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The unique ultra-relativistic, massless, nature of electron states in two-dimensional extended graphene sheets, brought about by the honeycomb lattice arrangement of carbon atoms in two-dimensions, provides ingress to explorations of…

Mesoscale and Nanoscale Physics · Physics 2015-02-18 Constantine Yannouleas , Igor Romanovsky , Uzi Landman

Graphene nanostructures can be engineered with atomic precision to display customized electronic states with application in spintronics or quantum technologies. In order to take advantage of their full potential, their charge and spin state…

We review field theoretical studies dedicated to understanding the effects of electron-electron interaction in graphene, which is characterized by gapless bands, strong electron-electron interactions, and emerging Lorentz invariance deep in…

High Energy Physics - Theory · Physics 2023-05-30 A. V. Kotikov

We study theoretically electron interference in a Mach--Zehnder-like geometry formed by four zigzag graphene nanoribbons (ZGNRs) arranged in parallel pairs, one on top of the other, such that they form intersection angles of 60$^\circ$.…

Mesoscale and Nanoscale Physics · Physics 2023-07-04 Sofia Sanz , Nick Papior , Géza Giedke , Daniel Sánchez-Portal , Mads Brandbyge , Thomas Frederiksen

We study RKKY interactions for magnetic impurities on graphene in situations where the electronic spectrum is in the form of Landau levels. Two such situations are considered: non-uniformly strained graphene, and graphene in a real magnetic…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Jinlyu Cao , H. A. Fertig , Shixiong Zhang

We present a theoretical study of the bandstructure and Landau levels in bilayer graphene at low energies in the presence of a transverse magnetic field and Rashba spin-orbit interaction in the regime of negligible trigonal distortion.…

Mesoscale and Nanoscale Physics · Physics 2012-09-18 Francisco Mireles , John Schliemann

We investigate localization effects in zigzag graphene nanoribbons with quasiperiodic Fibonacci-type edge extensions, accounting for electron-electron interactions. We employ a tight-binding model that includes first- and…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 Diego B. Fonseca , Anderson L. R. Barbosa , Luiz Felipe C. Pereira

We theoretically investigate the spin-dependent transport for the system of an armchair-edge graphene nanoribbon (AGNR) between two ferromagnetic (FM) leads with arbitrary polarization directions at low temperatures, where a magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Benhu Zhou , Xiongwen Chen , Benliang Zhou , Kai-He Ding , Guanghui Zhou

Electronic, transport, and spin properties of grain boundaries (GBs) are investigated in electrostatically doped graphene at finite electron densities within the Hartree and Hubbard approximations. We demonstrate that depending on the…

Mesoscale and Nanoscale Physics · Physics 2013-09-03 S. Ihnatsenka , I. V. Zozoulenko

We investigate the impact of strained nanobubbles on the conductance characteristics of graphene nanoribbons using a combined molecular dynamics - tight-binding simulation scheme. We describe in detail how the conductance, density of…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 D. A. Bahamon , Zenan Qi , Harold S. Park , Vitor M. Pereira , David K. Campbell

Graphene's isolation launched explorations of fundamental relativistic physics originating from the planar honeycomb lattice arrangement of the carbon atoms, and of potential technological applications in nanoscale electronics. Bottom-up…

Mesoscale and Nanoscale Physics · Physics 2015-02-13 Constantine Yannouleas , Igor Romanovsky , Uzi Landman

Spin dependent transport in a three-terminal graphene nanoribbon (GNR) is investigated in presence of Rashba spin-orbit interaction. Such a three-terminal structure is shown to be highly effective in filtering electron spins from an…

Mesoscale and Nanoscale Physics · Physics 2018-09-20 Sudin Ganguly , Saurabh Basu , Santanu K. Maiti

The magnetic and spin transport properties of a carbon chain between two armchair graphene nanoribbon (AGNR) electrodes were studied using tight-binding Hamiltonian, mean-field Hubbard model and Landauer-Butikker formalism. The results…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 R. Farghadan , M. Yoosefi

First principles calculations are used to establish that the electronic structure of graphene ribbons with zig-zag edges is unstable with respect to magnetic polarisation of the edge states. The magnetic interaction between edge states is…

Materials Science · Physics 2015-06-25 L. Pisani , J. A. Chan , B. Montanari , N. M. Harrison

We present numerical studies of conduction in graphene nanoribbons with reconstructed edges based on the standard tight-binding model of the graphene and the extended Huckel model of the reconstructed defects. We performed atomic geometry…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 S. Ihnatsenka , G. Kirczenow

Electron-electron interactions are intrinsically long ranged, but many models of strongly interacting electrons only take short-ranged interactions into account. Here, we present results of atomistic calculations including both long-ranged…

Strongly Correlated Electrons · Physics 2021-05-19 Lennart Klebl , Zachary A. H. Goodwin , Arash A. Mostofi , Dante M. Kennes , Johannes Lischner

We investigate spin effects in transport across fully interacting, finite size graphene armchair nanoribbons (ACNs) contacted to collinearly spin-polarized leads. In such systems, the presence of short ranged Coulomb interaction between…

Mesoscale and Nanoscale Physics · Physics 2010-03-29 Sonja Koller , Leonhard Mayrhofer , Milena Grifoni

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 present a microscopic theory for interacting graphene armchair nanoribbon quantum dots. Long range interaction processes are responsible for Coulomb blockade and spin-charge separation. Short range ones, arising from the underlying…

Mesoscale and Nanoscale Physics · Physics 2010-03-23 Sonja Koller , Leonhard Mayrhofer , Milena Grifoni

Strain can tailor the band structures and properties of graphene nanoribbons (GNRs) with the well-known emergent pseudo-magnetic fields and the corresponding pseudo-Landau levels (pLLs). We design one type of the zigzag GNR (ZGNR) with…

Mesoscale and Nanoscale Physics · Physics 2023-04-19 Cheng-Yi Zuo , Junjie Qi , Tian-Lun Lu , Zhi-qiang Bao , Yan Li