@phdthesis{EliasdosSantos2021,
  author    = {Elias dos Santos, Graciely},
  title     = {Spin-Orbit Torques and Galvanomagnetic Effects Generated by the 3D Topological Insulator HgTe},
  doi       = {10.25972/OPUS-24797},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-247971},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2021},
  abstract  = {In meiner Dissertation besch{\"a}ftigte ich mich mit der Frage, ob der 3D topologische Isolator Quecksilbertellurid (3D TI HgTe) ein geeignetes Material f{\"u}r Spintronik-Anwendungen ist. Wir untersuchten Spin-Bahn-Drehmomente, die auf Elektronen beim Tunneln zwischen HgTe und einem angrenzenden Ferromagneten (Permalloy) einwirken. Zun{\"a}chst setzten wir die Methode der Ferromagnetresonanz (SOT-FMR) f{\"u}r diese Untersuchungen ein. Im ersten Teil der Dissertation werden die Leser in die mathematische Beschreibung von Spin- Bahn-Drehmomenten in einem Hybridsystem bestehend aus topologischem Isolator (TI) und Ferromagnet (FM) eingef{\"u}hrt. Des Weiteren werden die Probenherstellung und der Messaufbau f{\"u}r SOT-FMR Messungen besprochen. Unsere SOT-FMR Messungen ergaben, dass bei tiefen Temperaturen (T = 4.2 K) die Normalkomponente (bezogen auf der TI-Oberfl{\"a}che) des Drehmoments groß war. Bei Raumtemperatur konnten im Signal beide Komponenten (parallel und normal zur TI-Oberfl{\"a}che) beobachtet werden. Aus der Symmetrie der Mixing-Spannung (Abbildungen 3.14 und 3.15) schlossen wir, dass 3D TI HgTe ein Spin-Bahn-Drehmoment auf das Elektronensystem des Permalloys {\"u}bertr{\"a}gt. Unsere Untersuchungen zeigten dar{\"u}ber hinaus, dass die Effizienz dieser {\"U}bertragung mit der anderer vorhandener topologischen Isolatoren vergleichbar ist (siehe Abb. 3.17). Abschließend wurden parasit{\"a}re Effekte bei der Absch{\"a}tzung des Spin-Bahn-Drehmoments bzw. andere Interpretationen des Messsignals und seiner Komponenten (z.B., Thermospannungen) ausf{\"u}hrlich diskutiert. Obwohl die hier gezeigten Ergebnisse vermehrt darauf hinweisen, dass der 3D TI HgTe m{\"o}glicherweise effizient f{\"u}r die Anwendung von Spin-Drehmomenten in angrezenden Ferromagneten ist [1], wird dem Leser weiderholt klargemacht, dass parasit{\"a}re Effekte eventuelle das korrekte Schreiben und Lesen der Information in Ferromagneten verunreignigt. Diese sollten auch bei der Interpretation von publizierten Resultaten besonders hohen Spin-Bahn-Drehmoment{\"u}bertragungen in der Literatur ber{\"u}cksichtigt werden [1-3]. Die Nachteile der SOT-FMR-Messmethode f{\"u}hrten zu einerWeiterentwicklung unseres Messkonzepts, bei dem der Ferromagnet durch eine Spin-Valve-Struktur ersetzt wurde. In dieser Messanordnung ist der Stromfluss durch den 3D TI im Gegensatz zu den vorangegangenen Messungen bekannt und die Widerstands{\"a}nderung der Spin-Valve-Struktur kann durch den GMR-Effekt ausgelesen werden. Die Ausrichtung der Magnetisierung des Ferromagneten in den SOT-FMR-Experimenten erforderte es, ein magnetisches Feld von bis zu 300 mT parallel zur TI-Oberfl{\"a}che anzulegen. Motiviert durch diesen Umstand, untersuchten wir den Einfluss eines parallelen Magnetfelds auf den Magnetowiderstand in 3D TI HgTe. Die {\"u}berraschenden Resultate dieser Messungen werden im zweiten Teil der Dissertation beschrieben. Obwohl nichtmagnetisches Quecksilbertellurid untersucht wurde, oszillierte der transversale Magnetowiderstand (Rxy) mit dem Winkel � zwischen der Magnetfeldrichtung (parallel zur Oberfl{\"a}che) und der elektrischen Stromflussrichtung im topologischen Isolator. Dieser Effekt ist eine typische Eigenschaft von ferromagnetischen Materialien und wird planarer Hall-Effekt (PHE) genannt[4, 5]. Magnetowiderstands- (MR-)Oszillationen wurden ebenfalls sowohl im L{\"a}ngswiderstand (Rxx) und im transversalen Widerstand (Rxy) {\"u}ber einen weiten Bereich von magnetischen Feldst{\"a}rken und Ladungstr{\"a}gerdichten des topologischen Isolators beobachtet. Der PHE wurde bereits zuvor in einem anderen TI-Material (Bi2-xSbxTe3) beschrieben [6]. Als physikalischer Mechanismus wurde von den Autoren Elektronenstreuung an magnetisch polarisierten Streuzentren vorgeschlagen. Wir diskutierten sowohl diesen Erkl{\"a}rungsansatz als auch andere Theorievorschl{\"a}ge in der Literatur [7, 8] kritisch. In dieser Doktorarbeit haben wir versucht, der PHE des 3D TI HgTe durch die Asymmetrie in der Bandstruktur dieses Materials zu erkl{\"a}ren. In k.p Bandstrukturrechnungen mit einer 6-Orbital-Basis zeigten wir, dass das Zwischenspiel von Rashba- und Dresselhaus-Spin-Bahn- Wechselwirkung mit dem magnetischen Feld parallel zur TI-Oberfl{\"a}che zu einer Verformung der Fermikontur des Valenzbands von 3D TI-HgTe f{\"u}hrt, welche ihrerseits eine Anisotropie des Leitf{\"a}higkeit bedingt. Die ben{\"o}tigten Magnetfeldst{\"a}rken in diesem Modell waren mit bis zu 40 T jedoch etwa eine