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Theoretical approaches to one-dimensional and quasi-one-dimensional quantum rings with a few electrons are reviewed. Discrete Hubbard-type models and continuum models are shown to give similar results governed by the special features of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Viefers , P. Koskinen , P. Singha Deo , M. Manninen

Energy spectra of quasi-one-dimensional quantum rings with a few electrons are studied using several different theoretical methods. Discrete Hubbard models and continuum models are shown to give similar results governed by the special…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Manninen , P. Koskinen , M. Koskinen , P. Singha Deo , S. M. Reimann , S. Viefers

We explore the spin and charge properties of electrons in wurtzite semiconductor nanowires where radial and axial confinement leads to tubular or ring-shaped quantum structures. Accounting for spin-orbit interaction induced by the wurtzite…

Mesoscale and Nanoscale Physics · Physics 2020-05-13 Michael Kammermeier , Adrian Seith , Paul Wenk , John Schliemann

The electronic transport of a noninteracting quantum ring side-coupled to a quantum wire is studied via a single-band tunneling tight-binding Hamiltonian. We found that the system develops an oscillating band with antiresonances and…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. A. Orellana , M. L. Ladron de Guevara , M. Pacheco , A. Latge

We consider an electron confined in a gated nanowire quantum dot (NQD) with arbitrarily strong spin-orbit coupling (SOC) and weak static magnetic field, and treat the latter as a perturbation to seek the maximal spin-motion entangled states…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 Kuo Hai , Xuefang Deng , Qiong Chen , Wenhua Hai

A persistent current qubit has two quantum states with opposite currents flowing in a superconducting loop. Their magnetic field couple to nuclear spins. The qubit state is not only perturbed by the spins but it also gets entangled with the…

Condensed Matter · Physics 2007-05-23 Jacek Dziarmaga

Charge and spin density distributions are studied within a nano-ring structure endowed with Rashba and Dresselhaus spin orbit coupling (SOI). For a small number of interacting electrons, in the presence of an external magnetic field, the…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Csaba Daday , Andrei Manolescu , D. C. Marinescu , Vidar Gudmundsson

A comprehensive study of anisotropic quantum rings, QRs, subject to axial and in-plane magnetic field, both aligned and transverse to the anisotropy direction, is carried out. Elliptical QRs for a wide range of eccentricity values and also…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Planelles , F. Rajadell , J. I. Climente

We put forward a new approach based on Green's function formalism to evaluate precisely persistent charge and spin currents in an Aharonov-Bohm ring subjected to Rashba and Dresselhaus spin-orbit interactions. Unlike conventional methods…

Mesoscale and Nanoscale Physics · Physics 2014-08-19 Santanu K. Maiti , Moumita Dey , S. N. Karmakar

We study the persistent current in a system of SU($N$) fermions with repulsive interaction confined in a ring-shaped potential and pierced by an effective magnetic flux. By applying a combination of Bethe ansatz and numerical analysis, we…

Quantum Gases · Physics 2022-01-26 Wayne J. Chetcuti , Tobias Haug , Leong-Chuan Kwek , Luigi Amico

The motion of an electron and its spin are generally not coupled. However in a one dimensional material with strong spin-orbit interaction (SOI) a helical state may emerge at finite magnetic fields, where electrons of opposite spin will…

A shallow potential well in a near-perfect quantum wire will bind a single-electron and behave like a quantum dot, giving rise to spin-dependent resonances of propagating electrons due to Coulomb repulsion and Pauli blocking. It is shown…

Mesoscale and Nanoscale Physics · Physics 2008-04-02 J. H. Jefferson , A. Ramsak , T. Rejec

We consider the several phenomena which are taking place in Quantum Dots (QD) and Quantum Rings (QR): The connection of the Quantum Chaos (QC) with the reflection symmetry of the QD, Disappearance of the QC in the tunnel coupled chaotic QD,…

Mesoscale and Nanoscale Physics · Physics 2012-06-08 I. Filikhin , S. G. Matinyan , B. Vlahovic

We demonstrate that persistent current in meso- and nanorings may fluctuate down to zero temperature provided the current operator does not commute with the total Hamiltonian of the system. For a model of a quantum particle on a ring we…

Mesoscale and Nanoscale Physics · Physics 2010-12-23 Andrew G. Semenov , Andrei D. Zaikin

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

Spin properties of two interacting electrons in a quantum dot (QD) embedded in a nanowire with controlled aspect ratio and longitudinal magnetic fields are investigated by using a configuration interaction (CI) method and exact…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Yan-Ting Chen , Shun-Jen Cheng , Chi-Shung Tang

We conduct a thorough study of the persistent currents in a spin-orbit coupled ${\alpha}-T_3$ pseudospin-1 fermionic quantum ring (QR) that smoothly interpolates between graphene (${\alpha} = 0$, pseudospin-1/2) and a dice lattice…

Mesoscale and Nanoscale Physics · Physics 2023-08-15 Mijanur Islam , Saurabh Basu

Extending the coherence lifetime of a qubit is central to the implementation and deployment of quantum technologies, particularly in the solid-state where various noise sources intrinsic to the material host play a limiting role. Here, we…

Quantum Physics · Physics 2023-07-03 Carlos A. Meriles , Pablo R. Zangara , Daniela Pagliero

The electronic transport in a system of two quantum rings side-coupled to a quantum wire is studied via a single-band tunneling tight-binding Hamiltonian. We derived analytical expressions for the conductance, density of states and the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. A. Orellana , M. Pacheco

The spin-orbit coupling systems with a zero magnetic field is studied under the equilibrium situation, {\it i.e.}, without a voltage bias. A persistent spin current is predicted to exist under most circumstances, although the persistent…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Qing-feng Sun , X. C. Xie
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