Exploring Dirac Bilinears: Implications for Electromagnetic Control in Materials

Recent research by Shintaro Hoshino, Tatsuya Miki, Michi-To Suzuki, and Hiroaki Ikeda explores the implications of Dirac bilinears in condensed matter physics, particularly focusing on the relativistic corrections for observables and conjugate electromagnetic fields. The paper, titled "Dirac bilinears in condensed matter physics: Relativistic correction for observables and conjugate electromagnetic fields," was submitted to arXiv on August 30, 2024.

The authors highlight the significance of electron chirality and how certain microscopic physical quantities have been previously overlooked in condensed matter physics. They provide a framework for expressing physical quantities defined by the four-component Dirac field in terms of the two-component Schrödinger field, which is commonly used in this field. This analysis clarifies the relationship between these quantities and their conjugate electromagnetic fields.

The findings bridge the disciplines of condensed matter physics, quantum chemistry, and particle physics, suggesting potential advancements in the electromagnetic control of materials. The authors assert that their work enables an ab initio quantification of material characteristics such as chirality and axiality, which are particularly relevant for low-symmetry materials. This could stimulate further research into new functionalities and applications in material science.

The paper can be cited as follows: Hoshino, S., Miki, T., Suzuki, M., & Ikeda, H. (2024). Dirac bilinears in condensed matter physics: Relativistic correction for observables and conjugate electromagnetic fields. arXiv:2408.16983.