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The few-layer graphene quantum dot provides a promising platform for quantum computing with both spin and valley degrees of freedom. Gate-defined quantum dots in particular can avoid noise from edge disorders. In connection with the recent…

Mesoscale and Nanoscale Physics · Physics 2017-05-11 Haonan Xiong , Wentao Jiang , Yipu Song , Luming Duan

The non-interacting energy spectrum of graphene and its bilayer counterpart consists of multiple degeneracies owing to the inherent spin, valley and layer symmetries. Interactions among charge carriers are expected to spontaneously break…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 R. Thomas Weitz , Monica T. Allen , Benjamin E. Feldman , Jens Martin , Amir Yacoby

The quantum behavior of electrons in bilayer graphene with applied magnetic fields is addressed. By using second-order supersymmetric quantum mechanics the problem is transformed into two intertwined one dimensional stationary Schr\"odinger…

Mathematical Physics · Physics 2020-10-28 David J Fernández C , Juan D García M , Daniel O-Campa

Laterally localized electronic states are identified on a single layer of graphene on ruthenium. The individual states are separated by 3 nm and comprise regions of about 90 carbon atoms. This constitutes a quantum dot array, evidenced by…

Materials Science · Physics 2010-07-08 H. G. Zhang , H. Hu , Y. Pan , J. H. Mao , M. Gao , H. M. Guo , S. X. Du , T. Greber , H. -J. Gao

We theoretically analyze the possibility to confine electrons in single-layer graphene with the help of metallic gates, via the evaluation of the density of states of such a gate-defined quantum dot in the presence of a ring-shaped metallic…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Martin Schneider , Piet W. Brouwer

We report tunneling spectroscopy experiments on a bilayer graphene double quantum dot device that can be tuned by all-graphene lateral gates. The diameter of the two quantum dots are around 50 nm and the constrictions acting as tunneling…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Christian Volk , Stefan Fringes , Bernat Terrés , Jan Dauber , Stephan Engels , Stefan Trellenkamp , Christoph Stampfer

Twistronic has recently attracted tremendous attention because the twisting can engineer the bilayer graphene-like materials into varying types of strongly correlated phases. In this paper, we study the twisting of bilayer graphene (BLG)…

Mesoscale and Nanoscale Physics · Physics 2022-08-25 Ma Luo

By applying the infinite-mass boundary condition, we analytically calculate the confined states and the corresponding wave functions of AA-stacked bilayer graphene quantum {dots} in the presence of an uniform magnetic field $B$. It is found…

Mesoscale and Nanoscale Physics · Physics 2016-02-29 Abdelhadi Belouad , Youness Zahidi , Ahmed Jellal

The flat bands in bilayer graphene(BLG) are sensitive to electric fields E\bot directed between the layers, and magnify the electron-electron interaction effects, thus making BLG an attractive platform for new two-dimensional (2D) electron…

Mesoscale and Nanoscale Physics · Physics 2012-03-23 J. Velasco , L. Jing , W. Bao , Y. Lee , P. Kratz , V. Aji , M. Bockrath , C. N. Lau , C. Varma , R. Stillwell , D. Smirnov , Fan Zhang , J. Jung , A. H. MacDonald

Single-layer and Bilayer of graphene are new classes of two-dimensional electron systems with unconventional band structures and valley degrees of freedom. The ground states and excitations in the integer and fractional quantum Hall regimes…

Strongly Correlated Electrons · Physics 2015-05-13 Naokazu Shibata , Kentaro Nomura

Bilayer graphene samples may exhibit regions where the two layers are locally delaminated forming a so-called quantum blister in the graphene sheet. Electron and hole states can be confined in this graphene quantum blisters (GQB) by…

Mesoscale and Nanoscale Physics · Physics 2018-08-15 Hasan M. Abdullah , H. Bahlouli , F. M. Peeters , B. Van Duppen

Strong interaction between electrons in two-dimensional systems in the presence of a high magnetic field gives rise to fractional quantum Hall states that host quasiparticles with fractional charge and fractional exchange statistics. Here,…

We set up and parametrize a Hubbard model for interacting quantum dots in bilayer graphene and study double dots as the smallest multi-dot system. We demonstrate the tunability of the spin and valley multiplets, Hubbard parameters, and…

Mesoscale and Nanoscale Physics · Physics 2024-09-02 Angelika Knothe , Guido Burkard

Quantum confined devices that manipulate single electrons in graphene are emerging as attractive candidates for nanoelectronics applications. Previous experiments have employed etched graphene nanostructures, but edge and substrate disorder…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Monica T. Allen , Jens Martin , Amir Yacoby

Electronic properties of quantum dots (QDs) depend sensitively on their parent materials. Therefore, confined electronic states in graphene QDs (GQDs) of monolayer and Bernal-stacked bilayer graphene are quite different. Twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Xiao-Feng Zhou , Yi-Wen Liu , Hong-Yi Yan , Zhong-Qiu Fu , Haiwen Liu , Lin He

We present measurements of quantized conductance in electrostatically induced quantum point contacts in bilayer graphene. The application of a perpendicular magnetic field leads to an intricate pattern of lifted and restored degeneracies…

Electronic localization is numerically studied in disordered bilayer graphene with an electric-field induced energy gap. Bilayer graphene is a zero-gap semiconductor, in which an energy gap can be opened and controlled by an external…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Mikito Koshino

Quantum states in graphene are four-fold degenerate: two fold in spins, and two fold in valleys.Both degrees of freedom can be utilized for qubit preparations. In our bilayer graphene quantumdots, we demonstrate that the valley g-factorgv,…

We suggest a way of confining quasiparticles by an external potential in a small region of a graphene strip. Transversal electron motion plays a crucial role in this confinement. Properties of thus obtained graphene quantum dots are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov , K. B. Efetov

The rise of graphene opens a new door to qubit implementation, as discussed in the recent proposal of valley pair qubits in double quantum dots of gapped graphene (Wu et al., arXiv: 1104.0443 [cond-mat.mes-hall]). The work here presents the…

Mesoscale and Nanoscale Physics · Physics 2011-07-05 G. Y. Wu , N. -Y. Lue , L. Chang