Gr{\"o}ßenordnung gr{\"o}ßer als jene in unseren Experimenten. Des Weiteren lieferte eine direkte Berechnung der Zustandsdichten f{\"u}r Bin k I und Bin ? I bisher keine klaren Resultate. Die komplizierte Abh{\"a}ngigkeit der Rashba-Spin-Bahn-Kopplung f{\"u}r p-leitendes HgTe [9] machte es außerdem schwierig, diesen Term in die Bandstrukturrechnung zu inkludieren. Trotz umfangreicher Bem{\"u}hungen, den Ursprung der galvanomagnetischen Effekte im 3D TI HgTe zu verstehen, konnte in dieser Arbeit der Mechanismus des PHE und der MR-Oszillationen nicht eindeutig bestimmt werden. Es gelang jedoch, einige aus der Literatur bekannte Theorien f{\"u}r den PHE und die MR-Oszillationseffekte in topologischen Isolatoren auszuschließen. Die Herausforderung, eine vollst{\"a}ndige theoretische Beschreibung zu entwickeln, die allen experimentellen Aspekten (PHE, Gatespannungsabh{\"a}ngigkeit und MR-Oszillationen) gerecht wird, bleibt weiter bestehen. Abschließend m{\"o}chte die Autorin ihre Hoffnung ausdr{\"u}cken, den Lesern die Komplexit{\"a}t der Fragestellung n{\"a}her gebracht zu haben und sie in die Kunst elektrischer Messungen an topologischen Isolatoren bei angelegtem parallelem Magnetfeld initiiert zu haben.},
  language  = {en}
}
@phdthesis{Pakkayil2017,
  author    = {Pakkayil, Shijin Babu},
  title     = {Towards ferromagnet/superconductor junctions on graphene},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-153863},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2017},
  abstract  = {This thesis reports a successful fabrication and characterisation of ferromagnetic/superconductor junction (F/S) on graphene. The thesis preposes a fabrication method to produce F/S junctions on graphene which make use of ALD grown Al2O3 as the tunnel barrier for the ferromagnetic contacts. Measurements done on F/G/S/G/F suggests that by injecting spin polarised current into the superconductor, a spin imbalance is created in the quasiparticle density of states of the superconductor which then diffuses through the graphene channel. The observed characteristic curves are similar to the ones which are already reported on metallic ferromagnet/superconductor junctions where the spin imbalance is created using Zeeman splitting. Further measurements also show that the curves loose their characteristic shapes when the temperature is increased above the critical temperature (Tc) or when the external magnetic field is higher then the critical field (Hc) of the superconducting contact. But to prove conclusively and doubtlessly the existence of spin imbalance in ferromagnet/superconductor junctions on graphene, more devices have to be made and characterised preferably in a dilution refrigerator.},
  subject      = {Graphen},
  language  = {en}
}
@phdthesis{Quast2017,
  author    = {Quast, Jan-Henrik},
  title     = {Influence of Hot Carriers on Spin Diffusion in Gallium Arsenide},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-147611},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2017},
  abstract  = {Since the late 20th century, spintroncis has become a very active field of research [ŽFS04]. The prospect of spin based information technology, featuring strongly decreased energy consumption and possibly quantum-computation capabilities, has fueled this interest. Standard materials, like bulk gallium arsenide (GaAs), have experienced new attention in this context by exhibiting extraordinarily long lifetimes for nonequilibrium spin information, which is an important requirement for efficient spin based information storage and transfer. Another important factor is the lengthscale over which spin information can be transported in a given material and the role of external influences. Both aspects have been studied experimentally with innovative optical methods since the late 1990s by the groups of D. D. AWSHALOM and S. A. CROOKER et al. [KA99, CS05, CFL+05]. Although the pioneering experimental approaches presented by these authors led to a variety of insights into spin propagation, some questions were raised as well. Most prominently, the classical Einstein relation, which connects the mobility and diffusivity of a given particle species, seemed to be violated for electron spins in a bulk semiconductor. In essence, nonequilibrium spins appeared to move (diffuse) faster than the electrons that actually carry the spin. However, this contradiction was masked by the fact, that the material of interest was n-type GaAs with a doping concentration directly at the transition between metallic and insulating behavior (MIT). In this regime, the electron mobility is difficult to determine experimentally. Consequently, it was not a priori obvious that the spin diffusion rates determined by the newly introduced optical methods were in contradiction with established electrical transport data. However, in an