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We consider diffusive lattice gases on a ring and analyze the stability of their density profiles conditionally to a current deviation. Depending on the current, one observes a phase transition between a regime where the density remains…

Statistical Mechanics · Physics 2009-11-11 T. Bodineau , B. Derrida

Vacuum fluctuations are a source of irreversibility and decoherence. We investigate the persistent current and its fluctuations in a ring with an in-line quantum dot with an Aharonov-Bohm flux through the hole of the ring. The Coulomb…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Markus Buttiker

Where, and how, does energy dissipation of electrical energy take place in a ballistic wire? Fully two decades after the advent of the transmissive phenomenology of electrical conductance, this deceptively simple query remains unanswered.…

Mesoscale and Nanoscale Physics · Physics 2009-01-06 Mukunda P. Das , Frederick Green

The energy and persistent current spectra for a relativistic fermion on a ring is studied in details. The nonlinear nature of persistent current in relativistic regime and its dependence on particle mass and ring radius are analysed…

Mesoscale and Nanoscale Physics · Physics 2013-12-25 Sumit Ghosh

We discuss the sign of the persistent current of N electrons in one dimensional rings. Using a topology argument, we establish lower bounds for the free energy in the presence of arbitrary electron-electron interactions and external…

Mesoscale and Nanoscale Physics · Physics 2008-09-08 Xavier Waintal , Genevieve Fleury , Kyryl Kazymyrenko , Manuel Houzet , Peter Schmitteckert , Dietmar Weinmann

It is demonstrated that the strong coupling of an electron gas to photons in systems with broken time-reversal symmetry results in bound electron-photon states which cannot be backscattered elastically. As a consequence, the electron gas…

Mesoscale and Nanoscale Physics · Physics 2012-10-05 O. V. Kibis

The new model of a quantum ring (QR) defined inside a nanowire (NW) is proposed. The one-particle Hamiltonian for electron in [111]-oriented NW QR is constructed taking into account both Rashba and Dresselhaus spin-orbit coupling (SOC). The…

Mesoscale and Nanoscale Physics · Physics 2018-04-19 I. A. Kokurin

A tight-binding model of electron dynamics in mesoscopic normal rings is studied using boundary conformal field theory. The partition function is calculated in the low energy limit and the persistent current generated as a function of an…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Jaimungal , M. H. S. Amin , G. Rose

We consider the effect of an oscillating potential on the single-particle spectrum and the time-averaged persistent current of a one-dimensional phase-coherent mesoscopic ring with a magnetic flux. We show that in a ring with an even number…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Moskalets , M. Buttiker

The general expression for the persistent current of 1D noninteracting electrons in a disorder potential with smooth scattering data is derived for zero temperature. On the basis of this expression the parity effects are discussed. It is…

Condensed Matter · Physics 2009-10-22 Alexander O. Gogolin , Nikolai V. Prokof'ev

The exact solutions of the complete Dirac equation for fermions moving in ideal Aharonov-Bohm rings are used for deriving the exact expressions of the relativistic partial currents. It is show that as in the non-relativistic case these…

Quantum Physics · Physics 2016-01-20 Ion I. Cotaescu , Doru-Marcel Baltateanu , Ion Cotaescu

The persistent current in a clean mesoscopic ring with ballistic electron motion is calculated. The particle dynamics inside a ring is assumed to be chaotic due to scattering at the surface irregularities of atomic size. This allows one to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. V. Samokhin

We explore the behavior of persistent current and low-field magnetic response in mesoscopic one-channel rings and multi-channel cylinders within the tight-binding framework. We show that the characteristic properties of persistent current…

Mesoscale and Nanoscale Physics · Physics 2009-05-20 Santanu K. Maiti

The exact solutions of the complete (1+3)-dimensional Dirac equation of fermions moving in ideal Aharonov-Bohm (AB) rings and cylinders are used for deriving the exact expressions of the relativistic partial currents. It is shown that these…

Quantum Physics · Physics 2016-06-28 Ion I. Cotaescu

Superconductors are famously capable of supporting persistent electrical currents, that is, currents that flow without any measurable decay as long as the material is kept in the superconducting state. We introduce here a class of materials…

Superconductivity · Physics 2025-07-31 Kyle Monkman , Joan Weng , Niclas Heinsdorf , Alberto Nocera , Marcel Franz

The persistent current in small isolated rings enclosing magnetic flux is the current circulating in equilibrium in the absence of an external excitation. While initially studied in superconducting and normal metals, recently, atomic…

Quantum Gases · Physics 2022-03-08 Ovidiu I. Patu , Dmitri V. Averin

The notion of ``radiating'' and ``non-radiating'' current sources in classical electrodynamics plays an important role in calculations of direct and inverse electromagnetic scattering problems. Such a decomposition of the current is central…

Quantum Physics · Physics 2007-05-23 G. Castellani , S. Sivasubramanian , A. Widom , Y. N. Srivastava

The observations of the dc voltage proportional to the persistent current on system of asymmetric superconductor loops at a non-zero resistance raise a question on a nature of this quantum phenomenon and its possibility in semiconductor and…

Superconductivity · Physics 2009-10-28 V. L. Gurtovoi , A. I. Il'in , A. V. Nikulov , V. A. Tulin

Recent precision measurements of mesoscopic persistent currents in normal-metal rings rely on the interaction between the magnetic moment generated by the current and a large applied magnetic field. Motivated by this technique, we extend…

The relativistic theory of the Dirac fermions moving on cylinders in external Aharonov-Bohm field is built starting with a suitably restricted Dirac equation whose spin degrees of freedom are not affected. The exact solutions of this…

Quantum Physics · Physics 2019-02-12 Ion I. Cotaescu , Doru-Marcel Baltateanu , Ion Cotaescu