scholarly journals Time-evolution patterns of electrons in twisted bilayer graphene

2019 ◽  
Vol 99 (16) ◽  
Author(s):  
V. Nam Do ◽  
H. Anh Le ◽  
D. Bercioux
Keyword(s):  
Time Evolution ◽  
Bilayer Graphene ◽  
Twisted Bilayer Graphene

scholarly journals Real-Space Approach for the Electronic Calculation of Twisted Bilayer Graphene Using the Orthogonal Polynomial Technique

2019 ◽  
Vol 29 (4) ◽  
pp. 455 ◽  
Author(s):  
Hoang Anh Le ◽  
Van Thuong Nguyen ◽  
Van Duy Nguyen ◽  
Van-Nam Do ◽  
Si Ta Ho
Keyword(s):  
Time Evolution ◽  
Scaling Law ◽  
Bilayer Graphene ◽  
Real Space ◽  
Computational Method ◽  
Time Evolution Operator ◽  
Lattice Space ◽  
Auto Correlation Function ◽  
Technical Issues ◽  
Twisted Bilayer Graphene

We discuss technical issues involving the implementation of a computational method for the electronic structure of material systems of arbitrary atomic arrangement. The method is based on the analysis of time evolution of electron states in the real lattice space. The Chebyshev polynomials of the first kind are used to approximate the time evolution operator.  We demonstrate that the developed method is powerful and efficient since the computational scaling law is linear. We invoked the method to study the electronic properties of special twisted bilayer graphene whose atomic structure is quasi-crystalline. We show the density of states of an electron in this graphene system as well as the variation of the associated time auto-correlation function. We find the fluctuation of electron density on the lattice nodes forming a typical pattern closely related to the typical atomic pattern of the quasi-crystalline bilayer graphene configuration.

scholarly journals Correlation-Induced Insulating Topological Phases at Charge Neutrality in Twisted Bilayer Graphene

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Yuan Da Liao ◽  
Jian Kang ◽  
Clara N. Breiø ◽  
Xiao Yan Xu ◽  
Han-Qing Wu ◽  
...  
Keyword(s):  
Bilayer Graphene ◽  
Topological Phases ◽  
Charge Neutrality ◽  
Twisted Bilayer Graphene

scholarly journals Strange metal behavior of the Hall angle in twisted bilayer graphene

2021 ◽  
Vol 103 (24) ◽  
Author(s):  
Rui Lyu ◽  
Zachary Tuchfeld ◽  
Nishchhal Verma ◽  
Haidong Tian ◽  
Kenji Watanabe ◽  
...  
Keyword(s):  
Bilayer Graphene ◽  
Hall Angle ◽  
Twisted Bilayer Graphene

scholarly journals Correlated insulators in twisted bilayer graphene

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Ipsita Mandal ◽  
Jia Yao ◽  
Erich J. Mueller
Keyword(s):  
Bilayer Graphene ◽  
Twisted Bilayer Graphene

scholarly journals Disorder in twisted bilayer graphene

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
Justin H. Wilson ◽  
Yixing Fu ◽  
S. Das Sarma ◽  
J. H. Pixley
Keyword(s):  
Bilayer Graphene ◽  
Twisted Bilayer Graphene

scholarly journals Unfolding energy spectra of double-periodicity two-dimensional systems: Twisted bilayer graphene and MoS2 on graphene

2018 ◽  
Vol 2 (1) ◽  
Author(s):  
Yu-ichiro Matsushita ◽  
Hirofumi Nishi ◽  
Jun-ichi Iwata ◽  
Taichi Kosugi ◽  
Atsushi Oshiyama
Keyword(s):  
Bilayer Graphene ◽  
Energy Spectra ◽  
Two Dimensional ◽  
Twisted Bilayer Graphene
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