attempt to extend the available data of optical spin microscopy, another issue surfaced, concerning the mathematical drift-diffusion model that has been commonly used to evaluate lateral spin density measurements. Upon close investigation, this model appears to have a limited range of applicability, due to systematic discrepancies with the experimental data (chapter 4). These deviations are noticeable in original publications as well, and it is shown in the present work that they originate from the local heating of electrons in the process of optical spin pumping. Based on insights gained during the second half of the 20th century, it is recapitulated why conduction electrons are easily overheated at cryogenic temperatures. The main reason is the poor thermal coupling between electrons and the crystal lattice (chapter 3). Experiments in the present work showed that a significant thermal gradient exists in the conduction band under local optical excitation of electron-hole pairs. This information was used to develop a better mathematical model of spin diffusion, which allowed to derive the diffusivity of the undisturbed system, due to an effective consideration of electron overheating. In this way, spin diffusivities of n-GaAs were obtained as a function of temperature and doping density in the most interesting regime of the metal-insulator-transition. The experiments presented in this work were performed on a series of n-type bulk GaAs samples, which comprised the transition between metallic conductivity and electrical insulation at low temperatures. Local electron temperature gradients were measured by a hyperspectral photoluminescence imaging technique with subsequent evaluation of the electron-acceptor (e,A\$^0\$) line shape. The local density of nonequilibrium conduction electron spins was deduced from scanning magneto-optic Kerr effect microscopy. Numerical evaluations were performed using the finite elements method in combination with a least-squares fitting procedure. Chapter 1 provides an introduction to historical and recent research in the field of spintronics, as far as it is relevant for the understanding of the present work. Chapter 2 summarizes related physical concepts and experimental methods. Here, the main topics are semiconductor optics, relaxation of hot conduction electrons, and the dynamics of nonequilibrium electron spins in semiconductors. Chapter 3 discusses optical heating effects due to local laser excitation of electron-hole pairs. Experimental evaluations of the acceptor-bound-exciton triplet lines led to the conclusion that the crystal lattice is usually not overheated even at high excitation densities. Here, the heat is efficiently dissipated to the bath, due to the good thermal conductivity of the lattice. Furthermore, the heating of the lattice is inherently limited by the weak heat transfer from the electron system, which on the other hand is also the reason why conduction electrons are easily overheated at temperatures below ≈ 30 K. Spatio-spectral imaging of the electron-acceptor-luminescence line shape allowed to trace the thermal gradient within the conduction band under focused laser excitation. A heat-diffusion model was formulated, which reproduces the experimental electron-temperature trend nicely for low-doped GaAs samples of n- and p-type. For high-doped n-type GaAs samples, it could be shown that the lateral electron-temperature profile is well approximated by a Gaussian. This facilitated easy integration of hot electron influence into the mathematical model of spin diffusion. Chapter 4 deals with magneto-optical imaging of optically induced nonequilibrium conduction-electron spins in n-GaAs close to the MIT. First, the spectral dependence of the magneto-optic Kerr effect was examined in the vicinity of the fundamental band gap. Despite the marked differences among the investigated samples, the spectral shape of the Kerr rotation could be described in terms of a simple Lorentz-oscillator model in all cases. Based on this model, the linearity of the Kerr effect with respect to a nonequilibrium spin polarization is demonstrated, which is decisively important for further quantitative evaluations. Furthermore, chapter 4 presents an experimental survey of spin relaxation in n-GaAs at the MIT. Here, the dependence of the spin relaxation time on bath temperature and doping density was deduced from Hanle-MOKE measurements. While all observed trends agree with established literature, the presented results extend the current portfolio by adding a coherent set of data. Finally, diffusion of optically generated nonequilibrium conduction-electron spins was investigated by scanning MOKE microscopy. First, it is demonstrated that the standard diffusion model is inapplicable for data evaluation in certain situations. A systematic survey of the residual