Phase Transition for the Ising Model on the Critical Lorentzian Triangulation

The ferromagnetic Ising model without external field on an infinite Lorentzian triangulation sampled from the uniform distribution is considered. We prove uniqueness of the Gibbs measure in the high temperature region and coexistence of at least two Gibbs measures at low temperature. The proofs are based on the disagreement percolation method and on a variant of the Peierls contour method. The critical temperature is shown to be constant a.s.

Circularly Polarized Photoluminescence as a Probe of Density of States in GaAs/AlGaAs Quantum Hall Bilayers

Polarized magnetophotoluminescence is employed to study the energies and occupancies of four lowest Landau levels in a couple quantum Hall GaAs/AlGaAs double quantum well. As a result, a magnetic field-induced redistribution of charge over the Landau levels manifesting to the continuous formation of the charge density wave and direct evidence for the symmetric-antisymmetric gap shrinkage at v = 3 are found. The observed interlayer charge exchange causes depolarization of the ferromagnetic ground state.

Dynamic symmetry loss of high-frequency hysteresis loops in single-domain particles with uniaxial anisotropy

Understanding how magnetic materials respond to rapidly varying magnetic fields, as in dynamic hysteresis loops, constitutes a complex and physically interesting problem. But in order to accomplish a thorough investigation, one must necessarily consider the effects of thermal fluctuations. Albeit being present in all real systems, these are seldom included in numerical studies. The notable exceptions are the Ising systems, which have been extensively studied in the past, but describe only one of the many mechanisms of magnetization reversal known to occur. In this paper we employ the Stochastic Landau-Lifshitz formalism to study high-frequency hysteresis loops of single-domain particles with uniaxial anisotropy at an arbitrary temperature. We show that in certain conditions the magnetic response may become predominantly out-of-phase and the loops may undergo a dynamic symmetry loss. This is found to be a direct consequence of the competing responses due to the thermal fluctuations and the gyroscopic motion of the magnetization. We have also found the magnetic behavior to be exceedingly sensitive to temperature variations, not only within the superparamagnetic-ferromagnetic transition range usually considered, but specially at even lower temperatures, where the bulk of interesting phenomena is seen to take place. (C) 2011 Elsevier B.V. All rights reserved.

Annealing effects on nanostructured gold-polymethylmethacrylate composites: Small-angle x-ray scattering analysis

Composites formed of a polymer-embedded layer of sub-10 nm gold nanoclusters were fabricated by very low energy (49 eV) gold ion implantation into polymethylmethacrylate. We used small angle x-ray scattering to investigate the structural properties of these metal-polymer composite layers that were fabricated at three different ion doses, both in their original form (as-implanted) and after annealing for 6 h well above the polymer glass transition temperature (150 degrees C). We show that annealing provides a simple means for modification of the structure of the composite by coarsening mechanisms, and thereby changes its properties. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4720464]

Digital magnetic heterostructures based on GaN using GGA-1/2 approach

We present ab-initio calculations of seven digital magnetic heterostructures, GaN delta-doped with V, Cr, Mn, Fe, Co, Ni, and Cu, forming two-dimensional systems. Only GaN delta-doped with V or Cr present a ferromagnetic ground state with high Curie temperatures. For both, to better describe the electronic properties, we used the GGA-1/2 approach. The ground state of GaN/Cr resulted in a two dimensional half-metal, with 100% spin polarization. For GaN/V, we obtained an insulating state: integer magnetic moment of 2.0 mu(B), a minority spin gap of 3.0 eV close to the gap of GaN, but a majority spin gap of 0.34 eV. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4751285]

Annealed Ising model on hierarchical structures: a transfer matrix approach.

