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The emergence of controlled, two-dimensional moir\'e materials has uncovered a new platform for investigating topological physics. Twisted double bilayer graphene (TDBG) has been predicted to host a topologically non-trivial gapped phase…

We explore a network of electronic quantum valley Hall (QVH) states in the moir\'e crystal of minimally twisted bilayer graphene. In our transport measurements we observe Fabry-P\'erot and Aharanov-Bohm oscillations which are robust in…

Theory predicts that the application of an electric field breaks the inversion symmetry of AB and BA stacked domains in twisted bilayer graphene, resulting in the formation of a triangular network of one-dimensional valley-protected helical…

Mesoscale and Nanoscale Physics · Physics 2021-09-10 J. D. Verbakel , Q. Yao , K. Sotthewes , H. J. W. Zandvliet

An established way of realizing topologically protected states in a two-dimensional electron gas is by applying a perpendicular magnetic field thus creating quantum Hall edge channels. In electrostatically gapped bilayer graphene…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Fabian R. Geisenhof , Felix Winterer , Anna M. Seiler , Jakob Lenz , Ivar Martin , R. Thomas Weitz

We investigate the electronic density redistribution of rotated bilayer graphene under a perpendicular electric field, showing that the layers are actually coupled even for large angles. This layer-layer coupling is evidenced by the charge…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 E. Suárez Morell , P. Vargas , L. Chico , L. Brey

We study the edge states of twisted bilayer graphene and their topological origin. We show that the twisted bilayer graphene has special edge states associated with the moir\'{e} pattern, and the emergence of these moir\'{e} edge states is…

Mesoscale and Nanoscale Physics · Physics 2021-04-21 Manato Fujimoto , Mikito Koshino

A twisted graphene bilayer exhibits a triangular Moir\'e pattern in the local stacking, that smoothly alternates between the three basic types AA', AB' and BA'. Under an interlayer bias U, the latter two types develop a spectral gap,…

Mesoscale and Nanoscale Physics · Physics 2013-09-26 Pablo San-Jose , Elsa Prada

Twisted bilayer graphene exhibits isolated, relatively flat electronic bands near charge neutrality when the interlayer rotation is tuned to specific magic angles. These small misalignments, typically below 1.1{\deg}, result in long-period…

Mesoscale and Nanoscale Physics · Physics 2026-03-26 Antonio Palamara , Michele Pisarra , Antonello Sindona

Valley pseudospin, the quantum degree of freedom characterizing the degenerate valleys in energy bands, is a distinct feature of two-dimensional Dirac materials. Similar to spin, the valley pseudospin is spanned by a time reversal pair of…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Mengqiao Sui , Guorui Chen , Liguo Ma , Wenyu Shan , Dai Tian , Kenji Watanabe , Takashi Taniguchi , Xiaofeng Jin , Wang Yao , Di Xiao , Yuanbo Zhang

In gated bilayer graphene, topological zero-line modes (ZLMs) appear along lines separating regions with opposite valley Hall topologies. Although it is experimentally difficult to design the electric gates to realize ZLMs due to the…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Sanyi You , Tao Hou , Zhenhua Qiao

The layer-resolved quantum transport response of a twisted bilayer graphene device is investigated by driving a current through the bottom layer and measuring the induced voltage in the top layer. Devices with four- and eight-layer…

Mesoscale and Nanoscale Physics · Physics 2025-06-18 Matheus H. Gobbo Kuhn , L. A. Silva , D. A. Bahamon

We investigate the electronic and transport properties of gated bilayer graphene with one corrugated layer, which results in a stacking AB/BA boundary. When a gate voltage is applied to one layer, topologically protected gap states appear…

Materials Science · Physics 2015-09-30 M. Pelc , W. Jaskólski , A. Ayuela , L. Chico

In the presence of a finite interlayer displacement field bilayer graphene has an energy gap that is dependent on stacking and largest for the stable AB and BA stacking arrangements. When the relative orientations between layers are twisted…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Dmitry K. Efimkin , Allan H. MacDonald

We employ dual-gated 30{\deg}-twisted bilayer graphene to demonstrate simultaneous ultra-high mobility and conductivity (up to 40 mS at room temperature), unattainable in a single-layer of graphene. We find quantitative agreement with a…

Mesoscale and Nanoscale Physics · Physics 2022-01-12 Giulia Piccinini , Vaidotas Mišeikis , Kenji Watanabe , Takashi Taniguchi , Camilla Coletti , Sergio Pezzini

Staking layered materials revealed to be a very powerful method to tailor their electronic properties. It has indeed been theoretically and experimentally shown that twisted bilayers of graphene (tBLG) with a rotation angle $\theta$,…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Omid Faizy Namarvar , Ahmed Missaoui , Laurence Magaud , Didier Mayou , Guy Trambly de Laissardière

The domain walls between AB- and BA-stacked gapped bilayer graphene have garnered intense interest as they host topologically-protected, valley-polarised transport channels. The introduction of a twist angle between the bilayers and the…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Nina C. Georgoulea , Nuala M. Caffrey , Stephen R. Power

We study a 2D continuum model of electronic transport in twisted bilayer graphene (TBG) at commensurate angles. We use two honeycomb potentials with the symmetries of graphene, either sharing a common origin (AA stacking) or shifted by a…

Mathematical Physics · Physics 2026-05-19 Tal Malinovitch

We present a comprehensive theoretical study of the topological surface states (TSS) of Bi$_2$Se$_3$, a 3D topological insulator, epitaxially grown on twisted bilayer graphene (tBG). The moir\'e potential induced by tBG folds the TSS Dirac…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Yoonkang Kim

We investigate bilayers of nanoporous graphene (NPG), laterally bonded carbon nanoribbons, and graphene. The electronic and transport properties are explored as a function of the interlayer twist angle using an atomistic tight-binding model…

Mesoscale and Nanoscale Physics · Physics 2024-08-12 Xabier Diaz de Cerio , Aleksander Bach Lorentzen , Mads Brandbyge , Aran Garcia-Lekue

The development of valleytronics demands long-range electronic transport with preserved valley index, a degree of freedom similar to electron spin. A promising structure for this end is a topological one-dimensional (1D) channel formed in…

Mesoscale and Nanoscale Physics · Physics 2019-01-25 E. Mania , A. R. Cadore , T. Taniguchi , K. Watanabe , L. C. Campos
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