of superconducting materials and phenomena, many theoretical models have emerged to explain superconducting phenomena, promoting human understanding of condensed matter micro magnetism and other fields. Group theory is a mathematical concept. In mathematics and abstract algebra, group theory studies the algebraic structure of groups. In the study of physics and chemistry, many different physical structures, such as crystal structures and hydrogen atomic structures, can be modeled using group theory methods. So group theory and related group representation theory have a lot of applications in physics and chemistry. This article will elaborate on the phonon model that explains superconductivity theory, Cooper’s model. And attempt to construct a model using molecular point group crystal dynamics knowledge to explore micro superconducting phenomena and theories.