Spin systems in the presence of disorder are described by two sets of degrees of freedom, associated with orientational (spin) and disorder variables, which may be characterized by two distinct relaxation times. Disordered spin models have been mostly investigated in the quenched regime, which is the usual situation in solid state physics, and in which the relaxation time of the disorder variables is much larger than the typical measurement times. In this quenched regime, disorder variables are fixed, and only the orientational variables are duly thermalized. Recent studies in the context of lattice statistical models for the phase diagrams of nematic liquid-crystalline systems have stimulated the interest of going beyond the quenched regime. The phase diagrams predicted by these calculations for a simple Maier-Saupe model turn out to be qualitative different from the quenched case if the two sets of degrees of freedom are allowed to reach thermal equilibrium during the experimental time, which is known as the fully annealed regime. In this work, we develop a transfer matrix formalism to investigate annealed disordered Ising models on two hierarchical structures, the diamond hierarchical lattice (DHL) and the Apollonian network (AN). The calculations follow the same steps used for the analysis of simple uniform systems, which amounts to deriving proper recurrence maps for the thermodynamic and magnetic variables in terms of the generations of the construction of the hierarchical structures. In this context, we may consider different kinds of disorder, and different types of ferromagnetic and anti-ferromagnetic interactions. In the present work, we analyze the effects of dilution, which are produced by the removal of some magnetic ions. The system is treated in a “grand canonical" ensemble. The introduction of two extra fields, related to the concentration of two different types of particles, leads to higher-rank transfer matrices as compared with the formalism for the usual uniform models. Preliminary calculations on a DHL indicate that there is a phase transition for a wide range of dilution concentrations. Ising spin systems on the AN are known to be ferromagnetically ordered at all temperatures; in the presence of dilution, however, there are indications of a disordered (paramagnetic) phase at low concentrations of magnetic ions.

Thermal analysis of the chip formation in austenitic stainless steel

The most important property of austenitic stainless steels is corrosion resistance. In these steels, the transition between paramagnetic and ferromagnetic conditions occurs at low temperatures. Therefore, the use of austenitic stainless steels in conditions in which ferromagnetism absence is important can be considered. On the other hand, the formation of strain-induced martensite is detected when austenitic stainless steels are deformed as well as machined. The strain-induced martensite formed especially in the machining process is not uniform through the chip and its formation can also be related to the Md temperature. Therefore, both the temperature distribution and the gradient during the cutting and chip formation are important to identify regions in which martensite formation is propitiated. The main objective here is evaluate the strain-induced martensite formation throughout machining by observing microstructural features and comparing these to thermal results obtained through finite element method analysis. Results show that thermal analysis can give support to the martensite identified in the microstructural analysis.

How low-level laser therapy can change mechanical properties of cells.

Low level laser therapy is used as a treatment of several conditions, including inflammatory processes and wound healing. Possible changes in mechanical properties of cells, caused by illumination, are investigated with optical magnetic twisting cytometry (OMTC), which is a technique used to evaluate mechanical properties in cell culture. Ferromagnetic micro beads are bound to cell cytoskeleton, the beads are magnetized vertically and a horizontal twisting magnetic field is applied causing a torque that moves the beads and deforms the cell, the beads rotate and displace. Based on the lateral displacement of the beads, elastic shear and loss moduli are obtained. Samples of human bronchial epithelial cell culture were divided in two groups: one was illuminated with a 660 nm red laser, 30 mW power, 0.75 W/cm2 irradiance, during different time intervals, and the other one, the control group, was not illuminated. The values of the mechanical constants of the cells of the control group showed a tendency of increasing with the time out of the incubator. On the other hand, the illuminated group showed constancy on the behavior of both moduli, keeping the normal conditions of the cell culture. Those results indicate that illumination can induce cells to homeostasis, and OMTC is sensitive to observe departures from the steady conditions. Hence, OMTC is an important technique which can be used to aggregate knowledge on the light effect in cell cytoskeleton and even on the low level laser therapy mechanisms in inflammatory processes and/or wound healing.

How low-level laser therapy can change mechanical properties of cells.

Low level laser therapy is used as a treatment of several conditions, including inflammatory processes and wound healing. Possible changes in mechanical properties of cells, caused by illumination, are investigated with optical magnetic twisting cytometry (OMTC), which is a technique used to evaluate mechanical properties in cell culture. Ferromagnetic micro beads are bound to cell cytoskeleton, the beads are magnetized vertically and a horizontal twisting magnetic field is applied causing a torque that moves the beads and deforms the cell, the beads rotate and displace. Based on the lateral displacement of the beads, elastic shear and loss moduli are obtained. Samples of human bronchial epithelial cell culture were divided in two groups: one was illuminated with a 660 nm red laser, 30 mW power, 0.75 W/cm2 irradiance, during different time intervals, and the other one, the control group, was not illuminated. The values of the mechanical constants of the cells of the control group showed a tendency of increasing with the time out of the incubator. On the other hand, the illuminated group showed constancy on the behavior of both moduli, keeping the normal conditions of the cell culture. Those results indicate that illumination can induce cells to homeostasis, and OMTC is sensitive to observe departures from the steady conditions. Hence, OMTC is an important technique which can be used to aggregate knowledge on the light effect in cell cytoskeleton and even on the low level laser therapy mechanisms in inflammatory processes and/or wound healing.

