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We study weak localization in chains of metallic rings. We show than nonlocality of quantum transport can drastically affect the behaviour of the harmonics of magnetoconductance oscillations. Two different geometries are considered: the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Christophe Texier , Gilles Montambaux

We study the effect of the electron-electron interaction on the weak localization correction of a ring pierced by a magnetic flux. We compute exactly the path integral giving the magnetoconductivity for an isolated ring. The results are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christophe Texier , Gilles Montambaux

We investigate weak localization in metallic networks etched in a two dimensional electron gas between $25\:$mK and $750\:$mK when electron-electron (e-e) interaction is the dominant phase breaking mechanism. We show that, at the highest…

Mesoscale and Nanoscale Physics · Physics 2008-04-09 M. Ferrier , A. C. H. Rowe , S. Gueron , H. Bouchiat , C. Texier , G. Montambaux

We describe the effects of phase coherence on transport and thermodynamic properties of a disordered conducting network. In analogy with weak-localization correction, we calculate the phase coherence contribution to the magnetic response of…

Mesoscale and Nanoscale Physics · Physics 2017-02-08 Michael Pascaud , Gilles Montambaux

We consider the weak localization in a ring connected to reservoirs through leads of finite length and submitted to a magnetic field. The effect of decoherence due to electron-electron interaction on the harmonics of AAS oscillations is…

Disordered Systems and Neural Networks · Physics 2008-04-10 Christophe Texier

The coherent quantum transport of matter wave through a ring-shaped circuit attached to leads defines an iconic system in mesoscopic physics that has allowed both to explore fundamental questions in quantum science and to draw important…

Quantum Gases · Physics 2025-06-17 Francesco Perciavalle , Oliver Morsch , Davide Rossini , Luigi Amico

In the present review we make a comprehensive analysis of our understanding on electron transport in mesoscopic single-channel rings and multi-channel cylinders within a tight-binding framework. A spectacular mesoscopic phenomenon where a…

Mesoscale and Nanoscale Physics · Physics 2013-05-22 Santanu K. Maiti

Decoherence in Nature has become one of the most pressing problems in physics. Many applications, including quantum information processing, depend on understanding it; and fundamental theories going beyond quantum mechanics have been…

Mesoscale and Nanoscale Physics · Physics 2011-07-27 S. Takahashi , I. S. Tupitsyn , J. van Tol , C. C. Beedle , D. N. Hendrickson , P. C. E. Stamp

We study electron transport in a normal-metal ring modeled by the tight binding lattice Hamiltonian, coupled to two electron reservoirs. First, Buttiker's model of incorporating inelastic scattering, hence decoherence and dissipation, has…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dibyendu Roy

This lecture note reviews a variety of transport and thermodynamic measurements of electron decoherence time in low-dimensional conductors at low temperature. The mechanism of dephasing by electron interaction mediated by an arbitrarily…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. Mohanty

We study the amplitude of mesoscopic Aharonov-Bohm oscillations in quasi-one-dimensional (Q1D) diffusive rings. We consider first the low-temperature limit of a fully coherent sample. The variance of oscillation harmonics is calculated as a…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 T. Ludwig , A. D. Mirlin

We develop a detailed microscopic analysis of electron transport in normal diffusive conductors in the presence of proximity induced superconducting correlation. We calculated the linear conductance of the system, the profile of the…

Condensed Matter · Physics 2009-10-28 A. A. Golubov , F. K. Wilhelm , A. D. Zaikin

We obtain exact analytical expressions for the electronic transport through a multi-channel system, also with an applied magnetic field. The geometrical structure of the electrodes is found to cause a splitting of the conduction band into…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Yan Chen , Shi-Jie Xiong , S. N. Evangelou

We report on the measurement of phase coherence length in a high mobility two-dimensional electron gas patterned in two different geometries, a wire and a ring. The phase coherence length is extracted both from the weak localization…

Mesoscale and Nanoscale Physics · Physics 2013-02-01 Thibaut Capron , Christophe Texier , Gilles Montambaux , Dominique Mailly , Andreas D. Wieck , Laurent Saminadayar

Electron transport properties are investigated in an array of mesoscopic rings, where each ring is threaded by a magnetic flux $\phi$. The array is attached to two semi-infinite one-dimensional metallic electrodes, namely, source and drain,…

Mesoscale and Nanoscale Physics · Physics 2010-04-28 Paramita Dutta , Santanu K. Maiti , S. N. Karmakar

We identify the different contributions to quantum interference in a mesoscopic metallic loop in contact with two superconducting electrodes. At low temperature, a flux-modulated Josephson coupling is observed with strong damping over the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 H. Courtois , Ph. Gandit , D. Mailly , B. Pannetier

Electron transport through disordered quasi one-dimensional quantum systems is studied. Decoherence is taken into account by a spatial distribution of virtual reservoirs, which represent local interactions of the conduction electrons with…

Quantum Physics · Physics 2014-02-06 Thomas Stegmann , Orsolya Ujsághy , Dietrich E. Wolf

The electronic transport of a noninteracting quantum ring side-coupled to a quantum wire is studied via a single-band tunneling tight-binding Hamiltonian. We found that the system develops an oscillating band with antiresonances and…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. A. Orellana , M. L. Ladron de Guevara , M. Pacheco , A. Latge

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 investigated the magnetotransport properties of mesoscopic platinum nanostructures (wires and rings) with sub-100 nm lateral dimensions at very low temperatures. Despite the strong spin-orbit interaction in platinum, oscillations of the…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 R. Ramos , T. Makiuchi , T. Kikkawa , S. Daimon , K. Oyanagi , E. Saitoh
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