Influence of de Gennes boundary conditions on the charge distributions of the Meissner state and the single-vortex state in thin mesoscopic rings

2006 ◽  
Vol 74 (1) ◽  
Author(s):  
Bao-He Zhu ◽  
Shi-Ping Zhou ◽  
Yao-Ming Shi ◽  
Guo-Qiao Zha ◽  
Kui Yang
2020 ◽  
Author(s):  
Lisa Tauxe ◽  
Christeanne Santos ◽  
Xiang Zhao ◽  
Andrew Roberts

<p>Néel theory (doi: 10.1080/0001873550010120 ) predicts that natural remanent magnetizations (NRMs) of thermal origin will be nearly linearly related to the magnetic field in which they are acquired for field strenghts as low as the Earth's. This makes it in principle possible to estimate the strength of ancient magnetic fields. In practice, however, recovering the ancient field strength is complicated. The simple theory only pertains to uniformly magnetized (single domain, SD particles). While SD theory predicts that a magnetization acquired at a temperature T should be demagnetized by zero-field reheating to T, yet failure of this “reciprocity” requirement has long been observed and the causes and consequences for grains with no domain walls are unknown. Recent experiments (Shaar and Tauxe, doi: 10.1073/pnas.1507986112 and Santos and Tauxe, doi:10.1029/2018GC007946) have demonstrated that, in contrast to the stability of SD remanences over time, the remanence in many paleomagnetic samples typically used in paleointensity experiments are unstable, exhibiting an "aging" effect in which the unblocking temperature spectrum changes over only a few years.  This behavior is completely unexpected from theory. Solving these mysteries is key to cracking the problem of paleointensity estimation. In this presentation we will demonstrate that it is a shift in unblocking temperatures observed over even relatively short time intervals (two years) in certain samples that leads to the failure of reciprocity which in turn limits the ability to acquire accurate and precise estimates of the ancient magnetic field. From rock magnetic experiments (xFORCs) it seems likely that magnetic grains larger than the highly stable single vortex state are the source of the non-ideal behavior. This non-ideal behavior which leads to differences between known and estimated fields that can be rather large (up to 10 μT) for individual specimens, does appear to lead to a bias in field estimates.  It is unclear how this behavior can be compensated for using the most common paleointensity estimation methods.   </p>


2021 ◽  
Author(s):  
José Devienne ◽  
Thomas Berndt ◽  
Wyn Williams

<p></p><div> <div> <div>The cloudy zone (CZ), an intergrowth structure of Fe-rich and Ni-rich phases that forms during slow cooling of iron meteorites are potential recorders of  their parent body’s thermal and magnetic history. The ability of the cloudy zone’s principal magnetic minerals, taenite and tetrataenite, to reliably record ancient magnetic fields from the early solar system has, however, insufficiently been investigated. In this work we performed a series of micromagnetic simulations in order to assess the magnetic stability of taenite grains. Micromagnetic simulations allow to investigate the changes in the magnetic state in taenite as a function of the grain size: in ellipsoidal grains below 68 nm (equivalent sphere volume diameter, ESVD) a single domain state dominates.  At 68 nm (ESVD) a “flowering” state starts, and further increase in size (> 75 nm) gives rise to a single vortex state. Contrary to common conception, theoretical evaluation of relaxation times for taenite grains based on micromagnetics leads to values that exceed the age of solar system, which makes taenite, not just its ordered equivalent tetrataenite, a reliable paleomagnetic recorder.</div> </div> </div>


2019 ◽  
Vol 224 ◽  
pp. 02007
Author(s):  
V.A. Fedirko ◽  
S.V. Polyakov ◽  
A.L. Kasatkin ◽  
M.V. Fedirko

We report a numerical modeling of single vortex depinning and its subsequent dynamics in HTS film with extended linear defects under the influence of the transport current. Numerical simulation of stable pinned vortex state and its escape from a linear defect has been performed. The non-stationary dynamics of vortex escape has been investigated and time-dependent solution for vortex displacement from the defect has been obtained. The delay effect in vortex escape process has been studied and the time delay has been estimated. The impact of processes being studied on electrodynamic properties of a superconductor has also been discussed. The dynamics of vortex escape from columnar pinning site described in the present work is important both for understanding of vortex dynamics and applying high-Tc superconductors with columnar defects.


