Quasiparticle interference patterns in bilayer graphene with trigonal warping

Abstract

We calculate the form of quasiparticle interference patterns in bilayer graphene within a lowenergy 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.

Vacancy clustering effect on the electronic and transport properties of bilayer graphene nanoribbons

“…In all calculations discussed here, we neglected the electron-electron interaction. Recent experimental measurements of the confinement properties in BLG-based nanostructures using scanning tunneling microscope [17,[45][46][47][48][49] have been confirmed by single-particle TB calculations, even in the presence of charge defects, impurities, dopants and adatoms [46,48,49], showing that the theoretical framework used here is valid within certain regimes and allows us to have physical insights in the effects of disorder on the electronic and transport properties of BLG nanostructures.…”

“…only SVA or only SVB disorders), although inducing an approximately equal number of states as SV disorder for low vacancy concentration, creates considerably different results in the bend resistance. Moreover, the experimental verification of the vacancy type and impurities (dopants or adatom) in BLG system can be achieved by scanning tunnelling microscopy and spectroscopy measurements, as for instance as reported in [45,46,48,49]. In particular, [48] and [49] have experimentally shown, by using atomic-scale resolution with scanning tunneling microscopy and spectroscopy, the consequences of points defects on the BLG spectrum with a real space characterization.…”

Wavefronts Dislocations of Friedel Oscillations in Graphene: Trigonal Warping Effect

“…[39,40] There are also many relevant studies on the trigonal warping effect in bilayer [41][42][43][44][45][46][47] and multilayer [48][49][50][51] graphene. In particular, the trigonal warping effect on FOs has attracted theoretical [52,53] and experimental [54] interest, leaving the trigonal warping effect on wavefront dislocations unexplored.…”