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We re-examine the effect of electron-electron interactions on the persistent current in mesoscopic metal rings threaded by an Aharonov-Bohm flux. The exchange contribution to the current is shown to be determined by the weak localization…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Peter Kopietz , Axel Voelker

The present work proposes an idea to remove the long standing controversy between the calculated and measured current amplitudes carried by a small conducting ring upon the application of an Aharonov-Bohm (AB) flux $\phi$. Within a mean…

Mesoscale and Nanoscale Physics · Physics 2010-11-01 Santanu K. Maiti

The interplay between Hubbard interaction, long-range hopping and disorder on persistent current in a mesoscopic one-dimensional conducting ring threaded by a magnetic flux $\phi$ is analyzed in detail. Two different methods, exact…

Mesoscale and Nanoscale Physics · Physics 2016-06-15 Madhumita Saha , Santanu K. Maiti

Aharonov-Bohm Physics at the two-particle level is investigated for distinguishable interacting charged particles through the exact solution of a toy model with confined states. The effect of the inaccessible magnetic flux is distributed…

Mesoscale and Nanoscale Physics · Physics 2016-09-05 Kyriakos Kyriakou , Konstantinos Moulopoulos , Areg Ghazaryan , Anahit Djotyan

Edge states of the quantum Hall fluid provide an opportunity to study mesoscopic effects in a highly correlated electron system that is both experimentally accessible and theoretically tractable. In this paper we review recent work on the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Michael R. Geller , Daniel Loss

The effect of spin-orbit interaction on persistent currents in mesoscopic Hubbard rings threaded by an Aharonov-Bohm flux is investigated putting stress on the orbital magnetism. The non-perturbative treatment of the spin-orbit interaction…

Condensed Matter · Physics 2009-10-22 Satoshi Fujimoto , Norio Kawakami

In this paper we consider the effect of disorder on the non-dissipative Coulomb drag between two mesoscopic metal rings at zero temperature. Ring 1 has an Aharonov-Bohm flux present which creates a persistent current J_0. Ring 2 interacts…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John Baker , Giovanni Vignale , A. G. Rojo

A new diagrammatic method, which is a reformulation of Berezinskii's technique, is constructed to study the density of electronic states $\rho(\epsilon,\phi)$ of a one-channel weakly disordered ring, threaded by an external magnetic flux.…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 E. P. Nakhmedov , H. Feldmann , R. Oppermann

The Aharonov-Bohm effect is investigated in two-dimensional, single-terminal quantum rings in magnetic fields by using time-dependent density-functional theory. We find multiple transport loops leading to the oscillation periods of h/(en),…

Strongly Correlated Electrons · Physics 2010-06-22 V. Kotimaki , E. Rasanen

In this work, we study persistent current in a mesoscopic cylinder subjected to both longitudinal and transverse magnetic fluxes. A simple tight-binding model is used to describe the system, where all the calculations are performed exactly…

Mesoscale and Nanoscale Physics · Physics 2009-06-29 Santanu K. Maiti , F. Aeenehvand

Partial wave theory of a three dmensional scattering problem for an arbitray short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a ``hard shere'' like potential and the magnetic flux is…

Quantum Physics · Physics 2009-11-10 De-Hone Lin

The influence of the interaction between electrons on the Aharonov-Bohm effect is investigated in the framework of the Hubbard model. The repulsion between electrons associated with strong correlation is compared with the case of attraction…

Condensed Matter · Physics 2009-10-22 F. V. Kusmartsev , J. F. Weisz , R. Kishore , Minoru Takahashi

We investigate theoretically the collective charge density wave motion through an ensemble of small disordered Aharonov-Bohm rings. It is shown that the magnetic flux modulates the threshold field and the magnetoresistance with a half flux…

Condensed Matter · Physics 2009-10-30 M. I. Visscher , B. Rejaei

We investigate the ground state current of an isolated hybrid normal/superconducting ring (NS ring), threaded by an Aharonov-Bohm magnetic flux. We calculate the excitation spectrum of the ring for any values of the lengths of the normal…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Cayssol , T. Kontos , G. Montambaux

We demonstrate quite generally how a conserved current can have an anomalous dimension. We show here that if the current in the normal state of the cuprates has an anomalous dimension, then the Aharonov-Bohm flux through a ring does not…

Strongly Correlated Electrons · Physics 2018-03-28 Kridsanaphong Limtragool , Philip W. Phillips

The effect of point defects on persistent currents in mesoscopic systems is studied in a simple tight-binding model. Using an analogy with the treatment of the critical quantum Ising chain with defects, conformal invariance techniques are…

Statistical Mechanics · Physics 2009-10-31 Malte Henkel , Dragi Karevski

Persistent currents flowing through disordered mesoscopic rings threaded by a magnetic flux are investigated. Models of fermions with on-site interactions (Hubbard model) or models of spinless fermions with nearest neighbor interactions are…

Condensed Matter · Physics 2007-05-23 Georges Bouzerar , Didier Poilblanc

The amplitude of the Bohm-Aharonov oscillations of a particle moving around a ring threaded by a magnetic flux and coupled to different dissipative environments is studied. The decay of the oscillations when increasing the radius of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 F. Guinea

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 persistent charge and spin currents in a magnetic quantum ring threaded by an Aharonov-Bohm flux, in the presence of a side-coupled one-dimensional non-magnetic chain. The neighboring magnetic moments in the ring are arranged…

Mesoscale and Nanoscale Physics · Physics 2025-07-25 Sourav Karmakar , Suparna Sarkar , Santanu K. Maiti