Movimiento de paredes de dominio magnético en nanohilos con defectos controlados

La investigación realizada en este trabajo de tesis se ha centrado en el estudio de la generación, anclaje y desenganche de paredes de dominio magnético en nanohilos de permalloy con defectos controlados. Las últimas tecnologías de nanofabricación han abierto importantes líneas de investigación centradas en el estudio del movimiento de paredes de dominio magnético, gracias a su potencial aplicación en memorias magnéticas del futuro. En el 2004, Stuart Parkin de IBM introdujo un concepto innovador, el dispositivo “Racetrack”, basado en un nanohilo ferromagnético donde los dominios de imanación representan los "bits" de información. La frontera entre dominios, ie pared magnética, se moverían en una situación ideal por medio de transferencia de espín de una corriente polarizada. Se anclan en determinadas posiciones gracias a pequeños defectos o constricciones de tamaño nanométrico fabricados por litografía electrónica. El éxito de esta idea se basa en la generación, anclaje y desenganche de las paredes de dominio de forma controlada y repetitiva, tanto para la lectura como para la escritura de los bits de información. Slonczewski en 1994 muestra que la corriente polarizada de espín puede transferir momento magnético a la imanación local y así mover paredes por transferencia de espín y no por el campo creado por la corriente. Desde entonces muchos grupos de investigación de todo el mundo trabajan en optimizar las condiciones de transferencia de espín para mover paredes de dominio. La fracción de electrones polarizados que viaja en un hilo ferromagnético es considerablemente pequeña, así hoy por hoy la corriente necesaria para mover una pared magnética por transferencia de espín es superior a 1 107 A/cm2. Una densidad de corriente tan elevada no sólo tiene como consecuencia una importante degradación del dispositivo sino también se observan importantes efectos relacionados con el calentamiento por efecto Joule inducido por la corriente. Otro de los problemas científico - tecnológicos a resolver es la diversidad de paredes de dominio magnético ancladas en el defecto. Los diferentes tipos de pared anclados en el defecto, su quiralidad o el campo o corriente necesarios para desenganchar la pared pueden variar dependiendo si el defecto posee dimensiones ligeramente diferentes o si la pared se ancla con un método distinto. Además, existe una componente estocástica presente tanto en la nucleación como en el proceso de anclaje y desenganche que por un lado puede ser debido a la naturaleza de la pared que viaja por el hilo a una determinada temperatura distinta de cero, así como a defectos inevitables en el proceso de fabricación. Esto constituye un gran inconveniente dado que según el tipo de pared es necesario aplicar distintos valores de corriente y/o campo para desenganchar la pared del defecto. Como se menciona anteriormente, para realizar de forma eficaz la lectura y escritura de los bits de información, es necesaria la inyección, anclaje y desenganche forma controlada y repetitiva. Esto implica generar, anclar y desenganchar las paredes de dominio siempre en las mismas condiciones, ie siempre a la misma corriente o campo aplicado. Por ello, en el primer capítulo de resultados de esta tesis estudiamos el anclaje y desenganche de paredes de dominio en defectos de seis formas distintas, cada uno, de dos profundidades diferentes. Hemos realizado un análisis estadístico en diferentes hilos, donde hemos estudiado la probabilidad de anclaje cada tipo de defecto y la dispersión en el valor de campo magnético aplicado necesario para desenganchar la pared. Luego, continuamos con el estudio de la nucleación de las paredes de dominio magnético con pulsos de corriente a través una linea adyacente al nanohilo. Estudiamos defectos de tres formas distintas e identificamos, en función del valor de campo magnético aplicado, los distintos tipos de paredes de dominio anclados en cada uno de ellos. Además, con la ayuda de este método de inyección que es rápido y eficaz, hemos sido capaces de generar y anclar un único tipo de pared minimizando el comportamiento estocástico de la pared mencionado anteriormente. En estas condiciones óptimas, hemos estudiado el desenganche de las paredes de dominio por medio de corriente polarizada