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We investigate theoretically polygonal quantum rings and focus mostly on the triangular geometry where the corner effects are maximal. Such rings can be seen as short core-shell nanowires, a generation of semiconductor heterostructures with…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Anna Sitek , Llorenç Serra , Vidar Gudmundsson , Andrei Manolescu

We compare energy spectra, electron localization and optical absorption of square and diamond quantum rings and analyze how sample geometry affects those features. We show that low energy levels of diamond rings form two groups delocalized…

Mesoscale and Nanoscale Physics · Physics 2015-09-07 Anna Sitek , Vidar Gudmundsson , Andrei Manolescu

We analyse theoretically the possibilities of contactless control of in-gap states formed by a pair of electrons confined in a triangular quantum ring. The in-gap states are corner-localized states associated with two electrons occupying…

Mesoscale and Nanoscale Physics · Physics 2017-04-21 Anna Sitek , Miguel Urbaneja Torres , Kristinn Torfason , Vidar Gudmundsson , Andrei Manolescu

Energy level structure and direct light absorption in a cylindrical quantum dot, having thin falciform cross section, are studied within the framework of the adiabatic approximation. An analytical expression for the energy spectrum of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-08 Karen G. Dvoyan , David B. Hayrapetyan , Eduard M. Kazaryan , Ani A. Tshantshapanyan

We discuss the low energy electronic states in hexagonal rings. These states correspond to the transverse modes in core-shell nanowires built of III-V semiconductors which typically have a hexagonal cross section. In the case of symmetric…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Anna Sitek , Miguel Urbaneja Torres , Andrei Manolescu

We study Coulomb interacting electrons confined in polygonal quantum rings. We focus on the interplay of localization at the polygon corners and Coulomb repulsion. Remarkably, the Coulomb repulsion allows the formation of in-gap states,…

Mesoscale and Nanoscale Physics · Physics 2017-01-13 Anna Sitek , Mugurel Tolea , Marian Nita , Llorenç Serra , Vidar Gudmundsson , Andrei Manolescu

Bound and resonance states of quantum dots play a significant role in photo-absorption processes. In this work, we analyze a cylindrical quantum dot, its spectrum and, in particular, the behaviour of the lowest resonance state when a…

Mesoscale and Nanoscale Physics · Physics 2014-05-01 Alba Y Ramos , Omar Osenda

The ground state structure of few-electron concentric double quantum rings is investigated within the local spin density approximation. Signatures of inter-ring coupling in the addition energy spectrum are identified and discussed. We show…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. I. Climente , J. Planelles , M. Barranco , F. Malet , M. Pi

The energy levels and optical transitions of tetrahedral core/shell InP/ZnSe quantum dots (QDs) are investigated by means of multi-band k$\cdot$p theory. Despite the $\overline{T}_d$ symmetry relaxing spherical selection rules, the…

Mesoscale and Nanoscale Physics · Physics 2026-04-06 Josep Planelles , Juan I. Climente

The conduction band electron states of laterally-coupled semiconductor quantum rings are studied within the frame of the effective mass envelope function theory. We consider the effect of axial and in-plane magnetic fields for several…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 J. Planelles , F. Rajadell , J. I. Climente , M. Royo , J. L. Movilla

The low-lying eigenstates of a system of two electrons confined within a two-dimensional quantum dot with a hard polygonal boundary are obtained by means of exact diagonalization. The transition from a weakly correlated charge distribution…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C E Creffield , Wolfgang Haeusler , J H Jefferson , Sarben Sarkar

We theoretically investigate the spin-orbit interaction of electrons confined in the outer regions of square core-shell nanowires. The polygonal cross section leads to the accumulation of low-energy electrons in the corners and the…

Mesoscale and Nanoscale Physics · Physics 2025-06-04 Anna Sitek , Tudor Gabriel Dumitru , Sigurdur I. Erlingsson , Andrei Manolescu

A model of the non-concentric spherical core-shell quantum dot under the influence of an externally applied electric field was proposed. It was established that the energy spectrum of both the electron and the hole depends on the intensity…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 R. Ya. Leshko , I. V. Bilynskyi , O. V. Leshko , M. Yu. Popov , A. O. Ocheretyanyi

Few-electron systems confined in a quantum dot laterally coupled to a surrounding quantum ring in the presence of an external magnetic field are studied by exact diagonalization. The distribution of electrons between the dot and the ring is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. Szafran , F. M. Peeters , S. Bednarek

Energy spectra, spin configurations, and entanglement characteristics of a system of four electrons in lateral double quantum dots are investigated using exact diagonalization (EXD), as a function of interdot separation, applied magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-02-12 Ying Li , Constantine Yannouleas , Uzi Landman

We theoretically study the spin-orbit interaction in the outer regions of core-shell nanowires that can act as tubular, prismatic conductors. The polygonal cross section of these wires induces non-uniform electron localization along the…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Anna Sitek , Sigurdur I. Erlingsson , Andrei Manolescu

Strong confinement of charges in few electron systems such as in atoms, molecules and quantum dots leads to a spectrum of discrete energy levels that are often shared by several degenerate quantum states. Since the electronic structure is…

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

We investigate the electron states and optical absorption in square- and hexagonal-shaped two-dimensional (2D) HgTe quantum dots and quantum rings in the presence of a perpendicular magnetic field. The electronic structure is modeled by…

Mesoscale and Nanoscale Physics · Physics 2019-09-20 Dušan B. Topalović , Vladimir V. Arsoski , Milan Ž. Tadić , François M. Peeters

We study numerically the optical properties of low-buckled silicene and AB-stacked bilayer graphene quantum dots subjected to an external electric field, which is normal to their surface. Within the tight-binding model, the optical…

Mesoscale and Nanoscale Physics · Physics 2017-08-29 H. Abdelsalam , M. H. Talaat , I. Lukyanchuk , M. E. Portnoi , V. A. Saroka
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