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Graphene antidot lattices have recently been proposed as a new breed of graphene-based superlattice structures. We study electronic properties of triangular antidot lattices, with emphasis on the occurrence of dispersionless (flat) bands…

Mesoscale and Nanoscale Physics · Physics 2009-07-16 Mihajlo Vanevic , Vladimir M. Stojanovic , Markus Kindermann

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

In this comprehensive study, we undertake a thorough theoretical examination of the electronic subband structures within cove-edged zigzag graphene nanoribbons (CZGNRs) using the tight-binding model. These unique nanostructures arise from…

Mesoscale and Nanoscale Physics · Physics 2023-10-26 David M T Kuo

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

A systematic review is made for the AA-, AB- and ABC-stacked graphites. The generalized tight-binding model, accompanied with the effective-mass approximation and the Kubo formula, is developed to investigate electronic and optical…

Mesoscale and Nanoscale Physics · Physics 2017-05-09 Chiun-Yan Lin , Rong-Bin Chen , Yen-Hung Ho , Ming-Fa Lin

The tight-binding model is closely associated with the modified random-phase approximation to thoroughly explore the electron-electron interactions in trilayer AB-stacked graphene. The intralayer and interlayer atomic/Coulomb interactions…

Mesoscale and Nanoscale Physics · Physics 2018-03-29 Chiun-Yan Lin , Ming-Chieh Lin , Jhao-Ying Wu , Ming-Fa Lin

This article reviews the basic theoretical aspects of graphene, a one atom thick allotrope of carbon, with unusual two-dimensional Dirac-like electronic excitations. The Dirac electrons can be controlled by application of external electric…

Other Condensed Matter · Physics 2009-01-15 A. H. Castro Neto , F. Guinea , N. M. R. Peres , K. S. Novoselov , A. K. Geim

Using first-principles density-functional theory, we study the electronic structure of multilayer graphene nanoribbons as a function of the ribbon width and the external electric field, applied perpendicular to the ribbon layers. We…

Materials Science · Physics 2015-05-19 Bhagawan Sahu , Hongki Min , Sanjay K. Banerjee

Solid-state materials have recently emerged as a new stage of strong-field physics and attosecond science. The mechanism of the electron dynamics driven by an ultrashort intense laser pulse is under intensive discussion. Here we…

Materials Science · Physics 2020-04-23 Kenichi L. Ishikawa , Yasushi Shinohara , Takeshi Sato , Tomohito Otobe

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

We theoretically investigate the spectrum of a single electron double quantum dot, defined by top gates in a graphene with a substrate induced gap. We examine the effects of electric and magnetic fields on the spectrum of localized states,…

Mesoscale and Nanoscale Physics · Physics 2014-02-20 Martin Raith , Christian Ertler , Peter Stano , Michael Wimmer , Jaroslav Fabian

We investigate the electronic structure and properties of atoms exposed to a magnetic quadrupole field. The spin-spatial as well as generalized time reversal symmetries are established and shown to lead to a two-fold degeneracy of the…

Atomic Physics · Physics 2007-05-23 Igor Lesanovsky , Joerg Schmiedmayer , Peter Schmelcher

Electronic properties of triangular and hexagonal nano-scale quantum dots (QDs) of Silicene and bilayer graphene are studied. It is shown that the low-energy edge-localized electronic states, existing within the size-quantized gap are…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Hazem Abdelsalam , T. Espinosa-Ortega , Igor Lukyanchuk

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

While preserving many of the unusual features of single-layer graphene, few-layer graphene (FLG) provides a richness and flexibility of electronic structure that render this set of materials of great interest for both fundamental studies…

Mesoscale and Nanoscale Physics · Physics 2009-08-04 Kin Fai Mak , Matthew Y. Sfeir , James A. Misewich , Tony F. Heinz

Quantum-dot states in graphene nanoribbons (GNR) were calculated using density-functional theory, considering the effect of the electric field of gate electrodes. The field is parallel to the GNR plane and was generated by an inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2012-09-25 Tobias Burnus , Gustav Bihlmayer , Daniel Wortmann , Yuriy Mokrousov , Stefan Blügel , Klaus Michael Indlekofer

The significant electron-electron interactions that characterize the {\pi}-electrons of graphene nanoribbons (GNRs) necessitate going beyond one-electron tight-binding description. Existing theories of electron-electron interactions in GNRs…

Strongly Correlated Electrons · Physics 2016-07-27 V. M. L. Durga Prasad Goli , Suryoday Prodhan , Sumit Mazumdar , S. Ramasesha

In the present work we have studied the structural and electronic properties of recently synthesized elusive free standing triangulene using density functional theory. Triangulene, which is a type of graphene quantum dot, is a molecule with…

Mesoscale and Nanoscale Physics · Physics 2017-12-11 Vaishali Sharma , Som Narayan , Shweta D Dabhi , Prafulla K Jha

A review work is done for electronic and optical properties of graphene nanoribbons in magnetic, electric, composite, and modulated fields. Effects due to the lateral confinement, curvature, stacking, non-uniform subsystems and hybrid…

Mesoscale and Nanoscale Physics · Physics 2016-03-10 Hsien-Ching Chung , Cheng-Peng Chang , Chiun-Yan Lin , Ming-Fa Lin

Moir\'e systems featuring flat electronic bands exhibit a vast landscape of emergent exotic quantum states, making them one of the resourceful platforms in condensed matter physics in recent times. Tuning these systems via twist angle and…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 Jin Jiang , Qixuan Gao , Zekang Zhou , Cheng Shen , Mario Di Luca , Emily Hajigeorgiou , Kenji Watanabe , Takashi Taniguchi , Mitali Banerjee