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A twisted honeycomb bilayer exhibits a moir\'e superstructure that is composed of a hexagonal arrangement of AB and BA stacked domains separated by domain boundaries. In the case of twisted bilayer graphene, the application of an electric…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Harold J. W. Zandvliet , Pantelis Bampoulis , Cristiane Morais Smith , Lumen Eek

We investigate, within the envelope function approximation, the low-energy states of trions in graphene quantum dots. The presence of valley pseudospin in graphene as an electron degree of freedom apart from spin adds convolution to the…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 H. -C. Cheng , N. -Y. Lue , Y. -C. Chen , G. Y. Wu

Bilayer graphene is a maturing material platform for gate-defined quantum dots that hosts long-lived spin and valley states. Implementing solid-state qubits in bilayer graphene requires a fundamental understanding of such confined…

Electrons confined in silicon quantum dots exhibit orbital, spin, and valley degrees of freedom. The valley degree of freedom originates from the bulk bandstructure of silicon, which has six degenerate electronic minima. The degeneracy can…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 F. Borjans , X. Zhang , X. Mi , G. Cheng , N. Yao , C. A. C. Jackson , L. F. Edge , J. R. Petta

Van der Waals heterostructures provide a rich platform for emergent physics due to their tunable hybridization of electronic orbital- and spin-degrees of freedom. Here, we show that a heterostructure formed by twisted bilayer graphene…

Mesoscale and Nanoscale Physics · Physics 2021-02-10 Tobias M. R. Wolf , Oded Zilberberg , Gianni Blatter , Jose L. Lado

We study electronic, charge, and magnetic properties of twisted bilayer graphene with fillings $2\leq n\leq 6$ per moire unit cell within the recently introduced formulation of extended dynamical mean-field theory (E-DMFT) for…

Strongly Correlated Electrons · Physics 2022-09-30 A. A. Katanin

Electrostatically confined quantum dots in bilayer graphene have shown potential as building blocks for quantum technologies. To operate the dots, e.g., as qubits, a precise understanding and control of the confined states and their…

Mesoscale and Nanoscale Physics · Physics 2024-04-16 Dennis Mayer , Angelika Knothe

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

Bilayer graphene is a nanomaterial that allows for well-defined, separated quantum states to be defined by electrostatic gating and, therefore, provides an attractive platform to construct tunable quantum dots. When a magnetic field…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 Jozef Bucko , Frank Schäfer , František Herman , Rebekka Garreis , Chuyao Tong , Annika Kurzmann , Thomas Ihn , Eliska Greplova

Proximity orbital and spin-orbit effects of bilayer graphene on monolayer WSe$_2$ are investigated from first-principles. We find that the built-in electric field induces an orbital band gap of about 10 meV in bilayer graphene. Remarkably,…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Martin Gmitra , Jaroslav Fabian

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

We report a study of one-dimensional subband splitting in a bilayer graphene quantum point contact in which quantized conductance in steps of $4\,e^2/h$ is clearly defined down to the lowest subband. While our source-drain bias spectroscopy…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 R. Kraft , I. V. Krainov , V. Gall , A. P. Dmitriev , R. Krupke , I. V. Gornyi , R. Danneau

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

The intrinsic spin-orbit interactions in bilayer graphene and in graphite are studied, using a tight binding model, and an intraatomic LS coupling. The spin-orbit interactions in bilayer graphene and graphite are larger, by about one order…

Mesoscale and Nanoscale Physics · Physics 2010-11-12 F. Guinea

We investigate the details of the electronic structure in the neighborhoods of a carbon atom vacancy in graphene by employing magnetization-constrained density-functional theory on periodic slabs, and spin-exact, multi-reference,…

Materials Science · Physics 2013-11-27 M. Casartelli , S. Casolo , G. F. Tantardini , R. Martinazzo

Transport measurements through a few-electron circular quantum dot in bilayer graphene display bunching of the conductance resonances in groups of four, eight and twelve. This is in accordance with the spin and valley degeneracies in…

We report on transport measurements of dual-gated, single-layer graphene devices in the quantum Hall regime, allowing for independent control of the filling factors in adjoining regions. Progress in device quality allows us to study…

Mesoscale and Nanoscale Physics · Physics 2014-05-15 F. Amet , J. R. Wiliams , K. Watanabe , T. Taniguchi , D. Goldhaber-Gordon

Ground state of two-electron quantum dots in single-valley materials like GaAs is always a spin singlet regardless of what the potential and interactions are. This statement cannot be generalized to the multi-valley materials like $n$-doped…

Strongly Correlated Electrons · Physics 2019-11-27 D. Miserev , O. P. Sushkov

Spin splitting of the energy spectrum of single-layer graphene on Au/Ni(111) substrate has been recently reported. I show that eigenstates of spin-orbit coupled graphene are polarized in-plane and perpendicular to electron momentum $\bf k$;…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Emmanuel I. Rashba

The fourfold spin-valley degenerate degrees of freedom in bulk graphene can support rich physics and novel applications associated with multicomponent quantum Hall effects and linear conductance filtering. In this work, we study how to…

Mesoscale and Nanoscale Physics · Physics 2016-11-30 Yu Song , Lei Xie , Zhi-Gui Shi , Shun Li , Jian Zhang
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