deviations between this model and the experimental data revealed that this situation unfortunately persisted in published works. Moreover, the temperature trend of the residual deviations suggests a close connection to the local overheating of conduction electrons. Consequently, a modified diffusion model was developed and evaluated, in order to compensate for the optical heating effect. From this model, much more reliable results were obtained, as compared to the standard diffusion model. Therefore, it was shown conclusively that the commonly reported anomalously large spin diffusivities were at least in parts caused by overheated conduction electrons. In addition to these new insights some experimental and technological enhancements were realized in the course of this work. First, the optical resolution of scanning MOKE microscopy was improved by implementing a novel scanning mechanism, which allows the application of a larger aperture objective than in the usual scheme. Secondly, imaging photoluminescence spectroscopy was employed for spatially resolved electron-temperature measurements. Here, two different implementations were developed: One for lattice-temperature measurements by acceptor-bound exciton luminescence and a second for conduction-electron temperature measurements via the analysis of the electron-acceptor luminescence line shape. It is shown in the present work that the originally stated anomalously high spin diffusivities were caused to a large extent by unwanted optical heating of the electron system. Although an efficient method was found to compensate for the influence of electron heating, it became also evident that the classical Einstein relation was nonetheless violated under the given experimental conditions. In this case however, it could be shown that this discrepancy did not originate from an experimental artifact, but was instead a manifestation of the fermionic nature of conduction electrons.},
  subject      = {Galliumarsenid},
  language  = {en}
}
@phdthesis{Pappert2007,
  author    = {Pappert, Katrin},
  title     = {Anisotropies in (Ga,Mn)As - Measurement, Control and Application in Novel Devices},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-23370},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2007},
  abstract  = {Ferromagnetic semiconductors (FS) promise the integration of magnetic memory functionalities and semiconductor information processing into the same material system. The prototypical FS (Ga,Mn)As has become the focus of semiconductor spintronics research over the past years. The spin-orbit mediated coupling of magnetic and semiconductor properties in this material gives rise to many novel transport-related phenomena which can be harnessed for device applications. In this thesis we address challenges faced in the development of an all-semiconductor memory architecture. A starting point for information storage in FS is the knowledge of their detailed magnetic anisotropy. The first part of this thesis concentrates on the investigation of the magnetization behaviour in compressively strained (Ga,Mn)As by electrical means. The angle between current and magnetization is monitored in magnetoresistance(MR) measurements along many in-plane directions using the Anisotropic MR(AMR) or Planar Hall effect(PHE). It is shown, that a full angular set of such measurements displayed in a color coded resistance polar plot can be used to identify and quantitatively determine the symmetry components of the magnetic anisotropy of (Ga,Mn)As at 4 K. We compile such "anisotropy fingerprints" for many (Ga,Mn)As layers from Wuerzburg and other laboratories and find the presence of three symmetry terms in all layers. The biaxial anisotropy term with easy axes along the [100] and [010] crystal direction dominates the magnetic behaviour. An additional uniaxial term with an anisotropy constant of ~10\% of the biaxial one has its easy axis along either of the two <110> directions. A second contribution of uniaxial symmetry with easy axis along one of the biaxial easy axes has a strength of only ~1\% of the biaxial anisotropy and is therefore barely visible in standard SQUID measurements. An all-electrical writing scheme would be desirable for commercialization. We report on a current assisted magnetization manipulation experiment in a lateral (Ga,Mn)As nanodevice at 4 K (far below Tc). Reading out the large resistance signal from DW that are confined in nanoconstrictions, we demonstrate the current assisted magnetization switching of a small central island through a hole mediated spin transfer from the adjacent leads. One possible non-perturbative read-out scheme for FS memory devices could be the recently discovered Tunneling Anisotropic MagnetoResistance (TAMR) effect. Here we clarify the origin of the large amplification of the TAMR amplitude