Quasiparticle interference patterns in bilayer graphene with trigonal warping

TL;DR

This paper analytically investigates quasiparticle interference patterns in bilayer graphene considering trigonal warping, providing explicit formulas and validating results against experiments and prior semi-analytical studies.

Contribution

It introduces a perturbative analytical approach to quasiparticle interference in bilayer graphene with trigonal warping, including multiple impurity types and comparison with experimental data.

Findings

Good agreement with experimental data

Closed-form expressions for interference patterns

Validation against semi-analytical T-matrix results

Abstract

We calculate the form of quasiparticle interference patterns in bilayer graphene within a low-energy description, taking into account perturbatively the trigonal warping terms. We introduce four different types of impurities localized on the A and B sublattices of the first and the second layer, and we obtain closed-form analytical expressions both in real and Fourier spaces for the oscillatory corrections to the local density of states generated by the impurities. Finally, we compare our findings with recent experimental and semi-analytical T-matrix results from arXiv:2104.10620 and we show that there is a very good agreement between our findings and the previous results, as well as with the experimental data.