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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

Bilayer graphene nanoribbon with zigzag edge is investigated with the tight binding model. Two stacking structures, alpha and beta, are considered. The band splitting is seen in the alpha structure, while the splitting in the wave number…

Mesoscale and Nanoscale Physics · Physics 2012-03-13 Kikuo Harigaya , Hiroshi Imamura

Armchair graphene nanoribbons are a highly promising class of semiconductors for all-carbon nanocircuitry. Here, we present a new perspective on their electronic structure from simple model Hamiltonians and $\textit{ab initio}$…

Mesoscale and Nanoscale Physics · Physics 2023-01-24 Nikita V. Tepliakov , Johannes Lischner , Efthimios Kaxiras , Arash A. Mostofi , Michele Pizzochero

We combine density-functional theory and the nonequilibrium Green's function method to study the thermal conductance of graphene nanoribbons with armchair and zigzag edges. Zigzag ribbons have higher thermal conductance than armchair…

Mesoscale and Nanoscale Physics · Physics 2011-08-05 Zhen Wah Tan , Jian-Sheng Wang , Chee Kwan Gan

The thermoelectric properties of in plane heterostructures made of Graphene and hexagonal Boron Nitride (BN) have been investigated by means of atomistic simulation. The heterostructures consist in armchair graphene nanoribbons to the sides…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 Van-Truong Tran , Jérôme Saint Martin , Philippe Dollfus

We present an analytical description of pi electrons of a finite size bilayer graphene within a framework of the tight-binding model. The bilayered structures considered here are characterized by a rectangular geometry and have a finite…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 J. Ruseckas , G. Juzeliunas , I. V. Zozoulenko

We report the electronic properties of two-dimensional systems made of graphene nanoribbons which are patterned with ad-atoms in two separated regions. Due to the extra electronic confinement induced by the presence of the impurities, we…

Mesoscale and Nanoscale Physics · Physics 2015-09-25 J. W. González , L. Rosales , M. Pacheco , A. Ayuela

We study the electronic structure of gated graphene sheets. We consider both infinite graphene and finite width ribbons. The effect of Coulomb interactions between the electrically injected carriers and the coupling to the external gate are…

Mesoscale and Nanoscale Physics · Physics 2007-08-29 J. Fernandez-Rossier , J. J. Palacios , L. Brey

Armchair biphenylene nanoribbons are investigated by using density functional theory. The nanoribbon that contains one biphenylene subunit in a unit cell is a semiconductor with a direct band gap larger than 1 eV, while that containing four…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Hongyu Ge , Guo Wang , Yi Liao

We study the electronic structure of finite armchair graphene nanoribbons using density-functional theory and the Hubbard model, concentrating on the states localized at the zigzag termini. We show that the energy gaps between end-localized…

Mesoscale and Nanoscale Physics · Physics 2013-08-23 M. Ijäs , M. Ervasti , A. Uppstu , P. Liljeroth , J. van der Lit , I. Swart , A. Harju

Herein, we investigate the structural, electronic and mechanical properties of zigzag graphene nanoribbons upon the presence of stress applying Density Functional Theory within the GGA-PBE approximation. The uniaxial stress is applied along…

Materials Science · Physics 2015-05-13 Ricardo Faccio , Pablo A. Denis , Helena Pardo , Cecilia Goyenola , Alvaro W. Mombru

Explicit expressions of the band spectrum near the neutrality point for armchair and zigzag graphene ribbons and carbon nanotubes were derived based on a tight-binding macromolecule model of graphene. The obtained dispersion relations are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Lyuba Malysheva , Alexander Onipko

We present the symmetry labelling of all electron bands in graphene obtained by combining numerical band calculations and analytical analysis based on group theory. The latter was performed both in the framework of the (nearly) free…

Mesoscale and Nanoscale Physics · Physics 2021-03-19 Eugene Kogan , Vyacheslav M. Silkin

Vibrational properties of graphene nanoribbons are examined with density functional based tight-binding method and non-resonant bond polarization theory. We show that the recently discovered reconstructed zigzag edge can be identified from…

Materials Science · Physics 2009-11-13 S. Malola , H. Häkkinen , P. Koskinen

The conductivity of armchair graphene nanoribbons in the presence of short-range impurities and edge roughness is studied theoretically using the Boltzmann transport equation for quasi-one-dimensional systems. As the number of occupied…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Hengyi Xu , Thomas Heinzel

Many are the ways of engineering the band gap of nanoribbons including application of stress, electric field and functionalization of the edges. In this article, we investigate separately the effects of these methods on armchair graphene…

Mesoscale and Nanoscale Physics · Physics 2024-03-14 Elisa Serrano Richaud , Sylvain Latil , Hakim Amara , Lorenzo Sponza

We present a systematic derivation of a minimal five-band tight-binding model for the description of the electronic structure of the recently discovered quasi one-dimensional superconductor K2Cr3As3. Taking as a reference the…

One- and two-dimensional bilayer systems are examples of ultra-tunable quantum materials that are considered as the basis for the new generation of electronic and photonic devices. Here we develop a general theory of the electron band…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 D. V. Chalin , D. I. Levshov , A. E. Myasnikova , S. B. Rochal

Recent advances in graphene nanoribbon-based research have demonstrated the controlled synthesis of chiral graphene nanoribbons (cGNR) with atomic precision using strategies of on-surface chemistry. However their electronic…

We provide a theoretical study of the conductance response of systems based on graphene nanoribbon to the potential of a scanning probe. The study is based on the Landauer approach for the tight-binding Hamiltonian with an implementation of…

Mesoscale and Nanoscale Physics · Physics 2015-07-02 Alina Mreńca , Krzysztof Kolasiński , Bartłomiej Szafran