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Using the persistent current I induced by an Aharonov-Bohm flux in square lattices with random potentials, we study the interplay between electronic correlations and disorder upon the ground state (GS) of a few polarized electrons (spinless…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Zoltan Adam Nemeth , Jean-Louis Pichard

We investigate the scattering of an electron by an infinitely thin and infinitely long straight magnetic flux tube in the framework of QED. We discuss the solutions of the Dirac and Maxwell fields in the related external pure AB potential…

High Energy Physics - Theory · Physics 2009-10-30 J. Audretsch , Ulf. Jasper , V. D. Skarzhinsky

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…

Phase effects on the conductance of a double-dot system in a ring structure threaded by a magnetic flux are studied. The Aharonov-Bohm effect combined with the dot many-body charging effects determine the phases of the currents going…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. M. Apel , Maria A. Davidovich , G. Chiappe , E. V. Anda

The model of a ring threaded by the Aharonov-Bohm flux underlies our understanding of a coupling between gauge potentials and matter. The typical formulation of the model is based upon a single particle picture, and should be extended when…

Quantum Gases · Physics 2023-08-29 Fabian Brauneis , Areg Ghazaryan , Hans-Werner Hammer , Artem G. Volosniev

We consider two-dimensional (2D) Dirac quantum ring systems formed by the infinite mass constraint. When an Aharonov-Bohm magnetic flux is present, e.g., through the center of the ring domain, persistent currents, i.e., permanent currents…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Lei Ying , Ying-Cheng Lai

We study the persistent currents induced by both the Aharonov-Bohm and Aharonov-Casher effects in a one-dimensional mesoscopic ring coupled to a side-branch quantum dot at Kondo resonance. For privileged values of the Aharonov-Bohm-Casher…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. -P. Eckle , H. Johannesson , C. A. Stafford

We investigate the conductance of a 1-D disordered conducting loop with two contacts, immersed in a magnetic flux. We show the appearance in this model of the Al'tshuler-Aronov-Spivak behaviour. We also investigate the case of a chain of…

Condensed Matter · Physics 2009-10-22 A. S. Cattaneo , A. Gamba , I. V. Kolokolov , M. Martellini

We study quantum transport in a one-dimensional Hubbard ring with dimerized nearest-neighbor hoppings and a Fibonacci-modulated onsite potential. For non-interacting case our analysis reveals that at half-filling, the charge current along…

Other Condensed Matter · Physics 2025-09-12 Souvik Roy , Soumya Ranjan Padhi , Tapan Mishra

This research paper delves into the study of a non-relativistic quantum system, considering the interplay of non-inertial effects induced by a rotating frame and confinement by the Aharonov-Bohm (AB) flux field with potential in the…

Quantum Physics · Physics 2023-08-31 Faizuddin Ahmed , Houcine Aounallah , Prabir Rudra

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

We calculate the orbital magnetic response to Aharonov Bohm flux of disordered metallic rings with attractive pairing interaction. We consider the reduced BCS model, and obtain the result as an expansion of its exact solution to first order…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 M. Schechter , Y. Imry , Y. Levinson , Y. Oreg

We have studied the effects of interactions on persistent currents in half-filled and quarter-filled Hubbard models with weak and intermediate strength disorder. Calculations are performed using a variational Gutzwiller ansatz that…

Strongly Correlated Electrons · Physics 2015-05-30 A. Farhoodfar , R. J. Gooding , W. A. Atkinson

We study the conductance through a ring described by the Hubbard model (such as an array of quantum dots), threaded by a magnetic flux and subject to Rashba spin-orbit coupling (SOC). We develop a formalism that is able to describe the…

Strongly Correlated Electrons · Physics 2009-02-10 A. M. Lobos , A. A. Aligia

We implement a self-consistent Hartree-Fock approximation based on a microscopic model in real space, which allows us to consider the interplay between the Hubbard and the extended Coulomb interaction in twisted bilayer graphene at the…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 J. Gonzalez , T. Stauber

We theoretically analyse a long constriction between the helical edge states of a two-dimensional topological insulator. The constriction is laterally tunnel-coupled to two superconductors and a magnetic field is applied perpendicularly to…

Mesoscale and Nanoscale Physics · Physics 2022-05-17 Lucia Vigliotti , Alessio Calzona , Björn Trauzettel , Maura Sassetti , Niccolò Traverso Ziani

Absence of localization is demonstrated analytically to leading order in weak disorder in a one-dimensional Anderson model of a ring threaded by an Aharonov-Bohm (A-B) flux. The result follows from adapting an earlier perturbation treatment…

Disordered Systems and Neural Networks · Physics 2015-05-13 J. Heinrichs

The microscopic basis for the stability of itinerant ferromagnetism in correlated electron systems is examined. To this end several routes to ferromagnetism are explored, using both rigorous methods valid in arbitrary spatial dimensions, as…

Strongly Correlated Electrons · Physics 2009-10-30 D. Vollhardt , N. Blümer , K. Held , M. Kollar , J. Schlipf , M. Ulmke

Majorana fermions act as their own antiparticle, and they have long been thought to be confined to the realm of pure theory. However, interest in them has recently resurfaced, as it was realized through the work of Kitaev that some…

Mesoscale and Nanoscale Physics · Physics 2021-08-16 T. C. Bartolo , J. S. Smith , B. Muralidharan , C. Müller , T. M. Stace , J. H. Cole

We investigate localization and reentrance in a dimerized Su-Schrieffer-Heeger (SSH) tight-binding chain whose on-site energies are given by a quasiperiodic cosine masked by a deterministic Thue-Morse sequence. Working with non-interacting,…

Disordered Systems and Neural Networks · Physics 2025-12-23 Taylan Yildiz , B. Tanatar
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