en espín, donde hemos conseguido desenganchar la pared de forma controlada y repetitiva siempre para los mismos valores de corriente y campo magnético aplicados. Además, aplicando pulsos de corriente en distintas direcciones, estudiamos en base a su diferencia, la contribución térmica debido al efecto Joule. Los resultados obtenidos representan un importante avance hacia la explotación práctica de este tipo de dispositivos. ABSTRACT The research activity of this thesis was focused on the nucleation, pinning and depinning of magnetic domain walls (DWs) in notched permalloy nanowires. The access to nanofabrication techniques has boosted the number of applications based on magnetic domain walls (DWs) like memory devices. In 2004, Stuart Parkin at IBM, conceived an innovative concept, the “racetrack memory” based on a ferromagnetic nanowire were the magnetic domains constitute the “bits” of information. The frontier between those magnetic domains, ie magnetic domain wall, will move ideally assisted by a spin polarized current. DWs will pin at certain positions due to artificially created pinning sites or “notches” fabricated with ebeam lithography. The success of this idea relies on the careful and predictable control on DW nucleation and a defined pinning-depinning process in order to read and write the bits of information. Sloncsewski in 1994 shows that a spin polarized current can transfer magnetic moment to the local magnetization to move the DWs instead of the magnetic field created by the current. Since then many research groups worldwide have been working on optimizing the conditions for the current induced DW motion due to the spin transfer effect. The fraction of spin polarized electrons traveling through a ferromagnetic nanowire is considerably small, so nowadays the current density required to move a DW by STT exceeds 1 107 A/cm2. A high current density not only can produce a significant degradation of the device but also important effects related to Joule heating were also observed . There are other scientific and technological issues to solve regarding the diversity of DWs states pinned at the notch. The types of DWs pinned, their chirality or their characteristic depinning current or field, may change if the notch has slightly different dimensions, the stripe has different thickness or even if the DW is pinned by a different procedure. Additionally, there is a stochastic component in both the injection of the DW and in its pinning-depinning process, which may be partly intrinsic to the nature of the travelling DW at a non-zero temperature and partly due to the unavoidable defects introduced during the nano-fabrication process. This constitutes an important inconvenient because depending on the DW type different values of current of magnetic field need to be applied in order to depin a DW from the notch. As mentioned earlier, in order to write and read the bits of information accurately, a controlled reproducible and predictable pinning- depinning process is required. This implies to nucleate, pin and depin always at the same applied magnetic field or current. Therefore, in the first chapter of this thesis we studied the pinning and depinning of DW in six different notch shapes and two depths. An statistical analysis was conducted in order to determine which notch type performed best in terms of pinning probability and the dispersion measured in the magnetic field necessary to depin the magnetic DWs. Then, we continued studying the nucleation of DWs with nanosecond current pulses by an adjacent conductive stripe. We studied the conditions for DW injection that allow a selective pinning of the different types of DWs in Permalloy nanostripes with 3 different notch shapes. Furthermore, with this injection method, which has proven to be fast and reliable, we manage to nucleate only one type of DW avoiding its stochastic behavior mentioned earlier. Having achieved this optimized conditions we studied current induced depinning where we also achieved a controlled and reproducible depinning process at always the same applied current and magnetic field. Additionally, changing the pulse polarity we studied the joule heating contribution in a current induced depinning process. The results obtained represent an important step towards the practical exploitation of these devices.

