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We consider quantum rings realized in materials where the dynamics of charge carriers mimics that of two-dimensional (2D) Dirac electrons. A general theoretical description of the ring-subband structure is developed that applies to a range…

Mesoscale and Nanoscale Physics · Physics 2018-05-17 L. Gioia , U. Zülicke , M. Governale , R. Winkler

Ever since the novel quantum Hall effect in bilayer graphene was discovered, and explained by a Berry phase of 2pi [K. S. Novoselov et al., "Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene", Nature Phys. 2,…

Mesoscale and Nanoscale Physics · Physics 2011-11-21 Cheol-Hwan Park , Nicola Marzari

The line shape of the double-resonant $2D$ Raman mode in bilayer graphene is often considered to be characteristic for a certain laser excitation energy. Here, in a joint experimental and theoretical study, we analyze the dependence of the…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Felix Herziger , Christoph Tyborski , Oliver Ochedowski , Marika Schleberger , Janina Maultzsch

We explore the rotational degree of freedom between graphene layers via the simple prototype of the graphene twist bilayer, i.e., two layers rotated by some angle $\theta$. It is shown that, due to the weak interaction between graphene…

Materials Science · Physics 2015-03-13 S. Shallcross , S. Sharma , E. Kandelaki , O. A. Pankratov

Quasi-particle interference (QPI) measurements have provided a powerful tool for determining the momentum dependence of the gap of unconventional superconductors. Here we examine the possibility of using such measurements to probe the…

Superconductivity · Physics 2014-03-25 Thomas Dahm , Douglas J. Scalapino

We investigate theoretically the interplay between the effects of a perpendicular electric field and incommensurability at the interface on the electronic properties of a heterostructure of bilayer graphene and a semiconducting substrate…

Mesoscale and Nanoscale Physics · Physics 2016-11-02 D. J. Leech , M. Mucha-Kruczyński

We derive electronic tight-binding Hamiltonians for strained graphene, hexagonal boron nitride and transition metal dichalcogenides based on Wannier transformation of {\it ab initio} density functional theory calculations. Our microscopic…

Mesoscale and Nanoscale Physics · Physics 2018-08-14 Shiang Fang , Stephen Carr , Miguel A. Cazalilla , Efthimios Kaxiras

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

We show that the strong coupling of pseudospin orientation and charge carrier motion in bilayer graphene has a drastic effect on transport properties of ballistic p-n-p junctions. Electronic states with zero momentum parallel to the barrier…

Mesoscale and Nanoscale Physics · Physics 2011-11-29 Nan Gu , Mark Rudner , Leonid Levitov

Pauli blockade is a fundamental quantum phenomenon that also serves as a powerful tool for qubit manipulation and read-out. While most systems exhibit a simple even-odd pattern of double-dot Pauli spin blockade due to the preferred singlet…

Mesoscale and Nanoscale Physics · Physics 2024-04-11 Chuyao Tong , Annika Kurzmann , Rebekka Garreis , Kenji Watanabe , Takashi Taniguchi , Thomas Ihn , Klaus Ensslin

The unusual electronic properties of single-layer graphene make it a promising material system for fundamental advances in physics, and an attractive platform for new device technologies. Graphene's spin transport properties are expected to…

Mesoscale and Nanoscale Physics · Physics 2009-10-23 Mark B. Lundeberg , Joshua A. Folk

The magnetoelectronic properties of quasi-one-dimensional zigzag graphene nanoribbons are investigated by using the Peierls tight-binding model. Quasi-Landau levels (QLLs), dispersionless Landau subbands within a certain region of k-space,…

Mesoscale and Nanoscale Physics · Physics 2014-05-19 Hsien-Ching Chung , Po-Hua Yang , To-Sing Li , Ming-Fa Lin

We study the atomic structure of twisted bilayer graphene, with very small mismatch angles ($\theta \sim 0.28^0$), a topic of intense recent interest. We use simulations, in which we combine a recently presented semi-empirical potential for…

Materials Science · Physics 2016-11-15 Sandeep K. Jain , Vladimir Juricic , Gerard T. Barkema

We present a numerical study of three-layer graphene heterostructures in which the layers are twisted by the magic angle ($\sim$1.1$^\circ$) or by $\sim$$30^\circ$ to form a graphene quasicrystal. The heterostacks are described using…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Pedro Alcázar Guerrero , Viet-Hung Nguyen , Aron W. Cummings , Jean-Christophe Charlier , Stephan Roche

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

We investigate the effect of different edge types on the statistical properties of both the energy spectrum of closed graphene billiards and the conductance of open graphene cavities in the semiclassical limit. To this end, we use the…

Mesoscale and Nanoscale Physics · Physics 2011-11-15 J. Wurm , K. Richter , I. Adagideli

Carbon based systems are prominent candidates for a solid-state spin-qubit due to weak spin-orbit and hyperfine interactions in combination with a low natural abundance of spin carrying isotopes. We consider the effect of the hyperfine…

Mesoscale and Nanoscale Physics · Physics 2012-08-03 Moritz Fuchs , Valentin Rychkov , Björn Trauzettel

We investigate bilayers of nanoporous graphene (NPG), laterally bonded carbon nanoribbons, and graphene. The electronic and transport properties are explored as a function of the interlayer twist angle using an atomistic tight-binding model…

Mesoscale and Nanoscale Physics · Physics 2024-08-12 Xabier Diaz de Cerio , Aleksander Bach Lorentzen , Mads Brandbyge , Aran Garcia-Lekue

Artificial molecular states of double quantum dots defined in bilayer graphene are studied with the atomistic tight-binding and its low-energy continuum approximation. We indicate that the extended electron wave functions have opposite…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 D. P. Żebrowski , F. M. Peeters , B. Szafran

We present a computational study of the phonon linewidths in twisted bilayer graphene arising from electron-phonon interactions and anharmonic effects. The electronic structure is calculated using distance-dependent transfer integrals based…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Shinjan Mandal , Indrajit Maity , H. R. Krishnamurthy , Manish Jain