The emergence of one-dimensional channels in marginal-angle twisted bilayer graphene

Niels Rene Walet, Francisco Guinea

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Abstract

We generalize the continuum model for Moir\'e structures made from twisted graphene layers, in order to include lattice relaxation and the formation of channels at very small (marginal) twist angles. We show that a precise description of the electronic structure at such small angles can be achieved by i) calculating first the relaxed atomic structure, ii) projecting the interlayer electronic hopping parameters using a suitable basis of Bloch states, and iii) increasing the number of harmonics in the continuum approximation to interlayer hopping. The results show a complex structure of quasi one dimensional states when a finite bias is applied.
Original languageEnglish
Journal2 D Materials
Volume7
Issue number1
Early online date14 Nov 2019
DOIs
Publication statusPublished - 4 Dec 2019

Keywords

  • graphene
  • twisted bilayer
  • marginal angle

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