Two auxin-responsive domains interact positively to induce expression of the early indoleacetic acid-inducible gene PS-IAA4/5.

The plant growth hormone indole-3-acetic acid (IAA) transcriptionally activates expression of several genes in plants. We have previously identified a 164-bp promoter region (-318 to -154) in the PS-IAA4/5 gene that confers IAA inducibility. Linker-scanning mutagenesis across the region has identified two positive domains: domain A (48 bp; -203 to -156) and domain B (44 bp; -299 to -256), responsible for transcriptional activation of PS-IAA4/5 by IAA. Domain A contains the highly conserved sequence 5'-TGTCCCAT-3' found among various IAA-inducible genes and behaves as the major auxin-responsive element. Domain B functions as an enhancer element which may also contain a less efficient auxin-responsive element. The two domains act cooperatively to stimulate transcription; however, tetramerization of domain A or B compensates for the loss of A or B function. The two domains can also mediate IAA-induced transcription from the heterologous cauliflower mosaic virus 35S promoter (-73 to +1). In vivo competition experiments with icosamers of domain A or B show that the domains interact specifically and with different affinities to low abundance, positive transcription factor(s). A model for transcriptional activation of PS-IAA4/5 by IAA is discussed.

Electrical properties of La-graded heterostructure of Pb1?xLaxTiO3 thin films

La-graded heterostructure films were prepared by sol-gel technique on platinum substrates and electrical properties of these films were compared with those of conventional thin films of similar compositions. X-ray diffraction results indicate the pure perovskite polycrystalline structure of these films. Atomic Force Microscopy analysis revealed a finer grain size and relatively lower surface roughness. Relatively higher values of Pm and Pr (69 and 38 ?C cm?2, respectively) and excellent dielectric properties with lower loss (K=1900, tan ?=0.035 at 100 kHz) were observed for La-graded heterostructure films. Also lower leakage current density (not, vert, similar2.5 nA cm?2) and a higher onset field (not, vert, similar50 kV cm?1) of space charge conduction indicated higher breakdown strength and good leakage current characteristics. The ac electric field dependence of the permittivity at sub-switching fields was analyzed in the framework of the Rayleigh dynamics of domain walls. The estimated irreversible domain wall displacement contribution to the total dielectric permittivity was 17 and 9% for conventional 15 at.% La doped PbTiO3 and La-graded heterostructure films, respectively. The improved dielectric and polarization behavior of La-graded heterostructure films may be attributed to homogenous dopant distribution compared to the conventional 15 at.% La doped PbTiO3 films.

Re-analysis of cryoEM data on HCV IRES bound to 40S subunit of human ribosome integrated with recent structural information suggests new contact regions between ribosomal proteins and HCV RNA

In this study, we combine available high resolution structural information on eukaryotic ribosomes with low resolution cryo-EM data on the Hepatitis C Viral RNA (IRES) human ribosome complex. Aided further by the prediction of RNA-protein interactions and restrained docking studies, we gain insights on their interaction at the residue level. We identified the components involved at the major and minor contact regions, and propose that there are energetically favorable local interactions between 40S ribosomal proteins and IRES domains. Domain II of the IRES interacts with ribosomal proteins S5 and S25 while the pseudoknot and the downstream domain IV region bind to ribosomal proteins S26, S28 and S5. We also provide support using UV cross-linking studies to validate our proposition of interaction between the S5 and IRES domains II and IV. We found that domain IIIe makes contact with the ribosomal protein S3a (S1e). Our model also suggests that the ribosomal protein S27 interacts with domain IIIc while S7 has a weak contact with a single base RNA bulge between junction IIIabc and IIId. The interacting residues are highly conserved among mammalian homologs while IRES RNA bases involved in contact do not show strict conservation. IRES RNA binding sites for S25 and S3a show the best conservation among related viral IRESs. The new contacts identified between ribosomal proteins and RNA are consistent with previous independent studies on RNA-binding properties of ribosomal proteins reported in literature, though information at the residue level is not available in previous studies.

Ultrafast dynamics of four-state magnetization reversal in (Ga,Mn)As

The ultrafast dynamics of in-plane four-state magnetization reversal from compressively strained (Ga,Mn)As film was investigated by magneto-optical Kerr rotation measurement. The magnetization reversal signal was dramatically suppressed upon pumping, and recovered slowly with time evolution. The low switching field H-c1 increased abruptly from 30 to 108 G on the first several picoseconds and recovered back to the value before optical pumping within about 500 ps, whereas the high switching field H-c2 did not change obviously upon pumping, implying a domain-wall nucleation/propagation at low fields and coherent magnetization rotation at high fields in the magnetization reversal process.

Magnetic ordering and irreversible magnetization between ZFC and FC states in RCo5Ga7 compounds

The magnetic properties of RCo5Ga7 (R = Y, Tb, Dy, Ho and Er) compounds which crystallize in the ScFe6Ga6-type structure have been studied. The compounds with R, Y, Tb, Dy, Ho and Er display behaviour similar to semiconductors. The Co transition metal sublattice is ferrimagnetic with a very low spontaneous magnetization. The ferrimagnetic ordering observed for R = Y, Tb, Dy, Ho and Er is due to the transition metal sublattice with transition temperatures at about 295 K. At low temperatures, the magnetic ordering for R Tb, Dy, Ho and Er is due to the rare-earth sublattice, which is ferromagnetic with a Curie temperature below 5 K. By fitting the linear part of the inverse magnetization, the effective magnetic moment of the R ion is found to be close to its expected theoretical value, with paramagnetic Curie temperatures below 5 K. Due to the paramagnetic nature of the R sublattice above 60 K, the ferrimagnetic ordering temperature of the Co sublattice does not vary with the type of rare-earth ion. The irreversibility of the magnetization of YCo5Ga7, as measured in zero-field cooled (ZFC) and field cooled (FC) states, is attributed to movement of domain walls. Application of a large enough applied field completes the movement of the domain wall from the low-temperature to the high-temperature one at 5 K. With a very low magnetic field 100 Oe, the difference between the ZFC and the FC shrinks. (C) 2004 Elsevier B.V. All rights reserved.

