3D massive Dirac fermions with chemical potential in external magnetic field: Current-current correlation function

TL;DR

This paper calculates the current-current correlation function for 2D Dirac fermions under magnetic field, chemical potential, and gap, providing insights into their electromagnetic response in such conditions.

Contribution

It presents a detailed calculation of the current-current correlation function for 2D Dirac electrons with magnetic field, chemical potential, and gap, extending previous models.

Findings

Derived explicit form of the correlation function

Analyzed effects of magnetic field and chemical potential

Provided insights into electromagnetic response of Dirac systems

Abstract

The response of fermionic system to external gauge fields in presence of non-quantized magnetic field is determined by current-current correlation function $\Pi_{\mu\nu}({\bf B})$. We study $2D$ dimensional Dirac electron system and calculate current-current correlation function in a presence of magnetic field $B$, chemical potential $\eta$ and gap $m$.