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Disorder masks much of the rich physics in two-dimensional electronic systems, with charged impurities often the limiting factor. In graphene, progress in reducing disorder has largely stagnated since boron nitride encapsulation was…

One-atom thick crystalline layers and their vertical heterostructures carry the promise of designer electronic materials that are unattainable by standard growth techniques. In order to realize their potential it is necessary to isolate…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 Chih-Pin Lu , Martin Rodriguez-Vega , Guohong Li , Adina Luican-Mayer , K. Watanabe , T. Taniguchi , Enrico Rossi , Eva Y. Andrei

The electrostatic confinement of massless charge carriers is hampered by Klein tunneling. Circumventing this problem in graphene mainly relies on carving out nanostructures or applying electric displacement fields to open a band gap in…

We analyze the effect of screening provided by the additional graphene layer in double layer graphene heterostructures (DLGs) on transport characteristics of DLG devices in the metallic regime. The effect of gate-tunable charge density in…

Mesoscale and Nanoscale Physics · Physics 2012-11-16 K. Kechedzhi , E. H. Hwang , S. Das Sarma

The electronic quality of two-dimensional systems is crucial when exploring quantum transport phenomena. In semiconductor heterostructures, decades of optimization have yielded record-quality two-dimensional gases with transport and quantum…

When electrons are confined in a two dimensional (2D) system, typical quantum mechanical phenomena such as Landau quantization can be detected. Graphene systems, including the single atomic layer and few-layer stacked crystals, are ideal 2D…

Mesoscale and Nanoscale Physics · Physics 2017-03-14 Long-jing Yin , Ke-ke Bai , Wen-xiao Wang , Si-Yu Li , Yu Zhang , Lin He

Devices made from two dimensional materials such as graphene and transition metal dichalcogenides exhibit remarkable electronic properties of interest to many subdisciplines of nanoscience. Owing to their 2D nature, their quality is highly…

Mesoscale and Nanoscale Physics · Physics 2019-11-12 Michael A. Altvater , Shuang Wu , Zhenyuan Zhang , Tianhui Zhu , Guohong Li , Kenji Watanabe , Takashi Taniguchi , Eva Y. Andrei

In the presence of strong magnetic fields the electronic bandstructure of graphene drastically changes. The Dirac cone collapses into discrete non-equidistant Landau levels, which can be externally tuned by changing the magnetic field. In…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 Samuel Brem , Florian Wendler , Ermin Malic

A unique attribute of atomically thin quantum materials is the in-situ tunability of their electronic band structure by externally controllable parameters like electrostatic doping, electric field, strain, electron interactions, and…

High quality epitaxial graphene films can be applied as templates for tailoring graphene-substrate interfaces that allow for precise control of the charge carrier behavior in graphene through doping and many-body effects. By combining…

The carrier density distributions in few-layer-graphene systems grown on the carbon face of silicon carbide can be altered by the presence of a scanning tunneling microscope (STM) tip used to probe top-layer electronic properties, and by a…

Mesoscale and Nanoscale Physics · Physics 2011-04-20 Hongki Min , S. Adam , Young Jae Song , Joseph A. Stroscio , M. D. Stiles , A. H. MacDonald

Devices made from two-dimensional (2D) materials such as graphene or transition metal dichalcogenides possess interesting electronic properties that can become accessible to experimental probes when the samples are protected from…

Mesoscale and Nanoscale Physics · Physics 2019-07-16 Michael A. Altvater , Tianhui Zhu , Guohong Li , Kenji Watanabe , Takashi Taniguchi , Eva Y. Andrei

We probe the local inhomogeneities in the electronic properties of exfoliated graphene due to the presence of charged impurities in the SiO2 substrate using a combined scanning tunneling and electrostatic force microscope. Contact potential…

Mesoscale and Nanoscale Physics · Physics 2012-02-21 Andres Castellanos-Gomez , Roel H. M. Smit , Nicolás Agraït , Gabino Rubio-Bollinger

When electrons populate a flat band their kinetic energy becomes negligible, forcing them to organize in exotic many-body states to minimize their Coulomb energy. The zeroth Landau level of graphene under magnetic field is a particularly…

We address the problem of a Coulomb impurity in graphene in the presence of a perpendicular uniform magnetic field. We show that the problem can be solved below the supercritical impurity magnitude within the WKB approximation. Without…

Strongly Correlated Electrons · Physics 2012-04-24 Yuhui Zhang , Yafis Barlas , Kun Yang

Graphene is a unique two-dimensional material with rich new physics and great promise for applications in electronic devices. Physical phenomena such as the half-integer quantum Hall effect and high carrier mobility are critically dependent…

Graphene is a fascinating material for exploring fundamental science questions as well as a potential building block for novel electronic applications. In order to realize the full potential of this material the fabrication techniques of…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Xu Du , Ivan Skachko , Eva Y. Andrei

It is known that $n$-degenerate Landau levels with the same spin-valley quantum number can be realized by $n$-layer graphene with rhombohedral stacking under magnetic field $B$. We find that the wave functions of degenerate Landau levels…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Abigail Timmel , Xiao-Gang Wen

The screening problem for the Coulomb potential of a charge located in a two-dimensional (2D) system has an intriguing solution with a power law distance screening factor due to out-of-plane electrical fields. This is crucially different…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 K. A. Baryshnikov , A. V. Gert , Yu. B. Vasilyev , A. P. Dmitriev

The spatial arrangement of adsorbates deposited onto a clean surface in vacuum typically cannot be reversibly tuned. Here we use scanning tunneling microscopy to demonstrate that molecules deposited onto graphene field-effect transistors…

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