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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

Recent results on magnetoresistance in a two dimensional electron gas under crossed magnetic and microwave fields show a new class of oscillations, suggesting a new kind of zero-resistance states. A complete understanding of the effect is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. H. Rivera , P. A. Schulz

We predict the existence of spatial-spectral vortex solitons in one-dimensional periodic waveguide arrays with quadratic nonlinear response. In such vortices the energy flow forms a closed loop through the simultaneous effects of phase…

Optics · Physics 2015-05-13 Zhiyong Xu , Andrey A. Sukhorukov

In this paper a comparative study of the electronic and magnetic properties of quasi-two-dimensional electrons in an artificial graphene-like superlattice composed of circular and elliptical quantum dots is presented. A complete orthonormal…

Mesoscale and Nanoscale Physics · Physics 2023-10-09 Maryam Mansoury , Vram Mughnetsyan , Aram Manaselyan , Albert Kirakosyan , Vidar Gudmundsson , Vigen Aziz-Aghchegala

An interacting quantum dot inserted in a mesoscopic ring is investigated. A variational ansatz is employed to describe the ground state of the system in the presence of the Aharonov-Bohm flux. It is shown that, for even number of electrons…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kicheon Kang , Sung-Chul Shin

The effect of strong magnetic fields parallel to GaAs/AlGaAs interface on the subband structure of a 2D electron layer is ivestigated theoretically. The system with two levels occupied in zero magnetic field is considered and the magnetic…

Condensed Matter · Physics 2009-10-22 T. Jungwirth , L. Smrcka

The existence of macroscopic shell structure of submicron metal clusters is known for several decades. Since the most studies provide theoretical analysis for clusters of spherical shape, the electron density inhomogeneities caused by shell…

Atomic and Molecular Clusters · Physics 2025-01-16 S. E. Kuratov , I. S. Galtsov , S. A. Dyachkov , S. Yu. Igashov

We present a thorough analysis of the electron density distribution (shape) of two electrons, confined in the three-dimensional harmonic oscillator potential, as a function of the perpendicular magnetic field.Explicit algebraic expressions…

Mesoscale and Nanoscale Physics · Physics 2018-03-20 N. S. Simonovic , R. G. Nazmitdinov

Static metasurfaces have shown to be prominent compact structures for reciprocal and frequency-invariant transformation of electromagnetic waves in space. However, incorporating temporal variation to static metasurfaces would result in…

Applied Physics · Physics 2020-11-18 Sajjad Taravati , George V. Eleftheriades

We describe the effects of geometric torsion on the coherent motion of electrons along a thin twisted quantum ring. The geometric torsion inherent in the quantum ring triggers a quantum phase shift in the electrons' eigenstates, thereby…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Hisao Taira , Hiroyuki Shima

Energies and wave functions of edge states in twodimensional electron gas are evaluated for a finite step potential barrier model. The spectrum, instead of smooth bending of Landau branches in the vicinity of the barrier acquires a steplike…

Condensed Matter · Physics 2015-06-25 I. Bartos , B. Rosenstein

We investigate how the geometrical symmetry affects the penetration and arrangement of vortices in mesoscopic superconductors using self-consistent Bogoliubov-de Gennes equations. We find that the entrance of the vortex happens when the…

Superconductivity · Physics 2015-05-19 Xing-Hua Hu , An-Chun Ji , Xiang-Gang Qiu , Wu-Ming Liu

We consider an electron constrained to move on a surface with revolution symmetry in the presence of a constant magnetic field $B$ parallel to the surface axis. Depending on $B$ and the surface geometry the transverse part of the spectrum…

Mathematical Physics · Physics 2015-06-26 Pavel Exner , Alain Joye

For two states of opposite parity that cross as a function of an external magnetic field, the addition of an electric field will break the symmetry and induce an avoided crossing. A suitable arrangement of fields may be used to create a…

Quantum Gases · Physics 2013-05-29 Alisdair O. G. Wallis , S. A. Gardiner , Jeremy M. Hutson

Periodic structures are a type of metamaterial in which the physical properties depend not only on the details of the unit cell but also on how unit cells are arranged and interact with each other. In conventional engineering structures,…

Applied Physics · Physics 2022-05-27 Sudesh Pathak , Gagan Dangi , Farhad Farzbod

Two fundamental extensions to the function of previously described fully field effect two-dimensional (2D) electron heterostructures are presented: First, using the same basic heterostructure design of lithographically defined contacts…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. L. Willett , M. J. Manfra , L. N. Pfeiffer , K. W. West

Using the tight-binding approach, we investigate the energy spectrum of square, triangular and hexagonal MoS$_2$ quantum dots (QDs) in the presence of a perpendicular magnetic field. Novel edge states emerge in MoS$_2$ QDs, which are…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Q. Chen , L. L. Li , F. M. Peeters

Spin-Hall effect in ballistic 2D electron gas with Rashba-type spin-orbit coupling and smooth edge confinement is studied. We predict that the interplay of semiclassical electron motion and quantum dynamics of spins leads to several…

Mesoscale and Nanoscale Physics · Physics 2009-05-15 P. G. Silvestrov , V. A. Zyuzin , E. G. Mishchenko

The persistent currents driven by the pure Aharonov-Bohm type magnetic field in mesoscopic normal metal or semiconducting cylinders are studied. A two-dimensional (2D) Fermi surfaces are characterized by four parameters. Several conditions…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Stebelski , M. Szopa , E. Zipper

Conventional superconductors have vortices carrying integer multiples of magnetic flux quantum while unconventional ones, with p- or d-wave order parameter, allow half-integer fluxes. Here we show that mesoscopic size effects stabilize…

Superconductivity · Physics 2011-07-18 L. F. Chibotaru , V. H. Dao