Theoretical and Experimental Study of the Magnetic Separation of Pollutants from Wastewater

This Thesys reports the study of a HGMS (High GradientMagnetic Separation) process for the treatment of industrialwastewaters that considers an assisted chemical-physical pre-treatment for the removal of heavy metals through the bound by adsorption with added iron-oxide particulate matter (hematite). The considered filter, constituted by ferromagnetic stainless steel wool and permanent magnets, is studied with a new approach based on a statistical analysis that requires the study of the trajectories of the particles. Experimental activity on a laboratory device has been carried out in order to test the model.

Darstellung und Untersuchung von Materialien mit negativem Magnetowiderstand

Mit dem System KCo2-xCuxS2 wurde ein neues magnetoresistives System gefunden. Der negative Magnetowiderstand ist mit der Größenordnung von 10 % in 8 Tesla bei 4 K klein im Vergleich zu Mangan-Perowskiten, jedoch eindeutig intrinsisch.Die magnetische Struktur des Thiospinells Fe0.5Cu0.5Cr2S4 konnte durch Neutronenbeugung, Mößbauer-Spektroskopie sowie begleitende Bandstrukturrechnungen aufgeklärt werden. Ein negativen Magnetowiderstand von 5,5 % nahe der Curie-Temperatur in Magnetfeldern von 8 Tesla bei der isostrukturellen eisenreichen Verbindung Fe0.75Cu0.25Cr2S4 wurde gefunden.Die intermetallischen Verbindungen des Gadoliniums weisen alle hohe negative Magnetowiderstände bei TC auf. Sowohl bei GdAl2 als auch bei GdPdP und GdPtP werden Widerstandsabsenkungen in 8 Tesla beobachtet, die bei ~1,5 TC 4 % erreichen und bis zu Temperaturen von 5 K über 6 % liegen. Während der Transportmechanismus in GdAl2 offenbar auf einer direkten Gd-Gd Wechselwirkung beruht, ist bei GdPdP und GdPtP bei tiefen Temperaturen ein nicht eindeutiges Verhalten beobachtbar. Ein Einfluss von Fremdphasen kann jedoch ausgeschlossen werden.Unter den metallreichen Phosphiden hexagonaler Struktur zeigt Fe2P große negative MR-Effekte von 7 % schon bei Raumtemperatur in hohen Feldern. Nahe der ferromagnetischen Ordnung reagiert die Verbindung auf äußere Felder bei niedrigen Feldstärken von weniger als 2 Tesla mit einer Erhöhung der Leitfähigkeit um 10 bis 11 %.

Development of motion analysis protocols based on inertial sensors

The aim of this thesis was to describe the development of motion analysis protocols for applications on upper and lower limb extremities, by using inertial sensors-based systems. Inertial sensors-based systems are relatively recent. Knowledge and development of methods and algorithms for the use of such systems for clinical purposes is therefore limited if compared with stereophotogrammetry. However, their advantages in terms of low cost, portability, small size, are a valid reason to follow this direction. When developing motion analysis protocols based on inertial sensors, attention must be given to several aspects, like the accuracy of inertial sensors-based systems and their reliability. The need to develop specific algorithms/methods and software for using these systems for specific applications, is as much important as the development of motion analysis protocols based on them. For this reason, the goal of the 3-years research project described in this thesis was achieved first of all trying to correctly design the protocols based on inertial sensors, in terms of exploring and developing which features were suitable for the specific application of the protocols. The use of optoelectronic systems was necessary because they provided a gold standard and accurate measurement, which was used as a reference for the validation of the protocols based on inertial sensors. The protocols described in this thesis can be particularly helpful for rehabilitation centers in which the high cost of instrumentation or the limited working areas do not allow the use of stereophotogrammetry. Moreover, many applications requiring upper and lower limb motion analysis to be performed outside the laboratories will benefit from these protocols, for example performing gait analysis along the corridors. Out of the buildings, the condition of steady-state walking or the behavior of the prosthetic devices when encountering slopes or obstacles during walking can also be assessed. The application of inertial sensors on lower limb amputees presents conditions which are challenging for magnetometer-based systems, due to ferromagnetic material commonly adopted for the construction of idraulic components or motors. INAIL Prostheses Centre stimulated and, together with Xsens Technologies B.V. supported the development of additional methods for improving the accuracy of MTx in measuring the 3D kinematics for lower limb prostheses, with the results provided in this thesis. In the author’s opinion, this thesis and the motion analysis protocols based on inertial sensors here described, are a demonstration of how a strict collaboration between the industry, the clinical centers, the research laboratories, can improve the knowledge, exchange know-how, with the common goal to develop new application-oriented systems.

