Published October 22, 2024 | Version v2
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Transport effects of twist-angle disorder in mesoscopic twisted bilayer graphene

  • 1. International Research Centre MagTop, Institute of Physics, Polish Academy of Sciences, Al. Lotników 32/46, Warsaw, Poland
  • 2. Faculty of Physics, University of Warsaw, ulica Pasteura 5, 02-093 Warsaw, Poland
  • 3. Department of Applied Physics, Aalto University, 00076 Aalto, Espoo, Finland
  • 4. International Research Centre MagTop, Institute of Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warsaw, Poland

Description

Magic-angle twisted bilayer graphene is a tunable material with remarkably flat energy bands near the Fermi level, leading to fascinating transport properties and correlated states at low temperatures. However, grown pristine samples of this material tend to break up into landscapes of twist-angle domains, strongly influencing the physical properties of each individual sample. This poses a significant problem to the interpretation and comparison between measurements obtained from different samples. In this work, we study numerically the effects of twist-angle disorder on quantum electron transport in mesoscopic samples of magic-angle twisted bilayer graphene. We find a significant property of twist-angle disorder that distinguishes it from onsite-energy disorder: it leads to an asymmetric broadening of the energy-resolved conductance. The magnitude of the twist-angle variation has a strong effect on conductance, while the number of twist-angle domains is of much lesser significance. We further establish a relationship between the asymmetric broadening and the asymmetric density of states of twisted bilayer graphene at angles smaller than the first magic angle. Our results show that the qualitative differences between the types of disorder in the energy-resolved conductance of twisted bilayer graphene samples can be used to characterize them at temperatures above the critical temperatures of the correlated phases, enabling systematic experimental studies of the effects of the different types of disorders also on the other properties such as the competition of the different types of correlated states appearing at lower temperatures.

The provided repository contains all data and scripts to reproduce the figures of the manuscript. 

Notes

The research was partially supported by the Foundation for Polish Science through the IRA Programme co-financed by EU within SG OP.  This research was partially supported by the “MagTop” project (FENG.02.01-IP.05-0028/23) carried out within the “International Research Agendas” programme of the Foundation for Polish Science co-financed by the European Union under the European Funds for Smart Economy 2021-2027 (FENG). T.~H.~acknowledges the computational resources provided by the Aalto Science-IT project and the financial support from the Academy of Finland Project No.~331094. A.~L.~acknowledges support from a Marie Sk{\l}odowska-Curie Individual Fellowship under grant MagTopCSL (ID 101029345). J.~T.~received funding from the National Science Centre, Poland, within the QuantERA II Programme that has received funding from the European Union’s Horizon 2020 research and innovation programme under Grant Agreement No 101017733, Project Registration Number: 2021/03/Y/ST3/00191, acronym TOBITS. We acknowledge the access to the computing facilities of the Interdisciplinary Center of Modeling at the University of Warsaw, Grant No. G90-1376.

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Additional details

Funding

European Commission
MagTopCSL - Magnetism, Berry-curvature engineering and topology in chalcogenide superlattices and heterostructures 101029345
Research Council of Finland
Designer topological matter 331094
European Commission
QuantERA II - QuantERA II ERA-NET Cofund in Quantum Technologies 101017733

Software

Programming language
Python