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We have studied the quantum oscillations of the conductance for arrays of connected mesoscopic metallic rings, in the presence of an external magnetic field. Several geometries have been considered: a linear array of rings connected with…

Disordered Systems and Neural Networks · Physics 2009-12-26 Christophe Texier , Pierre Delplace , 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

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 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

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

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

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

Quantum interference phenomena in the conductivity of mesoscopic ferromagnets are considered, particularly with regard to the effects of geometric phases acquired by electrons propagating through regions of spatially varying magnetization…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yuli Lyanda-Geller , I. L. Aleiner , Paul M. Goldbart

Decoherence is an undesirable, but ubiquitous phenomenon in quantum systems. Here, we study the effect of partial decoherence, induced via a B\"uttiker probe, on two-terminal electronic transport across one-dimensional quantum wires and…

Mesoscale and Nanoscale Physics · Physics 2024-10-15 Abhiram Soori , Udit Khanna

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

The transport properties of interacting electrons for which the spin degree of freedom is taken into account are numerically studied for small two dimensional diffusive clusters. On-site electron-electron interactions tend to delocalize the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Richard Berkovits , Jan W. Kantelhardt

Weak localization corrections to conductivity of ferromagnetic systems are studied theoretically in the case when spin-orbit interaction plays a significant role. Two cases are analyzed in detail: (i) the case when the spin-orbit…

Materials Science · Physics 2009-11-07 V. K. Dugaev , P. Bruno , J. Barnas

The influence of the interference of electron waves, which were scattered by single impurities, on nonlinear quantum conductance of metallic microconstrictions (as was recently investigated experimentally) is studied theoretically. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Namiranian , Yu. A. Kolesnichenko , A. N. Omelyanchouk

We perform a brief but critical review of the Landauer picture of transport that clarifies how decoherence appears in this approach. On this basis, we present different models that allow the study of the coherent and decoherent effects of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. M. Pastawski , L. E. F. Foa Torres , Ernesto Medina

We present a nonperturbative approach which allows to evaluate the weak localization correction to the conductivity of disordered conductors in the presence of interactions. The effect of the electron-electron interaction on the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. D. Zaikin , D. S. Golubev

This article studies the decoherence induced on a system of two qubits by local interactions with a spin chain with nontrivial internal dynamics (governed by an XY Hamiltonian). Special attention is payed to the transition between two…

Quantum Physics · Physics 2013-05-29 Cecilia Cormick , Juan Pablo Paz

We study the influence of the non-homogeneity of a magnetization field on the behaviour of interacting electrons in a quantum dot. In particular we investigate the magnetotransport properties when the dot is weakly coupled to two…

Disordered Systems and Neural Networks · Physics 2011-11-17 N. Sedlmayr , J. Berakdar

We consider a metallic wire coupled to two metallic electrodes via two junctions placed nearby. A bias voltage applied to one of such junctions alters the electron distribution function in the wire in the vicinity of another junction thus…

Strongly Correlated Electrons · Physics 2012-03-09 D. S. Golubev , A. D. Zaikin

We study the magnetoconductance of electrons through a mesoscopic channel with antidots. Through quantum interference effects, the conductance maxima as functions of the magnetic field strength and the antidot radius (regulated by the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. Blaschke , M. Brack
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