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In this paper we study the relativistic quantum dynamics of a massless fermion confined in a quantum ring. We use a model of confining potential and introduce the interaction via Dirac oscillator coupling, which provides ring confinement…

Mesoscale and Nanoscale Physics · Physics 2016-08-01 Jose Amaro Neto , M. J. Bueno , Claudio Furtado

The gap oscillations caused by a magnetic flux penetrating a carbon nanotube represent one of the most spectacular observation of the Aharonov-Bohm effect at the nano--scale. Our understanding of this effect is, however, based on the…

Mesoscale and Nanoscale Physics · Physics 2012-06-04 Davide Sangalli , Andrea Marini

The Aharonov-Bohm effect is a quantum mechanical phenomenon that demonstrates how potentials can have observable effects even when the classical fields associated with those potentials are absent. Initially proposed for electromagnetic…

Quantum Physics · Physics 2024-09-05 Michael E Tobar , Michael T Hatzon , Graeme R Flower , Maxim Goryachev

The Aharonov-Bohm effect in a one-dimensional (1D) ring containing a gas of fractionally charged excitations is considered. It is shown that the low temperature behavior of the system is identical to that of free electrons with (integer)…

Condensed Matter · Physics 2016-08-15 I. V. Krive , P. Sandström , R. I. Shekhter , M. Jonson

We study electron transport through multiply-connected mesoscopic geometries containing interacting quantum dots. Our formulation covers both equilibrium and non-equilibrium physics. We discuss the relation of coherent transport channels…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Jürgen König , Yuval Gefen

The optical exciton Aharonov-Bohm effect, i. e. an oscillatory component in the energy of optically active (bright) states, is investigated in nanorings. It is shown that a small effective electron mass, strong confinement of the electron,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Grochol , F. Grosse , R. Zimmermann

The spin-interference that is caused by the Rashba spin-orbit interaction in a gate-controlled Aharonov-Bohm ring is studied by the analysis of the conductance oscillations as a function of both the gate voltage and magnetic field. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. A. Shelykh , N. T. Bagraev , N. G. Galkin , L. E. Klyachkin

Holographic measurements on magnetised thin-film cobalt rings have demonstrated both onion and vortex states of magnetisation. For a ring in the vortex state, the difference between phases of electron paths that pass through the ring and…

Instrumentation and Detectors · Physics 2012-06-18 C. J. Edgcombe , A. Ionescu , J. C. Loudon , A. M. Blackburn , H. Kurebayashi , C. H. W. Barnes

Recent experiments [M. Yamamoto et al., Nature Nanotechnology 7, 247 (2012)] used the transport of electrons through an Aharonov-Bohm interferometer and two coupled channels (at both ends of the interferometer) to demonstrate a manipulable…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 A. Aharony , S. Takada , O. Entin-Wohlman , M. Yamamoto , S. Tarucha

In order to understand how screening is modified by electronic interferences in a mesoscopic isolated system, we have computed both analytically and numerically the average thermodynamic and time dependent polarisabilities of two…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. Noat , R. Deblock , B. Reulet , H. Bouchiat

The nonlinear electronic transport properties of a ballistic Aharonov-Bohm ring are investigated. It is demonstrated how the electronic interaction breaks the phase rigidity in a two-probe mesoscopic device as the voltage bias is increased.…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Alexis R. Hernández , Caio H. Lewenkopf

We calculate the average polarisability of two dimensional mesoscopic rings in the presence of an Aharonov-Bohm flux. The screening is taken into account self-consistently within a mean-field approximation. We investigate the effects of…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Yves Noat , Bertrand Reulet , Helene Bouchiat

The Aharonov-Bohm (AB) effect highlights the fundamental role of electromagnetic potentials in quantum mechanics, manifesting as a phase shift for a charged particle in field-free regions. While well-established for static magnetic fluxes,…

Quantum Physics · Physics 2026-01-27 Shan Gao

This paper addresses the scattering of a beam of charged particles by an infinitely long magnetic string in the context of the hydrodynamical approach to quantum mechanics. The scattering is qualitatively analyzed by two approaches. In the…

Dynamical Systems · Mathematics 2007-05-23 Luis Fernando Mello , Yuri Cândido Ribeiro

Neutral excitons in strained axially symmetric In(Ga)As/GaAs quantum dots with ringlike shape are investigated. Similar to experimental self-assembled quantum rings, the analyzed quantum dots have volcano-like shapes. The continuum…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Vladimir V. Arsoski , Milan Ž. Tadić , François M. Peeters

We present conductance measurements of a ballistic circular stadium influenced by a scanning gate. When the tip depletes the electron gas below, we observe very pronounced and regular fringes covering the entire stadium. The fringes…

Mesoscale and Nanoscale Physics · Physics 2016-10-31 A. A. Kozikov , R. Steinacher , C. Rössler , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

We consider a nonrelativistic quantum charged particle moving on a plane under the influence of a uniform magnetic field and driven by a periodically time-dependent Aharonov-Bohm flux. We observe an acceleration effect in the case when the…

Mathematical Physics · Physics 2011-07-15 T. Kalvoda , P. Stovicek

This is a review of electronic quantum interference in mesoscopic ring structures based on graphene, with a focus on the interplay between the Aharonov-Bohm effect and the peculiar electronic and transport properties of this material. We…

Mesoscale and Nanoscale Physics · Physics 2012-08-06 Jörg Schelter , Patrik Recher , Björn Trauzettel

In a previous study \cite{n} we investigate the bound states of the Hamiltonian describing a quantum particle living on three dimensional straight strip of width $d$. We impose the Neumann boundary condition on a disc window of radius $a$…

Mathematical Physics · Physics 2016-02-23 H. Najar , M. Raissi

Quantum transport properties are instrumental to understanding quantum coherent transport processes. Potential applications of quantum transport are widespread, in areas ranging from quantum information science to quantum engineering, and…

Quantum Physics · Physics 2016-12-04 L. Jin