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We investigate a Hamiltonian with radial potential wells and an Aharonov-Bohm vector potential with two poles. Assuming that the potential wells are symmetric, we derive the semi-classical asymptotics of the splitting between the ground and…

Spectral Theory · Mathematics 2024-07-24 Bernard Helffer , Ayman Kachmar

We study the steady-state characteristics and the transient behavior of the nonequilibrium double-dot Aharonov-Bohm interferometer using analytical tools and numerical simulations. Our simple setup includes noninteracting degenerate quantum…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Salil Bedkihal , Malay Bandyopadhyay , Dvira Segal

Transport measurements are presented on a quantum ring that is tunnel-coupled to a quantum dot. When the dot is in the Coulomb blockade regime, but strongly coupled to the open ring, Fano line shapes are observed in the current through the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Fuhrer , P. Brusheim , T. Ihn , M. Sigrist , K. Ensslin , W. Wegscheider , M. Bichler

The Little-Parks oscillations of the resistance and the quantum oscillations of the rectified voltage observed for asymmetric superconducting Al rings give experimental evidence of two degenerate energy states at the magnetic flux…

Superconductivity · Physics 2007-05-23 A. A. Burlakov , V. L. Gurtovoi , S. V. Dubonos , A. V. Nikulov , V. A. Tulin

We develop a detailed microscopic analysis of electron transport in normal diffusive conductors in the presence of proximity induced superconducting correlation. We calculated the linear conductance of the system, the profile of the…

Condensed Matter · Physics 2009-10-28 A. A. Golubov , F. K. Wilhelm , A. D. Zaikin

An Abrikosov vortex in a superconductor carries a flux quantum, Phi_0 = hc/2e, localized at its center, but induces a global 2pi phase rotation in the superconducting condensate. This long-range gauge field outside the area pierced by a…

Superconductivity · Physics 2015-05-18 Taras Golod , Andreas Rydh , Vladimir M. Krasnov

We investigate spin-dependent conductance through a quantum Aharonov-Bohm ring containing localized electrons which interact with the propagating flow of electrons via exchange interaction of the ferromagnetic or antiferromagnetic type. We…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 I. G. Savenko , R. G. Polozkov , I. A. Shelykh

Ring geometries have fascinated experimental and theoretical physicists over many years. Open rings connected to leads allow the observation of the Aharonov-Bohm effect, a paradigm of quantum mechanical phase coherence. The phase coherence…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Fuhrer , S. Luescher , T. Ihn , T. Heinzel , K. Ensslin , W. Wegscheider , M. Bichler

We consider a non-interacting system of electrons on a clean one-channel Aharonov-Bohm ring which is threaded by a fluctuating magnetic flux. The flux derives from a Caldeira-Leggett bath of harmonic oscillators. We address the influence of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Florian Marquardt , C. Bruder

Gaussian linking of a semiclassical path of a charged particle with a magnetic flux tube is responsible for the Aharonov-Bohm effect, where one observes interference proportional to the magnitude of the enclosed flux. We construct quantum…

High Energy Physics - Theory · Physics 2008-11-26 Roman V. Buniy , Thomas W. Kephart

We study the time-dependent transport of charge and spin through a ring-shaped region sequentially coupled to a weakly interacting quantum dot in the presence of an Aharonov-Bohm flux and spin-orbit interaction. The time-dependent…

Mesoscale and Nanoscale Physics · Physics 2009-01-09 F. Romeo , R. Citro , M. Marinaro

We predict the force-free scalar Aharonov-Bohm effect of a Cooper pair box in an electric field at a distance without forming a closed path of the interfering charges. The superposition of different charge states plays a major role in…

Mesoscale and Nanoscale Physics · Physics 2018-11-02 Young-Wan Kim , Kicheon Kang

In type-I superconducting cylinders bulk superconductivity is destroyed above the first critical current. Below the second critical current the `type-I mixed state' displays fluctuation superconductivity which contributes to the total…

Superconductivity · Physics 2007-05-23 Catrin Ellenberger , Florian Gebhard , Wolfgang Bestgen

Effects of a bias electric current have been theoretically investigated in a spin-triplet superconducting ring in a magnetic field. Based on the Ginzburg-Landau theory, we show that the bias current can stabilize a half-quantum-flux (HQF)…

Superconductivity · Physics 2023-08-08 Kazushi Aoyama

The role of Aharonov-Bohm effect in quantum tunneling is examined when a potential is defined on the $S^1$ and has $N$-fold symmetry. We show that the low-lying energy levels split from the $N$-fold degenerate ground state oscillate as a…

Quantum Physics · Physics 2015-06-26 ChangSoo Park , D. K. Park

Motion of a non-relativistic particle on a cone with a magnetic flux running through the cone axis (a ``flux cone'') is studied. It is expressed as the motion of a particle moving on the Euclidean plane under the action of a…

High Energy Physics - Theory · Physics 2009-10-30 E. S. Moreira , Jnr

We investigate the persistent current influenced by the spin fluctuations in a mesoscopic ring weakly coupled to a quantum dot. It is shown that the Kondo effect gives rise to some unusual features of the persistent current in the limit…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Sam Young Cho , Kicheon Kang , Chul Koo Kim , Chang-Mo Ryu

The lowest eigenenergies of few, strongly interacting electrons in a one--dimensional ring are studied in the presence of an impurity barrier. The persistent current $\:I\:$, periodic in an Aharonov--Bohm flux penetrating the ring, is…

Condensed Matter · Physics 2009-10-28 Wolfgang Häusler

A quantum particle interacting with a thin solenoid and a magnetic flux is described by a five-parameter family of Hamilton operators, obtained via the method of self-adjoint extensions. One of the parameters, the value of the flux,…

Mathematical Physics · Physics 2015-06-26 L. Dabrowski , P. Stovicek

We investigate the properties of strongly correlated electronic models on a flux-threaded ring connected to semi-infinite free-electron leads. The interference pattern of such an Aharonov-Bohm ring shows sharp dips at certain flux values,…

Strongly Correlated Electrons · Physics 2009-11-10 K. Hallberg , A. A. Aligia , A. P. Kampf , B. Normand