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Despite the enormous interest in the properties of graphene and the potential of graphene nanostructures in electronic applications, the study of quantum confined states in atomically well-defined graphene nanostructures remains an…

We consider a square lattice configuration of circular gate-defined quantum dots in an unbiased graphene sheet and calculate the electronic, particularly spectral properties of finite albeit actual sample sized systems by means of a…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 A. Pieper , R. L. Heinisch , G. Wellein , H. Fehske

We suggest a way of confining quasiparticles by an external potential in a small region of a graphene strip. Transversal electron motion plays a crucial role in this confinement. Properties of thus obtained graphene quantum dots are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov , K. B. Efetov

It is known that the appearance of Klein tunneling in graphene makes it hard to keep or localize electrons in a graphene-based quantum dot (GQD). However, a magnetic field can be used to temporarily confine an electron that is traveling…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Mohammed El Azar , Ahmed Bouhlal , Abdulaziz D. Alhaidari , Ahmed Jellal

The quantum confinement effect on the spectrum of near-field thermal radiation by periodic and random arrays of quantum dots (QDs) is investigated. The local density of states (LDOS) thermally emitted by QD arrays made of three lead…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 Saman Zare , Sheila Edalatpour

We suggest a simple approach to calculate the local density of states that effectively applies to any structure created by an axially symmetric potential on a continuous graphene sheet such as circular graphene quantum dots or rings.…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 H. Chau Nguyen , Nhung T. T. Nguyen , V. Lien Nguyen

Due to effect of Klein tunneling two-dimensional graphene quantum dots do not possess genuine bound states but quasi-bound (resonant tunneling) states only. We discuss in detail the attempt to describe these states within the framework of…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 H. V. Grushevskaya , G. G. Krylov

We study the electronic and magnetic properties of multilayer quantum dots (MQDs) of graphite in the nearest-neighbor approximation of tight-binding model. We calculate the electronic density of states and orbital susceptibility of the…

Mesoscale and Nanoscale Physics · Physics 2015-01-19 Hazem Abdelsalam , Tania Espinosa-Ortega , Igor Lukyanchuk

We theoretically analyze the possibility to confine electrons in single-layer graphene with the help of metallic gates, via the evaluation of the density of states of such a gate-defined quantum dot in the presence of a ring-shaped metallic…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Martin Schneider , Piet W. Brouwer

We determine the effect of quasiparticle interference on the spatial variations of the local density of states (LDOS) in graphite in the neighborhood of an isolated impurity. A number of characteristic behaviors of interference are…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Cristina Bena , Steven A. Kivelson

Using low-temperature high-magnetic-field scanning tunneling microscopy and spectroscopy (STM/STS), we systematically study a graphene quantum dot (GQD) defined by a circular graphene p-p junction. Inside the GQD, we observe a series of…

Mesoscale and Nanoscale Physics · Physics 2019-08-20 Ya-Ning Ren , Jiao-Jiao Zhou , Zhong-Qiu Fu , Hai-Xuan Cheng , Si-Yu Li , Zi-Han Guo , Yi-Wen Liu , Chao Yan , Qi-Qi Guo , Jia-Bin Qiao , Yu Zhang , Sheng Han , Hua Jiang , Lin He

We present a theory of momentum space local density-of-states (LDOS) maps N(q,omega) in graphene. The LDOS map has both intravalley contributions centered near zero momentum and reciprocal lattice vectors and intervalley contributions…

Other Condensed Matter · Physics 2013-05-29 T. Pereg-Barnea , A. H. MacDonald

We present exact analytical calculations of scanning tunneling currents in locally disordered graphene using a multimode description of the microscope tip. Analytical expressions for the local density of states (LDOS) are given for energies…

Mesoscale and Nanoscale Physics · Physics 2009-10-06 N. M. R. Peres , Ling Yang , Shan-Wen Tsai

Electronic localization in narrow graphene constrictions is theoretically studied, and it is found that long-lived quasibound states (QBSs) can exist in a class of ultrashort graphene quantum point contacts (QPCs). These QBSs are shown to…

Mesoscale and Nanoscale Physics · Physics 2014-12-05 Hai-Yao Deng , Katsunori Wakabayashi , Chi-Hang Lam

Graphene quantum dots (GQDs) not only have potential applications on spin qubit,but also serve as essential platforms to study the fundamental properties of Dirac fermions, such as Klein tunneling and Berry phase. By now, the study of…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 Si-Yu Li , Lin He

Coulomb interaction is of central importance in localized energy levels (bound states) or electronic flat bands and could result in many exotic quantum phases, such as magnetic, superconducting, and topological phases in graphene…

Mesoscale and Nanoscale Physics · Physics 2020-08-25 Zhong-Qiu Fu , Ke-Ke Bai , Ya-Ning Ren , Jiao-Jiao Zhou , Lin He

We study electron scattering in graphene quantum dots (GQDs) under the combined influence of a magnetic field, an energy gap, and circularly polarized laser irradiation. Using the Floquet approach and the Dirac equation, we derive the…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Ahmed Bouhlal , Mohammed El Azar , Aotmane En Naciri , Elmustapha Feddi , Ahmed Jellal

Due to the advantage of tunability via size, shape, doping and relatively low level of loss and high extent of spatial confinement, graphene quantum dots (GQDs) are emerging as an effective way to control light by molecular engineering. The…

Materials Science · Physics 2015-02-13 Sharma S. R. K. C Yamijala , Madhuri Mukhopadhyay , Swapan K. Pati

Considerable efforts have been made to trap massless Dirac fermions in graphene monolayer, but only quasi-bound states are realized in continuous graphene sheets up to now. Here, we demonstrate the realization of bound states in nanoscale…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Jia-Bin Qiao , Hua Jiang , Haiwen Liu , Hong Yang , Ning Yang , Kai-Yao Qiao , Lin He

We study electronic states of semi-infinite graphene with a corner edge, focusing on the stability of edge localized states at zero energy. The 60{\deg}, 90{\deg}, 120{\deg} and 150{\deg} corner edges are examined. The 60{\deg} and…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Yuji Shimomura , Yositake Takane , Katsunori Wakabayashi
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