The rfaE gene from Escherichia coli encodes a bifunctional protein involved in biosynthesis of the lipopolysaccharide core precursor ADP-L-glycero-D-manno-heptose

The intermediate steps in the biosynthesis of the ADP-L-glycero-D-manno-heptose precursor of inner core lipopolysaccharide (LPS) are not yet elucidated. We isolated a mini-Tn10 insertion that confers a heptoseless LPS phenotype in the chromosome of Escherichia coli K-12. The mutation was in a gene homologous to the previously reported rfaE gene from Haemophilus influenzae. The E. coli rfaE gene was cloned into an expression vector, and an in vitro transcription-translation experiment revealed a polypeptide of approximately 55 kDa in mass. Comparisons of the predicted amino acid sequence with other proteins in the database showed the presence of two clearly separate domains. Domain I (amino acids 1 to 318) shared structural features with members of the ribokinase family, while Domain II (amino acids 344 to 477) had conserved features of the cytidylyltransferase superfamily that includes the aut gene product of Ralstonia eutrophus. Each domain was expressed individually, demonstrating that only Domain I could complement the rfaE::Tn10 mutation in E. coli, as well as the rfaE543 mutation of Salmonella enterica SL1102. DNA sequencing of the rfaE543 gene revealed that Domain I had one amino acid substitution and a 12-bp in-frame deletion resulting in the loss of four amino acids, while Domain II remained intact. We also demonstrated that the aut::Tn5 mutation in R. eutrophus is associated with heptoseless LPS, and this phenotype was restored following the introduction of a plasmid expressing the E. coli Domain II. Thus, both domains of rfaE are functionally different and genetically separable confirming that the encoded protein is bifunctional. We propose that Domain I is involved in the synthesis of D-glycero-D-manno-heptose 1-phosphate, whereas Domain II catalyzes the ADP transfer to form ADP-D-glycero-D-manno-heptose.

Temperature controlled motion of an antiferromagnet- ferromagnet interface within a dopant-graded FeRh epilayer

Chemically ordered B2 FeRh exhibits a remarkable antiferromagnetic-ferromagnetic phase transition that is first order. It thus shows phase coexistence, usually by proceeding though nucleation at random defect sites followed by propagation of phase boundary domain walls. The transition occurs at a temperature that can be varied by doping other metals onto the Rh site. We have taken advantage of this to yield control over the transition process by preparing an epilayer with oppositely directed doping gradients of Pd and Ir throughout its height, yielding a gradual transition that occurs between 350 K and 500 K. As the sample is heated, a horizontal antiferromagnetic-ferromagnetic phase boundary domain wall moves gradually up through the layer, its position controlled by the temperature. This mobile magnetic domain wall affects the magnetisation and resistivity of the layer in a way that can be controlled, and hence exploited, for novel device applications.

Planar Topological Defects in Unconventional Superconductors

In this work, we consider the properties of planar topological defects in unconventional superconductors. Specifically, we calculate microscopically the interaction energy of domain walls separating degenerate ground states in a chiral p-wave fermionic superfluid. The interaction is mediated by the quasiparticles experiencing Andreev scattering at the domain walls. As a by-product, we derive a useful general expression for the free energy of an arbitrary nonuniform texture of the order parameter in terms of the quasiparticle scattering matrix. The thesis is structured as follows. We begin with a historical review of the theories of superconductivity (Sec. 1.1), which led the way to the celebrated Bardeen-Cooper- Schrieffer (BCS) theory (Sec. 1.3). Then we proceed to the treatment of superconductors with so-called "unconventional pairing" in Sec. 1.4, and in Sec. 1.5 we introduce the specific case of chiral p-wave superconductivity. After introducing in Sec. 2 the domain wall (DW) model that will be considered throughout the work, we derive the Bogoliubov-de Gennes (BdG) equations in Sec. 3.1, which determine the quasiparticle excitation spectrum for a nonuniform superconductor. In this work, we use the semiclassical (Andreev) approximation, and solve the Andreev equations (which are a particular case of the BdG equations) in Sec. 4 to determine the quasiparticle spectrum for both the single- and two-DW textures. The Andreev equations are derived in Sec. 3.2, and the formal properties of the Andreev scattering coefficients are discussed in the following subsection. In Sec. 5, we use the transfer matrix method to relate the interaction energy of the DWs to the scattering matrix of the Bogoliubov quasiparticles. This facilitates the derivation of an analytical expression for the interaction energy between the two DWs in Sec. 5.3. Finally, to illustrate the general applicability our method, we apply it in Sec. 6 to the interaction between phase solitons in a two-band s-wave superconductor.

