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Atom manipulation by scanning tunneling microscopy was used to construct quantum dots on the InAs(111)A surface. Each dot comprised six ionized indium adatoms. The positively charged adatoms create a confining potential acting on…

Mesoscale and Nanoscale Physics · Physics 2025-03-26 Van Dong Pham , Yi Pan , Steven C. Erwin , Felix von Oppen , Kiyoshi Kanisawa , Stefan Fölsch

The electronic states of an electrostatically confined cylindrical graphene quantum dot and the electric transport through this device are studied theoretically within the continuum Dirac-equation approximation and compared with numerical…

Mesoscale and Nanoscale Physics · Physics 2011-08-12 G. Pal , W. Apel , L. Schweitzer

We study topological bound states in quantum dots defined by an electric field in bilayer graphene. An external field is perpendicular to the bilayer and changes sign in a finite region that defines the quantum dot. The electric field opens…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 Wlodzimierz Jaskolski

The boundary modes of one dimensional quantum systems can play host to a variety of remarkable phenomena. They can be used to describe the physics of impurities in higher dimensional systems, such as the ubiquitous Kondo effect or can…

Strongly Correlated Electrons · Physics 2020-02-24 Colin Rylands

Stimulated by recent advances in isolating graphene, we discovered that quantum dot can be trapped in Z-shaped graphene nanoribbon junciton. The topological structure of the junction can confine electronic states completely. By varying…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Z. F. Wang , Huaixiu Zheng , Q. W. Shi , Jie Chen , Qunxiang Li , J. G. Hou

Quantum wires and electromagnetic waveguides possess common features since their physics is described by the same wave equation. We exploit this analogy to investigate experimentally with microwave waveguides and theoretically with the help…

Mesoscale and Nanoscale Physics · Physics 2013-04-11 S. Bittner , B. Dietz , M. Miski-Oglu , A. Richter , C. Ripp , E. Sadurni , W. P. Schleich

We report the formation of bound states in the continuum driven by AC fields. This system consists of a quantum ring connected to two leads. An AC side-gate voltage controls the interference pattern of the electrons passing through the…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 C. González-Santander , P. A. Orellana , F. Domínguez-Adame

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 numerically investigate quantum rings in graphene and find that their electronic properties may be strongly influenced by the geometry, the edge symmetries and the structure of the corners. Energy spectra are calculated for different…

Mesoscale and Nanoscale Physics · Physics 2009-03-16 D. A. Bahamon , A. L. C. Pereira , P. A. Schulz

We establish several properties of the integrated density of states for random quantum graphs: Under appropriate ergodicity and amenability assumptions, the integrated density of states can be defined using an exhaustion procedure by…

Spectral Theory · Mathematics 2015-05-13 Daniel Lenz , Norbert Peyerimhoff , Olaf Post , Ivan Veselic'

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

Dirac fermions interacting with a cylindrically symmetric quantum dot potential created in single and bilayer graphene are not confined but form quasi-bound states. The broadening of these quasi-bound states (i. e. the inverse of their…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Matulis , F. M. Peeters

Electromagnetic bound states in the radiation continuum are studied for periodic double arrays of subwavelength dielectric cylinders in TM polarization. They are similar to localized waveguide mode solutions of Maxwell's equations for metal…

Mathematical Physics · Physics 2010-10-05 Friends R. Ndangali , Sergei V. Shabanov

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 analyze a class of bound defect states in the continuum electronic spectrum of bilayer materials, which emerge independent of symmetry protection or additional degrees of freedom. Taking graphene as a prototypical example, our…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Daniel Massatt , Stephen P. Shipman , Ilya Vekhter , Justin H. Wilson

Based on the tight-binding model calculations and photonic experimental visualization on graphene, we report the domain-wall-induced gapped topological kink states and topological corner states. In graphene, domain walls with gapless…

Mesoscale and Nanoscale Physics · Physics 2020-05-26 Yuting Yang , Ziyuan Jia , Yijia Wu , Zhi-Hong Hang , Hua Jiang , X. C. Xie

An electrostatic quantum dot cannot be formed in monolayer graphene, because of the Klein tunnelling. However, a dot can be formed with the help of a uniform magnetic field. As shown here, a spatial modulation of the Dirac gap leads to…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 G. Giavaras , Franco Nori

At the lower edge of the energy continuum the birth of an isolated quantum bound state is studied as caused by an infinitesimally small change of the interaction. In our model a single, asymptotically free massive quantum particle is…

Quantum Physics · Physics 2017-08-01 Miloslav Znojil

We analyze the bound-state spectra of mass-profile quantum dots in graphene, a system at current experimental reach. Homogeneous perpendicular magnetic fields are also considered which result in breaking the valley degeneracy. The spectra…

Mesoscale and Nanoscale Physics · Physics 2015-04-24 A. Gutiérrez-Rubio , T. Stauber

We have carried out first-principles calculations on electronic properties of graphene quantum dots embedded in hexagonal boron nitride monolayer sheets. The calculations with density functional theory show that the band gaps of quantum…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Junwen Li , Vivek B. Shenoy