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We present numerical simulations of the capacitive coupling between graphene nanoribbons of various widths and gate electrodes in different configurations. We compare the influence of lateral metallic or graphene side gate structures on the…

Mesoscale and Nanoscale Physics · Physics 2014-03-11 R. Reiter , U. Derra , S. Birner , B. Terrés , F. Libisch , J. Burgdörfer , C. Stampfer

Graphene nanodisk is a graphene derivative with a closed edge. The trigonal zigzag nanodisk with size $N$ has $N$-fold degenerated zero-energy states. We investigate electron-electron interaction effects in the zero-energy sector. We…

Strongly Correlated Electrons · Physics 2008-04-10 Motohiko Ezawa

We study the confinement of Dirac fermions in armchair graphene nanoribbons by means of a quantum-dot-type electrostatic potential. With the use of specific projection operators, we find exact solutions for some bound states that satisfy…

Mesoscale and Nanoscale Physics · Physics 2022-04-13 Vit Jakubsky , Sengul Kuru , Javier Negro

We use time dependent perturbation theory to study quantum size effects on the terahertz nonlinear response of metallic graphene armchair nanoribbons of finite length under an applied electric field. Our work shows that quantization due to…

Mesoscale and Nanoscale Physics · Physics 2016-08-22 Yichao Wang , David R. Andersen

An electrostatic quantum dot cannot be formed in monolayer graphene, because of the Klein tunnelling. However, a dot can be formed with the help of a uniform magnetic field. As shown here, a spatial modulation of the Dirac gap leads to…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 G. Giavaras , Franco Nori

Realization of the quantum-spin-Hall effect in graphene devices has remained an outstanding challenge dating back to the inception of the field of topological insulators. Graphene's exceptionally weak spin-orbit coupling -stemming from…

Mesoscale and Nanoscale Physics · Physics 2019-04-05 K. Hatsuda , H. Mine , T. Nakamura , J. Li , R. Wu , S. Katsumoto , J. Haruyama

The Heisenberg exchange interaction between neighboring quantum dots allows precise voltage control over spin dynamics, due to the ability to precisely control the overlap of orbital wavefunctions by gate electrodes. This allows the study…

A graphene nanoribbon with zigzag edges has a gapped magnetic ground state with an antiferromagnetic inter-edge superexchange interaction. We present a theory based on asymptotic properties of the Dirac-model ribbon wavefunction which…

Mesoscale and Nanoscale Physics · Physics 2011-01-31 J. Jung , T. Pereg-Barnea , A. H. MacDonald

Graphene nanoribbons (GNRs) are a family of one-dimensional (1D) materials carved from graphene lattice. GNRs possess high mobility and current carrying capability, sizable bandgap, and versatile electronic properties tailored by the…

Mesoscale and Nanoscale Physics · Physics 2021-10-08 Haomin Wang , Hui Shan Wang , Chuanxu Ma , Lingxiu Chen , Chengxin Jiang , Chen Chen , Xiaoming Xie , An-Ping Li , Xinran Wang

This article provides a pedagogical review on Klein tunneling in graphene, i.e. the peculiar tunneling properties of two-dimensional massless Dirac electrons. We consider two simple situations in detail: a massless Dirac electron incident…

Mesoscale and Nanoscale Physics · Physics 2011-11-03 P. E. Allain , J. N. Fuchs

The electronic properties of a material depend on the spatial freedom of the electron wavefunction. A well-known example is graphite, which is a conventional gapless semiconductor, while a single layer of it, graphene, exhibits extremely…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Mohammadamir Bazrafshan , Thomas. D. Kühne

Starting from an engineered periodic optical structure formed by waveguide arrays comprised of two interleaved lattices, we simulate a deformed Dirac equation. We show that the system also simulate graphene nano ribbons under strain. This…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 M. R. Setare , P. Majari , C. Noh , Sh. Dehdashti

Quantum computation and simulation requires strong coherent coupling between qubits, which may be spatially separated. Achieving this coupling for solid-state based spin qubits is a long-standing challenge. Here we theoretically investigate…

Quantum Physics · Physics 2021-10-04 Yoav Romach , Tal Wasserman , Shai Tishby , Nir Bar-Gill

We present quantum transport measurements of interacting parallel quantum dots formed in the strands of a carbon nanotube rope. In this molecular quantum dot system, transport is dominated by one quantum dot, while additional resonances…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Karin Goß , Martin Leijnse , Sebastian Smerat , Maarten R. Wegewijs , Claus M. Schneider , Carola Meyer

We report on a double quantum dot which is formed in a width-modulated etched bilayer graphene nanoribbon. A number of lateral graphene gates enable us to tune the quantum dot energy levels and the tunneling barriers of the device over a…

Mesoscale and Nanoscale Physics · Physics 2013-03-20 Stefan Fringes , Christian Volk , Bernat Terrés , Jan Dauber , Stephan Engels , Stefan Trellenkamp , Christoph Stampfer

The transmission properties of armchair graphene nanoribbon junctions between graphene electrodes are investigated by means of first-principles quantum transport calculations. First the dependence of the transmission function on the size of…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 C. Motta , D. Sánchez-Portal , M. I. Trioni

Controlling the energy spectrum of quantum-coherent superconducting circuits, i.e. the energies of excited states, the circuit anharmonicity and the states' charge dispersion, is essential for designing performant qubits. This control is…

We present a theoretical study of Coulomb exchange interaction for electrons confined in a cylindrical quantum wire and subject to a Rashba-type spin-orbit coupling with radial electric field. The effect of spin splitting on the…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 F. S. Gray , T. Kernreiter , M. Governale , U. Zuelicke

Considerable efforts have been made to trap massless Dirac fermions in graphene monolayer, but only quasi-bound states are realized in continuous graphene sheets up to now. Here, we demonstrate the realization of bound states in nanoscale…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Jia-Bin Qiao , Hua Jiang , Haiwen Liu , Hong Yang , Ning Yang , Kai-Yao Qiao , Lin He

Strain engineering enables quantum confinement in pristine graphene without degrading its intrinsic mobility and spin coherence. Here, we extend previously proposed strain-induced charge-qubit architectures by incorporating spin degrees of…

Mesoscale and Nanoscale Physics · Physics 2025-12-17 Myung-Chul Jung , Nojoon Myoung