Untersuchung magnetischer Nanostrukturen mittels Rastertunnelspektroskopie und Kerr-Magnetometrie am Beispiel von Fe, Co, Co-Fe und Fe-Mn Nanostrukturen

Nach einer kurzen Einführung in die Entwicklung der magnetischen Anwendungen, werden in Kapitel 2 und 3 die physikalischen Grundlagen der Messmethoden, insbesondere die Rastertunnelspektroskopie und Kerr-Magnetometrie, sowie der experimentelle Aufbau erläutert. Kapitel 4 beschäftigt sich mit den magnetischen Eigenschaften von quasi ein-dimensionalen ferromagnetischen Nanostreifen und Monolagen, die durch Selbstorganisation auf einem Wolfram(110)-Einkristall mit vizinaler und glatter Oberfläche präpariert werden. Hierbei wird die Temperaturabhängigkeit der magnetischen Größen, wie Remanenz, Sättigungsmagnetisierung und Suszeptibilität, sowie die Auswirkung einer Abdeckung des Systems auf die Domänenwandenergie und Anisotropie untersucht. Zusätzlich wird die Kopplung von parallelen Nanostreifen in Abhängigkeit des Streifenabstandes betrachtet. In Kapitel 5 werden das Wachstum und die Morphologie von Co-Monolagen auf W(110) untersucht. Der Übergang von pseudomorphem zu dicht gepacktem Wachstum in der Monolage wird mit Hilfe der Rastertunnelspektroskopie sichtbar gemacht, ebenso wie unterschiedliche Stapelfolgen in Tripellagen Co-Systemen. Atomar aufgelöste Rastertunnelmikroskopie erlaubt die genauen Atompositionen der Oberfläche zu bestimmen und mit theoretischen Wachstumsmodellen zu vergleichen. Auf die Untersuchung zwei-dimensionaler binärer Co-Fe und Fe-Mn Legierungen auf W(110) wird in Kapitel 6 eingegangen. Mit einer Präparationstemperatur von T=520 K ist es möglich, atomar geordnete Co-Fe Legierungsmonolagen wachsen zu lassen. Ein direkter Zusammenhang zwischen der Magnetisierung und der lokalen Zustandsdichte in Abhängigkeit der Legierungszusammensetzung wird gezeigt.

Tuning the structural and magnetic properties of Sr 2 FeReO 6 by substituting Fe and Re with valence invariant metals

In the course of this work the effect of metal substitution on the structural and magnetic properties of the double perovskites Sr2MM’O6 (M = Fe, substituted by Cr, Zn and Ga; M’ = Re, substituted by Sb) was explored by means of X-ray diffraction, magnetic measurements, band structure calculations, Mößbauer spectroscopy and conductivity measurements. The focus of this study was the determination of (i) the kind and structural boundary conditions of the magnetic interaction between the M and M’ cations and (ii) the conditions for the principal application of double perovskites as spintronic materials by means of the band model approach. Strong correlations between the electronic, structural and magnetic properties have been found during the study of the double perovskites Sr2Fe1-xMxReO6 (0 < x < 1, M = Zn, Cr). The interplay between van Hove-singularity and Fermi level plays a crucial role for the magnetic properties. Substitution of Fe by Cr in Sr2FeReO6 leads to a non-monotonic behaviour of the saturation magnetization (MS) and an enhancement for substitution levels up to 10 %. The Curie temperatures (TC) monotonically increase from 401 to 616 K. In contrast, Zn substitution leads to a continuous decrease of MS and TC. The diamagnetic dilution of the Fe-sublattice by Zn leads to a transition from an itinerant ferrimagnetic to a localized ferromagnetic material. Thus, Zn substitution inhibits the long-range ferromagnetic interaction within the Fe-sublattice and preserves the long-range ferromagnetic interaction within the Re-sublattice. Superimposed on the electronic effects is the structural influence which can be explained by size effects modelled by the tolerance factor t. In the case of Cr substitution, a tetragonal – cubic transformation for x > 0.4 is observed. For Zn substituted samples the tetragonal distortion linearly increases with increasing Zn content. In order to elucidate the nature of the magnetic interaction between the M and M’ cations, Fe and Re were substituted by the valence invariant main group metals Ga and Sb, respectively. X-ray diffraction reveals Sr2FeRe1-xSbxO6 (0 < x < 0.9) to crystallize without antisite disorder in the tetragonal distorted perovskite structure (space group I4/mmm). The ferrimagnetic behaviour of the parent compound Sr2FeReO6 changes to antiferromagnetic upon Sb substitution as determined by magnetic susceptibility measurements. Samples up to a doping level of 0.3 are ferrimagnetic, while Sb contents higher than 0.6 result in an overall antiferromagnetic behaviour. 57Fe Mößbauer results show a coexistence of ferri- and antiferromagnetic clusters within the same perovskite-type crystal structure in the Sb substitution range 0.3 < x < 0.8, whereas Sr2FeReO6 and Sr2FeRe0.9Sb0.1O6 are “purely” ferrimagnetic and Sr2FeRe0.1Sb0.9O6 contains antiferromagnetically ordered Fe sites only. Consequently, a replacement of the Re atoms by a nonmagnetic main group element such as Sb blocks the double exchange pathways Fe–O–Re(Sb)–O–Fe along the crystallographic axis of the perovskite unit cell and destroys the itinerant magnetism of the parent compound. The structural and magnetic characterization of Sr2Fe1-xGaxReO6 (0 < x < 0.7) exhibit a Ga/Re antisite disorder which is unexpected because the parent compound Sr2FeReO6 shows no Fe/Re antisite disorder. This antisite disorder strongly depends on the Ga content of the sample. Although the X-ray data do not hint at a phase separation, sample inhomogeneities caused by a demixing are observed by a combination of magnetic characterization and Mößbauer spectroscopy. The 57Fe Mößbauer data suggest the formation of two types of clusters, ferrimagnetic Fe- and paramagnetic Ga-based ones. Below 20 % Ga content, Ga statistically dilutes the Fe–O–Re–O–Fe double exchange pathways. Cluster formation begins at x = 0.2, for 0.2 < x < 0.4 the paramagnetic Ga-based clusters do not contain any Fe. Fe containing Ga-based clusters which can be detected by Mößbauer spectroscopy firstly appear for x = 0.4.

