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In this article we review the quantum Hall physics of graphene based two-dimensional electron systems, with a special focus on recent experimental and theoretical developments. We explain why graphene and bilayer graphene can be viewed…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Yafis Barlas , Kun Yang , A. H. MacDonald

We present a systematic study of the energy levels of twisted bilayer graphene (tBLG) quantum dots (QD) and rings (QR) under an external perpendicular magnetic field. The confinement structures are modeled by a circular dot-like- and…

Mesoscale and Nanoscale Physics · Physics 2024-10-17 N. S. Bandeira , Andrey Chaves , L. V. de Castro , R. N. Costa Filho , M. Mirzakhani , F. M. Peeters , D. R. da Costa

While single-layer graphene shows extraordinary phenomena which are stable against electronic interactions, the non-interacting state of bilayer graphene is unstable to infinitesimal interactions leading to one of many possible exotic…

Mesoscale and Nanoscale Physics · Physics 2013-02-07 Lijun Zhu , Vivek Aji , Chandra M. Varma

Electrical transport in double quantum dots (DQDs) illuminates many interesting features of the dots' carrier states. Recent advances in silicon quantum information technologies have renewed interest in the valley states of electrons…

Mesoscale and Nanoscale Physics · Physics 2017-11-15 Justin K. Perron , Michael J. Gullans , Jacob M. Taylor , M. D. Stewart, , Neil M. Zimmerman

Stacking order has strong influence on the coupling between the two layers of twisted bilayer graphene (BLG), which in turn determines its physical properties. Here, we report the investigation of the interlayer coupling of the epitaxially…

Mesoscale and Nanoscale Physics · Physics 2020-01-28 Bing Deng , Binbin Wang , Ning Li , Rongtan Li , Yani Wang , Jilin Tang , Qiang Fu , Zhen Tian , Peng Gao , Jiamin Xue , Hailin Peng

The quantum Hall (QH) effect, a topologically non-trivial quantum phase, expanded and brought into focus the concept of topological order in physics. The topologically protected quantum Hall edge states are of crucial importance to the QH…

We engineer a system of two strongly confined quantum dots to gain reproducible electrostatic control of the spin at zero magnetic field. Coupling the dots in a tight ring-shaped potential with two tunnel barriers, we demonstrate that an…

The name graph state is used to describe a certain class of pure quantum state which models a physical structure on which one can perform measurement-based quantum computing, and which has a natural graphical description. We present the…

Quantum Physics · Physics 2008-01-31 Constanza Riera , Stephane Jacob , Matthew G. Parker

The energy spectrum and wave functions of electrons in a single silicon quantum dot provide valuable insights into the capabilities and limitations of such a system in quantum information processing. Here we investigate the low-lying…

Mesoscale and Nanoscale Physics · Physics 2026-03-26 Bilal Tariq , Xuedong Hu

Equilibration of quantum Hall edges is studied in a high quality dual gated bilayer graphene device in both unipolar and bipolar regime when all the degeneracies of the zero energy Landau level are completely lifted. We find that in the…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Chandan Kumar , Saurabh Kumar Srivastav , Anindya Das

Two monolayers of graphene twisted by a small `magic' angle exhibit nearly flat bands leading to correlated electronic states and superconductivity, whose precise nature including possible broken symmetries, remain under debate. Here we…

Strongly Correlated Electrons · Physics 2019-12-13 Jong Yeon Lee , Eslam Khalaf , Shang Liu , Xiaomeng Liu , Zeyu Hao , Philip Kim , Ashvin Vishwanath

By employing the first-principles GW-Bethe-Salpeter Equation (BSE) simulation, we obtain, for the first time, the accurate quasiparticle (QP) band gap, optical absorption spectra and their dependence on the gate field of gated bilayer…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Yufeng Liang , Li Yang

Two dimensional moir\'e systems have recently emerged as a platform in which the interplay between topology and strong correlations of electrons play out in non-trivial ways. Among these systems, twisted double bilayer graphene (TDBG) is of…

Mesoscale and Nanoscale Physics · Physics 2023-10-03 Debasmita Giri , Dibya Kanti Mukherjee , H. A. Fertig , Arijit Kundu

Klein quantum dot (KQD) refers to a QD with quasi-bound states and a finite trapping time, which has been observed in experiments focused on graphene recently. In this paper, we develop a numerical method to calculate local density of…

Mesoscale and Nanoscale Physics · Physics 2018-05-10 Jiaojiao Zhou , Shu-guang Cheng , Hua Jiang

It is demonstrated that parallel weakly coupled quantum dots exhibit non-equilibrium blockade regimes caused by a full occupation in the spin triplet state, in analogy to the Pauli spin blockade in serially weakly coupled quantum dots.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Fransson

Graph states are special kinds of multipartite entangled states that correspond to mathematical graphs where the vertices take the role of quantum spin systems and the edges represent interactions. They not only provide an efficient model…

We present here results of atomistic theory of electrons confined by metallic gates in a single layer of transition metal dichalcogenides. The electronic states are described by the tight-binding model and computed using a computational box…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Maciej Bieniek , Ludmila Szulakowska , Pawel Hawrylak

Despite various novel broken symmetry states have been revealed in bilayer graphene (BLG) experimentally, the atomic-scale spectroscopic investigation has been greatly limited. Here, we study high-resolution spectroscopic characteristics of…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Long-Jing Yin , Li-Juan Shi , Li-Zhen Yang , Ling-Hui Tong , Lin He

Bilayer graphene has been predicted to give unprecedented tunability of the electron-electron interaction with the help of external parameters, allowing one to stabilize different fractional quantum Hall states. Recent experimental works…

Strongly Correlated Electrons · Physics 2015-05-15 Kyrylo Snizhko , Vadim Cheianov , Steven H. Simon

We study theoretically a double quantum dot hydrogen molecule in the GaAs conduction band as the basic elementary gate for a quantum computer with the electron spins in the dots serving as qubits. Such a two-dot system provides the…

Quantum Physics · Physics 2009-10-31 Xuedong Hu , S. Das Sarma