Renormalization group functions in two-dimensional massive Dirac-like systems near an interface

Abstract

In a recent paper [], pseudo quantum electrodynamics was used to simulate the Coulomb interaction between electrons and determine the mass renormalization in a two-dimensional Dirac-like system. In the present paper, we expand upon these findings by examining this system in a certain distance from a planar interface separating two dielectrics. Using the random-phase approximation, we calculate the renormalization group functions and show how the behaviors of the mass, Fermi velocity, and the anomalous dimension of the fermion field are affected by the presence of this interface. To exemplify an application of our formulas, we calculate the influence of this interface on the renormalized energy band gap in a two-dimensional material. In the appropriate limits, our results recover the corresponding ones reported in the aforementioned publication, as well as in others. Published by the American Physical Society 2024