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Rickhaus, Peter ; Liu, Ming-Hao ; Kurpas, Marcin ; Kurzmann, Annika ; Lee, Yongjin ; Overweg, Hiske ; Eich, Marius ; Pisoni, Riccardo ; Taniguchi, Takashi ; Wantanabe, Kenji ; Richter, Klaus ; Ensslin, Klaus ; Ihn, Thomas

The electronic thickness of graphene

Rickhaus, Peter , Liu, Ming-Hao , Kurpas, Marcin, Kurzmann, Annika, Lee, Yongjin, Overweg, Hiske, Eich, Marius, Pisoni, Riccardo, Taniguchi, Takashi, Wantanabe, Kenji, Richter, Klaus, Ensslin, Klaus and Ihn, Thomas (2020) The electronic thickness of graphene. Science Advances 6 (11), eaay8409.

Date of publication of this fulltext: 15 Apr 2020 08:45
Article
DOI to cite this document: 10.5283/epub.43048

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Abstract

When two dimensional crystals are atomically close, their finite thickness becomes relevant. Using transport measurements, we investigate the electrostatics of two graphene layers, twisted by θ = 22° such that the layers are decoupled by the huge momentum mismatch between the K and K′ points of the two layers. We observe a splitting of the zero-density lines of the two layers with increasing ...

When two dimensional crystals are atomically close, their finite thickness becomes relevant. Using transport measurements, we investigate the electrostatics of two graphene layers, twisted by θ = 22° such that the layers are decoupled by the huge momentum mismatch between the K and K′ points of the two layers. We observe a splitting of the zero-density lines of the two layers with increasing interlayer energy difference. This splitting is given by the ratio of single-layer quantum capacitance over interlayer capacitance Cm and is therefore suited to extract Cm. We explain the large observed value of Cm by considering the finite dielectric thickness dg of each graphene layer and determine dg ≈ 2.6 Å. In a second experiment, we map out the entire density range with a Fabry-Pérot resonator. We can precisely measure the Fermi wavelength λ in each layer, showing that the layers are decoupled. Our findings are reproduced using tight-binding calculations.



Involved Institutions


Details

Item typeArticle
Journal or Publication TitleScience Advances
Publisher:American Association for the Advancement of Science
Volume:6
Number of Issue or Book Chapter:11
Page Range:eaay8409
Date13 March 2020
InstitutionsPhysics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Identification Number
ValueType
10.1126/sciadv.aay8409DOI
1907.00582arXiv ID
Dewey Decimal Classification500 Science > 530 Physics
StatusPublished
RefereedYes, this version has been refereed
Created at the University of RegensburgPartially
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-430485
Item ID43048

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