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We numerically calculate the magnetization by applying the magnetic field ($B$) perpendicular to two-dimensional corbino disk system without electron spin. We obtain that the period of the Aharonov-Bohm (AB) oscillations of magnetization…

Mesoscale and Nanoscale Physics · Physics 2014-08-27 Katsumi Itahashi , Keita Kishigi , Yasumasa Hasegawa

This paper theoretically studies the quantum coherence of an electronic state on an artificial chiral Tomonaga-Luttinger (TL) liquid. Coulomb interaction between copropagating integer quantum Hall edge channels causes the TL liquid nature…

Mesoscale and Nanoscale Physics · Physics 2025-08-20 Eiki Iyoda , Takase Shimizu , Masayuki Hashisaka

Aharonov-Bohm (AB) interferences in the quantum Hall regime can be achieved, provided that electrons are able to transmit between two edge channels in nanostructures. Pioneering approaches include quantum point contacts in 2DEG systems,…

Mesoscale and Nanoscale Physics · Physics 2019-11-21 Viet Hung Nguyen , Jean-Christophe Charlier

We use the Aharonov-Bohm effect in a four-terminal ring based on a Ga[Al]As heterostructure for the measurement of the relative transmission phase. In each of the two interfering paths we induce a quantum dot. The number of electrons in the…

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

For the solid state double-dot interferometer, the phase shifted interference pattern induced by the interplay of inter-dot Coulomb correlation and multiple reflections is analyzed by harmonic decomposition. Unexpected result is uncovered,…

Quantum Physics · Physics 2015-05-13 Feng Li , HuJun Jiao , Hui Wang , JunYan Luo , Xin-Qi Li

The Aharonov-Bohm (AB) effect has been highly influential in fundamental and applied physics. Its topological nature commonly implies that an electron encircling a magnetic flux source in a field-free region must close the loop in order to…

We study transport through double quantum dots coupled to normal and superconducting leads, where the Andreev reflection plays a key role in determining characteristic transport properties. We shall discuss two typical cases, i.e. double…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoichi Tanaka , Norio Kawakami

We discuss the consequences of the Aharonov-Bohm effect in setups involving several charged particles, wherein none of the charged particles encloses a closed loop around the magnetic flux. We show that in such setups, the AB phase is…

Quantum Physics · Physics 2009-11-11 A. Retzker , Y. Aharonov , A. Botero , S. Nussinov , B. Reznik

The Aharonov-Bohm (AB) effect in a small array of antidots with large aspect ratio is investigated in the quantum Hall regime. The evolution with temperature of the AB oscillations in the magnetic field vs gate voltage (B-Vg) plane reveals…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Masanori kato , Akira Endo , Shingo Katsumoto , Yasuhiro Iye

We investigate theoretically the transport of non--interacting electrons through an Aharanov--Bohm (AB) interferometer with two quantum dots (QD) embedded into its arms. In the Coulomb-blockade regime, transport through each QD proceeds via…

Disordered Systems and Neural Networks · Physics 2009-11-10 Hans A. Weidenmueller

The electric Aharonov-Bohm effect is a special case of the general Ab effect. However, when inserting a gravitational potential in the place of the time dependent potential, a different understanding of the phase shift could be gained. The…

Quantum Physics · Physics 2010-12-30 Doron M. Ludwin

Low frequency plasma oscillations in superconducting tubes are considered. The emergence of two different dimensionality regimes of plasma oscillations in tubes, exhibiting a crossover from one-dimensional to two-dimensional behavior,…

Mesoscale and Nanoscale Physics · Physics 2008-12-25 E. N. Bogachek , I. A. Romanovsky , Uzi Landman

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

Recent works showed that the Aharonov-Bohm (AB) phase difference for a quantum charged particle can be written in terms of electric and magnetic fluxes in a spacetime surface whose boundaries are the possible particle worldlines in the…

Quantum Physics · Physics 2025-12-18 Hiram S. M. Rodrigues , Katson W. O. Arévola , Pablo L. Saldanha

We study the Fano-Kondo effect in a closed Aharonov-Bohm (AB) interferometer which contains a single-level quantum dot and predict a frequency doubling of the AB oscillations as a signature of Kondo-correlated states. Using Keldysh…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Walter Hofstetter , Jürgen König , Herbert Schoeller

It has been suggested that the magnetic Aharonov-Bohm effect can be interpreted equally well as being due to a phase shift associated with an electron in an interferometer enclosing a magnetic flux, or as a phase shift associated with the…

Quantum Physics · Physics 2025-10-14 J. D. Franson

We analytically and numerically investigate an Aharonov-Bohm interferometer with two superconducting terminals and a strongly correlated quantum dot in one arm. Through a rigorous derivation, we prove that this double-path interferometer is…

Mesoscale and Nanoscale Physics · Physics 2026-03-09 Peter Zalom , Don Rolih , Rok Žitko

Quantum transport through a double Aharonov-Bohm-interferometer in the presence of Andreev reflection is investigated in terms of the nonequilibrium Green function method with which the reflection current is obtained. Tunable Andreev…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yong-Ping Zhang , Hui Yu , Ying-Fang Gao , J. -Q. Liang

We calculate the oscillations of the DC conductance across a mesoscopic ring, simultaneously tuned by applied magnetic and electric fields orthogonal to the ring. The oscillations depend on the Aharonov-Bohm flux and of the spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. Capozza , D. Giuliano , P. Lucignano , A. Tagliacozzo

We study AB oscillations of transition temperature, paraconductivity and specific heat of thin ring in the regime of inhomogeneous Larkin - Ovchinnikov - Fulde - Ferrell superconducting state. We found that in contrast to uniform…

Superconductivity · Physics 2009-11-13 A. A. Zyuzin , A. Yu. Zyuzin