Josephson behavior in small normal one-dimensional rings

Büttiker, Μ.; Imry, Y.; Landauer, Rolf

doi:10.1016/0375-9601(83)90011-7

Cited by 1,294 publications

(899 citation statements)

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“…This effect originates from the periodic dependence of the phase of the electron wave function on the magnetic flux through the ring, which is the Aharonov-Bohm effect, 1 and is usually associated with the occurrence of persistent currents in the ring. [2][3][4][5] In recent years, the fabrication and the investigation of In x Ga 1−x As self-assembled quantum rings ͑SAQRs͒ have been rapidly progressing, see, e.g., Refs. 6-10.…”

Section: Introductionmentioning

confidence: 99%

Energy spectra and oscillatory magnetization of two-electron self-assembledInxGa1−xAsquantum rings in GaAs

et al. 2008

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Citation for published version (APA):Fomin, V. M., Gladilin, V. N., Devreese, J. T., Kleemans, N. A. J. M., & Koenraad, P. M. (2008). Energy spectra and oscillatory magnetization of two-electron self-assembled Inx Ga1-x As quantum rings in GaAs. Physical Review B, 77(20) Please check the document version of this publication:• A submitted manuscript is the version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website.• The final author version and the galley proof are versions of the publication after peer review.• The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal.If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the "Taverne" license above, please follow below link for the End User Agreement: www.tue.nl/taverne Take down policy If you believe that this document breaches copyright please contact us at: openaccess@tue.nl providing details and we will investigate your claim. The effects of the Coulomb interaction on the energy spectrum and the magnetization of two electrons in a strained In x Ga 1−x As/ GaAs ringlike nanostructure are analyzed with realistic parameters inferred from the cross-sectional scanning-tunneling microscopy data. With an increasing magnetic field, the lowest spin-singlet and spin-triplet states sequentially replace each other as the ground state. This is reminiscent of the AharonovBohm effect for the ringlike structures. The exchange interaction leads to a more complicated oscillatory structure of the magnetic moment of the two electrons as a function of the magnetic field as compared to the magnetization pattern for a single-electron ringlike nanostructure. We discuss the relevance of the two-electron systems for the interpretation of the Aharonov-Bohm oscillations in the persistent current observed in low temperature magnetization measurements on self-assembled In x Ga 1−x As/ GaAs ringlike nanostructures.

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Section: Introductionmentioning

confidence: 99%

Energy spectra and oscillatory magnetization of two-electron self-assembledInxGa1−xAsquantum rings in GaAs

et al. 2008

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“…Due to flux φ, a Berry phase is introduced in moving electrons which breaks time reversal symmetry and results a nonvanishing charge current. This is the so-called persistent current, an obvious demonstration of AB effect, and was first proposed by Büttiker et al 8 during early 80's. Following this pioneering work, substantial theoretical and experimental works [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] have been done along this line to understand different aspects of persistent current and other related issues in isolated conducting loops.…”

Section: Introductionmentioning

confidence: 90%

Magnetic response of non-interacting and interacting electrons in a Möbius strip

Saha

Maiti

2016

Superlattices and Microstructures

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We investigate characteristic features of both non-interacting and interacting electrons in a Möbius strip, the simplest possible one-sided topological system, in presence of an Aharonov-Bohm flux φ. Using Hartree-Fock mean field theory we determine energy eigenvalues for the interacting model, while for the non-interacting system an analytical prescription is given. The interplay between longitudinal and vertical motions of electrons along with on-site Hubbard interaction yield several anomalous features of persistent current associated with energy-flux characteristics. The variation of current with system size and its temperature dependences are also critically examined. Current is highly sensitive to both these two factors, and we find that for a particular system size it decreases exponentially with temperature. Our analysis can be helpful in investigating electronic transport through any non-trivial topological material.

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“…The phase coherence of transport through a quantum dot embedded in one arm of an open ring has been demonstrated [4]. The energy spectrum of closed rings [5] has only recently been analysed by optical experiments [6,7] and is the basis for the prediction of persistent currents [8] and related experiments [9-11]. Here we report magnetotransport experiments on a ring-shaped semiconductor quantum dot in the Coulomb blockade regime [12].…”

Section: Introductionmentioning

confidence: 94%

“…We start the discussion from the energy spectrum of an infinitely thin perfect ring of radius r 0 enclosing m flux quanta: [8] …”

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confidence: 99%

Energy spectra of quantum rings

Ihn

2004

Springer Tracts in Modern Physics

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Ring geometries have fascinated experimental and theoretical physicists over many years. Open rings connected to leads allow the observation of the Aharonov-Bohm effect [1], a paradigm of quantum mechanical phase coherence [2,3]. The phase coherence of transport through a quantum dot embedded in one arm of an open ring has been demonstrated [4]. The energy spectrum of closed rings [5] has only recently been analysed by optical experiments [6,7] and is the basis for the prediction of persistent currents [8] and related experiments [9-11]. Here we report magnetotransport experiments on a ring-shaped semiconductor quantum dot in the Coulomb blockade regime [12]. The measurements allow us to extract the discrete energy levels of a realistic ring, which are found to agree well with theoretical expectations. Such an agreement, so far only found for few-electron quantum dots, is here extended to a many-electron system [13]. In a semiclassical language our results indicate that electron motion is governed by regular rather than chaotic motion, an unexplored regime in many-electron quantum dots.

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Josephson behavior in small normal one-dimensional rings

Cited by 1,294 publications

References 10 publications

Energy spectra and oscillatory magnetization of two-electron self-assembledInxGa1−xAsquantum rings in GaAs

Energy spectra and oscillatory magnetization of two-electron self-assembledInxGa1−xAsquantum rings in GaAs

Magnetic response of non-interacting and interacting electrons in a Möbius strip

Energy spectra of quantum rings

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