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The magnetic field dependence of energy levels in gapped single- and bilayer graphene quantum dots (QDs) defined by electrostatic gates is studied analytically in terms of the Dirac equation. Due to the absence of sharp edges in these types…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Patrik Recher , Johan Nilsson , Guido Burkard , Bjoern Trauzettel

This is a review on graphene quantum dots and their use as a host for spin qubits. We discuss the advantages but also the challenges to use graphene quantum dots for spin qubits as compared to the more standard materials like GaAs. We start…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Patrik Recher , Bjoern Trauzettel

Electrostatically defined quantum dots (QDs) in Bernal stacked bilayer graphene (BLG) are a promising quantum information platform because of their long spin decoherence times, high sample quality, and tunability. Importantly, the shape of…

We report on magneto-transport studies of dual-gated, Bernal-stacked trilayer graphene (TLG) encapsulated in boron nitride crystals. We observe a quantum Hall effect staircase which indicates a complete lifting of the twelve-fold degeneracy…

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

At the center of quantum computing1 realization is the physical implementation of qubits - two-state quantum information units. The rise of graphene2 has opened a new door to the implementation. Because graphene electrons simulate…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 G. Y. Wu , N. -Y. Lue , L. Chang

We present low temperature transport measurements on dual-gated suspended trilayer graphene in the quantum Hall (QH) regime. We observe QH plateaus at filling factors {\nu}=-8, -2, 2, 6, and 10, in agreement with the full-parameter tight…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Yongjin Lee , Jairo Velasco , David Tran , Fan Zhang , Wenzhong Bao , Lei Jing , Kevin Myhro , Dmitry Smirnov , Chun Ning Lau

We report on ground- and excited state transport through an electrostatically defined few-hole quantum dot in bilayer graphene in both parallel and perpendicular applied magnetic fields. A remarkably clear level scheme for the two-particle…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 A. Kurzmann , M. Eich , H. Overweg , M. Mangold , F. Herman , P. Rickhaus , R. Pisoni , Y. Lee , R. Garreis , C. Tong , K. Watanabe , T. Taniguchi , K. Ensslin , T. Ihn

Realistic relaxed configurations of triaxially strained graphene quantum dots are obtained from unbiased atomistic mechanical simulations. The local electronic structure and quantum transport characteristics of y-junctions based on such…

Mesoscale and Nanoscale Physics · Physics 2013-06-20 Zenan Qi , D. A. Bahamon , Vitor M. Pereira , Harold S. Park , D. K. Campbell , A. H. Castro Neto

In a multi-layer electronic system, stacking order provides a rarely-explored degree of freedom for tuning its electronic properties. Here we demonstrate the dramatically different transport properties in trilayer graphene (TLG) with…

Mesoscale and Nanoscale Physics · Physics 2012-01-23 W. Bao , L. Jing , Y. Lee , J. Velasco , P. Kratz , D. Tran , B. Standley , M. Aykol , S. B. Cronin , D. Smirnov , M. Koshino , E. McCann , M. Bockrath , C. N. Lau

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

Using a tight-binding model along with the mean-field Hubbard method, we investigate the effect of twisting angle on the magnetic properties of twisted bilayer graphene (tBLG) quantum dots (QDs) with triangular shape and zigzag edges. We…

Mesoscale and Nanoscale Physics · Physics 2023-04-14 M. Mirzakhani , H. C. Park , F. M. Peeters , D. R. da Costa

Trapping electrons in quantum dots and controlling their collective quantum states is crucial for converting semiconductor structures into bits of quantum information processing. Here, we study single- and two-particle states in quantum…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Angelika Knothe , Vladimir Fal'ko

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

Quantum Hall edge states are the paradigmatic example of the bulk-boundary correspondence. They are prone to intricate reconstructions calling for their detailed investigation at high spatial resolution. Here, we map quantum Hall edge…

Mesoscale and Nanoscale Physics · Physics 2023-04-07 T. Johnsen , C. Schattauer , S. Samaddar , A. Weston , M. Hamer , K. Watanabe , T. Taniguchi , R. Gorbachev , F. Libisch , M. Morgenstern

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…

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 study quantum dots defined by external potentials within finite flakes of bilayer graphene using the tight-binding approach. We find that in the limit of large flakes containing zigzag edges the dot-localized energy levels appear within…

Mesoscale and Nanoscale Physics · Physics 2013-10-21 D. P. Żebrowski , E. Wach , B. Szafran

Graphene quantum dots (GQDs) not only have potential applications on spin qubit,but also serve as essential platforms to study the fundamental properties of Dirac fermions, such as Klein tunneling and Berry phase. By now, the study of…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 Si-Yu Li , Lin He

The valley degree of freedom in 2D semiconductors, such as gapped bilayer graphene (BLG) and transition metal dichalcogenides, is a promising carrier of quantum information in the emerging field of valleytronics. While valley dynamics have…

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