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Institution

École normale supérieure de Cachan

EducationCachan, Île-de-France, France
About: École normale supérieure de Cachan is a education organization based out in Cachan, Île-de-France, France. It is known for research contribution in the topics: Decidability & Finite element method. The organization has 2717 authors who have published 5585 publications receiving 175925 citations.


Papers
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Journal ArticleDOI
20 Jun 2014-Science
TL;DR: Using a magnetic microscope based on a single nitrogen-vacancy (NV) center in diamond, domain-wall imaging on a 1-nanometer-thick ferromagnetic nanowire is reported and Barkhausen jumps between two pinning sites spaced 50 nanometers apart are directly observed.
Abstract: The control of domain walls in magnetic wires underpins an emerging class of spintronic devices. Propagation of these walls in imperfect media requires defects that pin them to be characterized on the nanoscale. Using a magnetic microscope based on a single nitrogen-vacancy (NV) center in diamond, we report domain-wall imaging on a 1-nanometer-thick ferromagnetic nanowire and directly observe Barkhausen jumps between two pinning sites spaced 50 nanometers apart. We further demonstrate in situ laser control of these jumps, which allows us to drag the domain wall along the wire and map the pinning landscape. Our work demonstrates the potential of NV microscopy to study magnetic nano-objects in complex media, whereas controlling domain walls with laser light may find an application in spintronic devices.

211 citations

Journal ArticleDOI
TL;DR: In this paper, the authors considered global solutions of the nonlinear Schrodinger equation and proved asymptotic completeness of the global solution for α ∈ R and β ∈ 0.
Abstract: We consider global solutions of the nonlinear Schrodinger equation $$iu_t + \Delta u = \lambda |u|^\alpha u, in R^N ,$$ (NLS) where λ∈R and\(0 0, we prove asymptotic completeness for\(\alpha _0 \leqq \alpha< \frac{4}{{N - 2}}\).

210 citations

Journal ArticleDOI
TL;DR: In this paper, the longitudinal relaxation time of the electron spin associated with single nitrogen-vacancy (NV) defects hosted in nanodiamonds (NDs) was investigated.
Abstract: We report an experimental study of the longitudinal relaxation time (${T}_{1}$) of the electron spin associated with single nitrogen-vacancy (NV) defects hosted in nanodiamonds (NDs). We first show that ${T}_{1}$ decreases over three orders of magnitude when the ND size is reduced from 100 to 10 nm owing to the interaction of the NV electron spin with a bath of paramagnetic centers lying on the ND surface. We next tune the magnetic environment by decorating the ND surface with Gd${}^{3+}$ ions and observe an efficient ${T}_{1}$ quenching, which demonstrates magnetic noise sensing with a single electron spin. We estimate a sensitivity down to $\ensuremath{\approx}14$ electron spins detected within 10 s, using a single NV defect hosted in a 10-nm-size ND. These results pave the way towards ${T}_{1}$-based nanoscale imaging of the spin density in biological samples.

209 citations

Journal ArticleDOI
TL;DR: In this article, the authors considered the Kolmogorov equation associated with the stochastic Navier-Stokes equations in 3D and proved existence of a solution in the strict or mild sense.

209 citations

Journal ArticleDOI
TL;DR: In this paper, the most recent developments in the above mentioned fields of fluorescence spectroelectrochemistry, coupled detection of fluorescence and electrochemical signals and design of molecules and materials exhibiting electrofluorochromic properties are reviewed.
Abstract: Electrofluorochromism deals with electrochemical monitoring of luminescence features There are several reasons to be interested in that field The first one is the design of displays working in a similar way to electrochromic devices, substituting colors due to absorption with colors due to emission, thus producing much higher brilliance This requires designing smart molecules and materials, which are likely to exhibit reversible switch of emission by controlling their redox state There are also a lot of analytical applications, especially in biochemical issues, where in situ dual detection of electrochemical and fluorescence signals can lead to very sensitive and selective biosensors To achieve this goal, instrumental developments are necessary, involving, among others, beyond diffraction limit and single molecule detection optical techniques This paper reviews the most recent developments in the above mentioned fields of fluorescence spectroelectrochemistry, coupled detection of fluorescence and electrochemical signals and design of molecules and materials exhibiting electrofluorochromic properties The first part describes the required features for molecular systems to exhibit a reversible switch in their luminescence properties according to a change in their redox state Examples among organic and organometallic dyes and redox labelled fluorophores are listed The second part focuses on the instrumental development in fluorescence spectroelectrochemistry and recent coupling of electrochemical techniques with fluorescence microscopy Finally, some applications and devices are presented in the last part of this review This should give an overview of this emerging research field at the interface between physics, chemistry and biology

203 citations


Authors

Showing all 2722 results

NameH-indexPapersCitations
Shi Xue Dou122202874031
Olivier Hermine111102643779
John R. Reynolds10560750027
Shaul Mukamel95103040478
Tomás Torres8862528223
Ifor D. W. Samuel7460523151
Serge Abiteboul7327824576
Stéphane Roux6862719123
Zeger Debyser6740416531
Louis Nadjo6426412596
Praveen K. Thallapally6419012110
Andrew Travers6319313537
Shoji Takeuchi6369214704
Bineta Keita6327412053
Yves Mély6236813478
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Performance
Metrics
No. of papers from the Institution in previous years
YearPapers
20233
202222
202121
202029
201958
201879