# Lorentz Covariance of Dirac Electrons in Solids: Dielectric and Diamagnetic Properties

## TL;DR

This paper explores how Lorentz covariance in Dirac electrons within solids like bismuth influences their dielectric and diamagnetic properties, revealing a strong correlation and explaining large diamagnetism.

## Contribution

It demonstrates the Lorentz covariance of Dirac electrons in solids and connects this symmetry to their dielectric and diamagnetic behaviors, providing new insights into their electrodynamics.

## Key findings

- Lorentz covariance leads to a correlation between dielectric and diamagnetic properties.
- Enhanced permittivity is linked to large diamagnetism in Dirac electron systems.
- The study compares solid-state Dirac electrons with quantum electrodynamics principles.

## Abstract

We study the electrodynamics of Dirac electrons in solids (e.g., bismuth) by comparing it with quantum electrodynamics (QED). It is shown that Lorentz covariance associated with the Dirac electrons in solids results in a remarkable correlation between the dielectric and diamagnetic properties, leading to a significant enhancement in the permittivity directly linked to the well-known phenomenon of large diamagnetism.