Corrélats neuronaux sous-jacents aux expressions émotionnelles : une comparaison entre musique, voix et visage

Cette thèse a pour objectif de comparer les expressions émotionnelles évoquées par la musique, la voix (expressions non-linguistiques) et le visage sur les plans comportemental et neuronal. Plus précisément, le but est de bénéficier de l’indéniable pouvoir émotionnel de la musique afin de raffiner notre compréhension des théories et des modèles actuels associés au traitement émotionnel. Qui plus est, il est possible que cette disposition surprenante de la musique pour évoquer des émotions soit issue de sa capacité à s’immiscer dans les circuits neuronaux dédiés à la voix, bien que les évidences à cet effet demeurent éparses pour le moment. Une telle comparaison peut potentiellement permettre d’élucider, en partie, la nature des émotions musicales. Pour ce faire, différentes études ont été réalisées et sont ici présentées dans deux articles distincts. Les études présentées dans le premier article ont comparé, sur le plan comportemental, les effets d’expressions émotionnelles sur la mémoire entre les domaines musical et vocal (non-linguistique). Les résultats ont révélé un avantage systématique en mémoire pour la peur dans les deux domaines. Aussi, une corrélation dans la performance individuelle en mémoire a été trouvée entre les expressions de peur musicales et vocales. Ces résultats sont donc cohérents avec l’hypothèse d’un traitement perceptif similaire entre la musique et la voix. Dans le deuxième article, les corrélats neuronaux associés à la perception d’expressions émotionnelles évoquées par la musique, la voix et le visage ont été directement comparés en imagerie par résonnance magnétique fonctionnelle (IRMf). Une augmentation significative du signal « Blood Oxygen Level Dependent » (BOLD) a été trouvée dans l’amygdale (et à l’insula postérieure) en réponse à la peur, parmi l’ensemble des domaines et des modalités à l’étude. Une corrélation dans la réponse BOLD individuelle de l’amygdale, entre le traitement musical et vocal, a aussi été mise en évidence, suggérant à nouveau des similarités entre les deux domaines. En outre, des régions spécifiques à chaque domaine ont été relevées. Notamment, le gyrus fusiforme (FG/FFA) pour les expressions du visage, le sulcus temporal supérieur (STS) pour les expressions vocales ainsi qu’une portion antérieure du gyrus temporal supérieur (STG) particulièrement sensible aux expressions musicales (peur et joie), dont la réponse s’est avérée modulée par l’intensité des stimuli. Mis ensemble, ces résultats révèlent des similarités mais aussi des différences dans le traitement d’expressions émotionnelles véhiculées par les modalités visuelle et auditive, de même que différents domaines dans la modalité auditive (musique et voix). Plus particulièrement, il appert que les expressions musicales et vocales partagent d’étroites similarités surtout en ce qui a trait au traitement de la peur. Ces données s’ajoutent aux connaissances actuelles quant au pouvoir émotionnel de la musique et contribuent à élucider les mécanismes perceptuels sous-jacents au traitement des émotions musicales. Par conséquent, ces résultats donnent aussi un appui important à l’utilisation de la musique dans l’étude des émotions qui pourra éventuellement contribuer au développement de potentielles interventions auprès de populations psychiatriques.

