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Long, stable and free-standing linear atomic carbon wires have been carved out from graphene recently [Meyer et al: Nature (London) 2008, 454, 319; Jin et al: Phys: Rev: Lett: 2009, 102, 205501]. They can be considered as the extremely…

Atomic and Molecular Clusters · Physics 2010-10-28 L. Shen , M. G. Zeng , S. W. Yang , C. Zhang , X. F. Wang , Y. P. Feng

In Westminster Abbey, in a nave near to Newton's monument, lies a memorial stone to Paul Dirac. The inscription on the stone includes the relativistic wave equation for an electron: the Dirac equation. At the turn of the 21st century, it…

Mesoscale and Nanoscale Physics · Physics 2023-12-22 C. A. Downing , M. E. Portnoi

Transport properties through wide and short ballistic graphene junctions are studied in the presence of arbitrary dopings and magnetic fields. No dependence on the magnetic field is observed at the Dirac point for any current cumulant, just…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Elsa Prada , Pablo San-Jose , Bernhard Wunsch , Francisco Guinea

A graphene nano-ribbon with armchair edges is known to have no edge state. However, if the nano-ribbon is in the quantum spin Hall (QSH) state, then there must be helical edge states. By folding a graphene ribbon to a ring and threading it…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Bor-Luen Huang , Ming-Che Chang , Chung-Yu Mou

We characterize the transport properties of functionalized graphene nanoribbons using extensive first-principles calculations based on density functional theory (DFT) that encompass both monovalent and divalent ligands, hydrogenated defects…

Materials Science · Physics 2009-09-08 Giovanni Cantele , Young-Su Lee , Domenico Ninno , Nicola Marzari

The success of all-graphene electronics is severely hindered by the challenging realization and subsequent integration of semiconducting channels and metallic contacts. Here, we comprehensively investigate the electronic transport across…

Mesoscale and Nanoscale Physics · Physics 2020-11-24 Kristiāns Čerņevičs , Oleg V. Yazyev , Michele Pizzochero

Graphene has emerged as a paradigmatic material in condensed matter physics due to its exceptional electronic, mechanical, and thermal properties. A deep understanding of its thermoelectric transport behavior is crucial for the development…

Mesoscale and Nanoscale Physics · Physics 2026-05-20 Juan A. Cañas , Daniel A. Bonilla , A. Martín-Ruiz

The role of defect-induced zero-energy modes on charge transport in graphene is investigated using Kubo and Landauer transport calculations. By tuning the density of random distributions of monovacancies either equally populating the two…

Mesoscale and Nanoscale Physics · Physics 2013-05-13 Alessandro Cresti , Frank Ortmann , Thibaud Louvet , Dinh Van Tuan , Stephan Roche

We report the experimental observation of conductance quantization in graphene nanoribbons, where 1D transport subbands are formed due to the lateral quantum confinement. We show that this quantization in graphene nanoribbons can be…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 Yu-Ming Lin , Vasili Perebeinos , Zhihong Chen , Phaedon Avouris

Transport properties of narrow two-dimensional conducting wires in which the electron scattering is caused by side edges' roughness have been studied. The method for calculating dynamic characteristics of such conductors is proposed which…

Mesoscale and Nanoscale Physics · Physics 2013-02-01 N. M. Makarov , Yu. V. Tarasov

We solve the 2D Dirac equation describing graphene in the presence of a linear vector potential. The discretization of the transverse momentum due to the infinite mass boundary condition reduced our 2D Dirac equation to an effective massive…

Mesoscale and Nanoscale Physics · Physics 2016-05-06 Hocine Bahlouli , El Bouazzaoui Choubabi , Abderrahim El Mouhafid , Ahmed Jellal

The X-ray edge problem of graphene with the Dirac fermion spectrum is studied. At half-filling the linear density of states suppresses the singular response of the Fermi liquid, while away from half-filling the singular features of the…

Strongly Correlated Electrons · Physics 2009-11-13 S. -R. Eric Yang , Hyun C. Lee

We present systematic thermal conductivity measurements of suspended thin graphite ribbons, 234-527 nm thick, using a four-probe 3-omega method. Unlike recent reports of phonon hydrodynamics and exceptionally high thermal conductivity in…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Wonjae Jeon , Yu Pei , Xun Li , Lucas Lindsay , Sangyeop Lee , Renkun Chen

We study the electron transport through a graphene nanoribbon-superconductor junction. Both zigzag and armchair edge graphene nanoribbons are considered, and the effects of the magnetic field and disorder on the transport property are…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Qing-feng Sun , X. C. Xie

Charge transport at the Dirac point in bilayer graphene exhibits two dramatically different transport states, insulating and metallic, that occur in apparently otherwise indistinguishable experimental samples. We demonstrate that the…

Materials Science · Physics 2017-09-01 Sam Shallcross , Sangeeta Sharma , Heiko B. Weber

We study charge transport in a graphene zigzag nanoribbon driven by an external time-periodic kicking potential. Using the exact solution of the time-dependent Dirac equation with a delta-kick potential acting in each period, we study the…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 D. Babajanov , D. U. Matrasulov , R. Egger

The graphene is a native two-dimensional crystal material consisting of a single sheet of carbon atoms. In this unique one-atom-thick material, the electron transport is ballistic and is described by a quantum relativistic-like Dirac…

Quantum Physics · Physics 2007-05-23 Daniela Dragoman , Mircea Dragoman

Massless Dirac fermions in graphene provide unprecedented opportunities to realize the Klein paradox, which is one of the most exotic and striking properties of relativistic particles. In the seminal theoretical work [Katsnelson et al.,…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Ke-Ke Bai , Jia-Bin Qiao , Hua Jiang , Haiwen Liu , Lin He

Despite extensive existing studies, a complete understanding of the role of disorder in affecting the physical properties of two-dimensional Dirac fermionic systems remains a standing challenge, largely due to obstacles encountered in…

Mesoscale and Nanoscale Physics · Physics 2023-08-04 Bo Fu , Yanru Chen , Weiwei Chen , Wei Zhu , Ping Cui , Qunxiang Li , Zhenyu Zhang , Qinwei Shi

We propose a unified description of transport in graphene with adsorbates that fully takes into account localization effects and loss of electronic coherence due to inelastic processes. We focus in particular on the role of the scattering…

Mesoscale and Nanoscale Physics · Physics 2013-11-28 Guy Trambly De Laissardière , Didier Mayou
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