The influence of defects on the conductivity of graphene within the effective theory approach

TL;DR

This paper investigates how structural defects affect graphene's electrical conductivity by using Monte Carlo simulations within an effective quantum field theory framework, revealing a shift in the phase transition point.

Contribution

It introduces a novel simulation approach combining Monte Carlo methods with an effective field theory to study defect effects in graphene.

Findings

Defects shift the semimetal-insulator phase transition point to higher substrate permittivity values.

The effective theory approach captures the impact of defects on graphene's electronic properties.

Monte Carlo simulations provide quantitative insights into defect-induced phase shifts.

Abstract

The results of the simulations by Monte Carlo method of graphene with structural defects are presented. The calculations are performed within an effective quantum field theory with non-compact $3\hm + 1$--dimensional Abelian gauge field and $2\hm + 1$--dimensional Kogut-Susskind fermions. It was found that defects shift the phase transition point semimetal-insulator towards higher values of a substrate permittivity.