Untersuchungen zur Löslichkeit von Kobalt und Eisen in TiO 2-Bulk sowie in TiO 2-Nanoproben und deren Einfluss auf die magnetischen Eigenschaften

Co- und Fe-dotierte Rutil- und Anatas-Bulkproben wurden über einen Sol-Gel Prozess und anschließende thermische Behandlung dargestellt und auf ihre Zugehörigkeit zu der Gruppe der verdünnten magnetischen Oxide untersucht. Die Untersuchungen der dotierten Rutil-Proben mittels Röntgenbeugung, Elektronenmikroskopie und magnetischen Methoden zeigen, dass die Löslichkeit von Co und Fe in der TiO2-Modifikation Rutil sehr gering ist. Oberhalb von 1at% Co bzw. Fe wird neben Rutil die Bildung der Oxide CoTiO3 bzw. Fe2TiO5 beobachtet. Weitere thermische Behandlung im Argon-H2-Strom führte aufgrund der Bildung von metallischem Co bzw. Fe zu einem ferromagnetischen Verhalten. Die TiO2-Modifikation Anatas besitzt eine höhere Löslichkeit, so dass erst oberhalb von 4at% Co bzw. 10at% Fe die Phasen Co3O4 bzw. FeTiO3 neben Anatas auftreten. Entsprechende Proben zeigen ein paramagnetisches Verhalten. Oberhalb der Löslichkeitsgrenze führt die Reduktion im Argon-H2-Strom zu einem ferromagnetischen Verhalten, welches auf metallisches Co bzw. Fe zurückzuführen ist. Analog zu den Bulkproben wurden Co- und Fe-dotierte TiO2-Nanodrähte hergestellt. Das magnetische Verhalten der Fe-dotierten TiO2-Nanodrähte entspricht dem der Fe-dotierten Anatas-Bulkproben. Dagegen führt die Co-Dotierung nicht zu einem Einbau in die TiO2-Nanodrähte, sondern zur Bildung von CoOx-Nanopartikeln. Die entsprechenden Proben zeigen ein schwach ferromagnetisches Verhalten. Dies ist jedoch nicht auf eine ferromagnetische Dotierung der TiO2-Nanodrähte zurückzuführen, sondern auf nicht kompensierte Momente an den Oberflächen der als Verunreinigungen auftretenden CoOx-Nanopartikel. Zusammenfassend wird festgestellt, dass die Löslichkeit von Co und Fe in TiO2 für die Ausbildung eines ferromagnetischen Verhaltens zu gering ist. Der beobachtete Ferromagnetismus lässt sich eindeutig auf magnetische Verunreinigungen zurückführen. Somit können die dotierten TiO2 Proben nicht den verdünnten magnetischen Oxiden zugeordnet werden.