Désintégration du faux vide médiée par des kinks en 1+1 dimensions

Dans ce mémoire, on étudie la désintégration d’un faux vide, c’est-à-dire un vide qui est un minimum relatif d’un potentiel scalaire par effet tunnel. Des défauts topologiques en 1+1 dimension, appelés kinks, apparaissent lorsque le potentiel possède un minimum qui brise spontanément une symétrie discrète. En 3+1 dimensions, ces kinks deviennent des murs de domaine. Ils apparaissent par exemple dans les matériaux magnétiques en matière condensée. Un modèle à deux champs scalaires couplés sera étudié ainsi que les solutions aux équations du mouvement qui en découlent. Ce faisant, on analysera comment l’existence et l’énergie des solutions statiques dépend des paramètres du modèle. Un balayage numérique de l’espace des paramètres révèle que les solutions stables se trouvent entre les zones de dissociation, des régions dans l’espace des paramètres où les solutions stables n’existent plus. Le comportement des solutions instables dans les zones de dissociation peut être très différent selon la zone de dissociation dans laquelle une solution se trouve. Le potentiel consiste, dans un premier temps, en un polynôme d’ordre six, auquel on y rajoute, dans un deuxième temps, un polynôme quartique multiplié par un terme de couplage, et est choisi tel que les extrémités du kink soient à des faux vides distincts. Le taux de désintégration a été estimé par une approximation semi-classique pour montrer l’impact des défauts topologiques sur la stabilité du faux vide. Le projet consiste à déterminer les conditions qui permettent aux kinks de catalyser la désintégration du faux vide. Il appert qu’on a trouvé une expression pour déterminer la densité critique de kinks et qu’on comprend ce qui se passe avec la plupart des termes.

Chaos in resonant-tunneling superlattices

Spatiotemporal chaos is predicted to occur in n-doped semiconductor superlattices with sequential resonant tunneling as their main charge transport mechanism. Under dc voltage bias, undamped time-dependent oscillations of the current (due to the motion and recycling of electric field domain walls) have been observed in recent experiments. Chaos is the result of forcing this natural oscillation by means of an appropriate external microwave signal.

Synthesis of L1(0) Fe-Pd films by electrodeposition and thermal annealing

Fe-Pd alloy films have been prepared by electrochemical deposition from an alkaline electrolyte containing Fe sulfate, Pd chloride and 5-sulfosalicylic acid onto polycrystalline titanium substrates. The as-deposited films were nanocrystalline and magnetically soft (coercivity similar to 25 Oe). L1(0) Fe-Pd films with a (111) preferred orientation were obtained by post-deposition thermal annealing of films with composition about 37 at% Fe in an (Ar + 5% H-2) gas flow at 500 degrees C. Such films exhibit hard magnetic properties, with a coercivity up to 1880 Oe, and a slightly anisotropic magnetic response, with a larger in-plane remanence. Preliminary magnetic investigations support magnetization switching through pinning of domain walls. (c) 2008 Elsevier B.V. All rights reserved.

Propriedades magnéticas de nanopartículas de ferro em substratos antiferromagnéticos

The effect of finite size on the magnetic properties of ferromagnetic particles systems is a recurrent subject. One of the aspects wide investigated is the superparamagnetic limit where the temperature destroys the magnetic order of ferromagnetic small particles. Above the block temperature the thermal value of the magnetic moment of the particle vanishes, due to thermal fluctuations. The value of the blocking temperature diminishes when the size of the particle is reduced, reflecting the reduction of the anisotropy energy barrier between the uniform states along the uniaxial axis. The increasing demand for high density magnetic media has recently attracted great research interest in periodic arrangements of nanometric ferromagnetics particles, approach in the superparamagnetic limit. An interesting conjecture is the possibility of stabilization of the magnetic order of small ferromagnetic particles (F) by interface coupling with antiferromagnetic (AF) substrate. These F/AF systems may also help to elucidate some details of the effect of exchange bias, because the effect of interface roughness and the paper of domain walls, either in the substrate or the particle, are significantly reduced. We investigate the magnetic phases of small ferromagnetic particles on a antiferromagnetic substrate. We use a self-consistent local field method, incorporating the interface field and the dipole interaction between the spins of the ferromagnetic particle. Our results indicate that increasing the area of the interface favors the formation of the uniform state. Howere above a critical height value appears a state non-uniform is formed where the spins of in the particle s free surface are rotated with respect to the interface spins direction. We discuss the impact of the competition between the dipolar and interface field on the magnetic charge, that controls the field of flux leakage of the particle, and on the format of the hysteresis curves. Our results indicate that the liquid magnetic charge is not a monotonically increasing function of the height of the particle. The exchange bias may display anomalous features, induced for the dipolar field of the spins near the F/AF interface

Fermions bounded by kinks of false vacuum models

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)