2016 ◽  
Vol 414 ◽  
pp. 158-167 ◽  
Author(s):  
M. Alikhani ◽  
A. Ramazani ◽  
M. Almasi Kashi ◽  
S. Samanifar ◽  
A.H. Montazer

2003 ◽  
Vol 17 (27n28) ◽  
pp. 1445-1452 ◽  
Author(s):  
L. ZHAO ◽  
X. G. QIU ◽  
B. R. ZHAO

The surface superconductivity of a mesoscopic superconducting cylinder in an external parallel magnetic field is discussed within the framework of the linearized Ginzburg–Landau equation under different boundary conditions. For the superconductor/insulator interface, our calculations give the corrugation-like phase boundary H c3 (T), with oscillating ripples as a result of the switching of the "giant vortex state" wave function between different angular quantum number L. The tangent for the linear background of the phase boundary H c3 (T) is about 1.7 times H c2 (T), consistent with the well-known result in bulk surface superconductivity. For the superconductor/normal-metal interface, surface superconductivity disappears, accompanied by a decrease in the superconducting transition temperature T c (H=0).


TecnoLógicas ◽  
2019 ◽  
Vol 22 (45) ◽  
pp. 1-7 ◽  
Author(s):  
José José Barba-Ortega ◽  
Jesús D. González ◽  
Miryam Rincón-Joya

The Time-dependent Ginzburg–Landau model (TDGLM) is a robust tool widely used to analyze the magnetization of the single-vortex state of a mesoscopic superconducting sample in presence of a magnetic field. The algorithm implemented in this work is applied to a square geometry surrounded by different kinds of materials simulated by deGennes extrapolation length . The inside of the sample remains at constant temperature , while its boundary remains at temperature . This temperature variation in the sample can be generated by a continuous laser wave injected into all the internal points, except for a thin surface layer in the boundary of the material. We found that the b value at , which mimics the magnetization curve for a corresponding , presents a linear dependence with the temperature. Therefore, although within the domain of validity TDGLM the parameter  is to be considered temperature-independent in the vicinity of the bulk critical temperature and that  depends on the density of states near the surface, we propose a simple dependence of using a TDGLM.


2010 ◽  
Vol 79 (8) ◽  
pp. 083708 ◽  
Author(s):  
Kazuhiko Deguchi ◽  
Eisuke Osaki ◽  
Seiko Ban ◽  
Nobuyuki Tamura ◽  
Yasuyuki Simura ◽  
...  

2003 ◽  
Vol 17 (18n20) ◽  
pp. 3423-3426
Author(s):  
P. Chowdhury ◽  
Heon-Jung Kim ◽  
Sung-Ik Lee

Experimental data on the field and time dependencies of the isothermal magnetization hysteresis for Tl 2 Ba 2 CaCu 2 O 8 single crystals with fields applied parallel to the c-axis are reported. From the M–H measurements, we determined the first peak field (Hp), the onset field of the second peak (Hon), the second peak field (Hsp), and the irreversible field (Hirr). Using these physical parameters, we have drawn a vortex phase diagram for this system. As observed in BSCCO(2212) system, below the irreversibility line, the H–T plane is divided into three distinct phases: the vortex lattice, the entangle phase, and the quasi 2D pancake vortex states in the temperature interval 30 K ≤T≤60 K .1 From the relaxation of remanent magnetization measurements, we have obtained the flux creep activation barrier U(j) as a function of j using the method developed by Malay et al. Within the collective pinning theory, it is argued that T≤30 K , the pancake vortices are pinned individually, while for T≥42 K , the vortex state is characterized by individually pinned 3D vortex strings. At T~30 K , a crossover from 2D pancake to 3D collectively pinned state was observed and shows a smooth crossover to 3D single vortex state at higher temperatures.


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