in a device with an epitaxial GaAs tunnel barrier at low temperatures. We prove with the help of density of states spectroscopy that a thin (Ga,Mn)As injector layer undergoes a metal insulator transition upon a change of the magnetization direction in the layer plane. The two states can be distinguished by their typical power law behaviour in the measured conductance vs voltage tunneling spectra. While all hereto demonstrated (Ga,Mn)As devices inherited their anisotropic magnetic properties from their parent FS layer, more sophisticated FS architectures will require locally defined FS elements of different magnetic anisotropy on the same wafer. We show that shape anisotropy is not applicable in FS because of their low volume magnetization. We present a method to lithographically engineer the magnetic anisotropy of (Ga,Mn)As by submicron patterning. Anisotropic strain relaxation in submicron bar structures (nanobars) and the related deformation of the crystal lattice introduce a new uniaxial anisotropy term in the energy equation. We demonstrate by both SQUID and transport investigations that this lithographically induced uniaxial anisotropy overwrites the intrinsic biaxial anisotropy at all temperatures up to Tc. The final section of the thesis combines all the above into a novel device scheme. We use anisotropy engineering to fabricate two orthogonal, magnetically uniaxial, nanobars which are electrically connected through a constriction. We find that the constriction resistance depends on the relative orientation of the nanobar magnetizations, which can be written by an in-plane magnetic field. This effect can be explained with the AMR effect in connection with the field line patterns in the respective states. The device offers a novel non-volatile information storage scheme and a corresponding non-perturbative read-out method. The read out signal is shown to increase drastically in samples with partly depleted constriction region. This could be shown to originate in a magnetization direction driven metal insulator transition of the material in the constriction region.},
  subject      = {Anisotropie},
  language  = {en}
}
@phdthesis{Slobodskyy2006,
  author    = {Slobodskyy, Taras},
  title     = {Semimagnetic heterostructures for spintronics},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-21011},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2006},
  abstract  = {F{\"u}r zuk{\"u}nftige Technologien ist die Erforschung von der verwendeten Teilchen n{\"o}tig. Spintronik ist ein modernes Gebiet der Physik, welches neben der Ladung auch die Spineigenschaften als zus¨atzlichen Freiheitsgrad nutzbar macht. Der "conductivity mismatch" stellt ein fundamentales Problem f{\"u}r elektrische Spininjektion aus einem ferromagnetischem Metal in einen diffusiven Halbleiter dar. Daher m{\"u}ssen andere Methoden f{\"u}r die Injektion spin-polarisierter Ladungstr{\"a}ger benutzt werden. Mit einem Tunnelkontakt ist es m{\"o}glich, eine hoch spin-polarisierte, Raumtemperatur Tunnel-Injektion zu erzielen. Wir benutzten einen neuen Ansatz und verwendeten magnetische RTDs zur Spinmanipulation. In dieser Arbeit wurden die Eigenschaften von magnetischen, resonanten Tunneldioden (RTDs) aus rheinen II-VI-Halbleitern in ihrer Verwendung f{\"u}r die Spintronik beschrieben. Wachstumsbedingungen wurden optimiert, um das Peak-to-Valley-Verh{\"a}ltnis zu vergr{\"o}ßern. Das Design der RTDs wurde optimiert, um spinbezogene Transporteffekte beobachten zu k{\"o}nen. Mit einem externen Magnetfeld war Spinmanipulation m{\"o}glich. Selbstorganisierte CdSe Quanten-Strukturen wurden hergestelt und mit optischen Techniken untersucht. Sie w{\"u}rden in (Zn,Be)Se Tunnelbarrieren eingebettet, so dass ihre Eigenschaften durch resonantes Tunneln zug{\"a}nglich wurden.},
  subject      = {Heterostruktur-Bauelement},
  language  = {en}
}
@phdthesis{Ruester2005,
  author    = {R{\"u}ster, Christian},
  title     = {Magnetotransport effects in lateral and vertical ferromagnetic semiconductor junctions},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-15554},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2005},
  abstract  = {This work is an investigation of giant magnetoresistance (GMR), tunneling magnetoresistance (TMR) and tunneling anisotropic magnetoresistance (TAMR)effects in (Ga,Mn) based ferromagnetic semiconductor junctions. Detailed results are published in the following articles: [1] C. R{\"u}ster, T. Borzenko, C. Gould, G. Schmidt, L.W. Molenkamp, X. Liu, T.J.Wojtowicz, J.K. Furdyna, Z.G. Yu and M. Flatt´e, Very Large Magnetoresistance in Lateral Ferromagnetic (Ga,Mn)As Wires with Nanoconstrictions, Physical Review Letters 91, 216602 (2003). [2] C. Gould, C. R{\"u}ster, T. Jungwirth, E. Girgis, G.M. Schott, R. Giraud, K. Brunner, G. Schmidt and L.W. Molenkamp, Tunneling Anisotropic Magnetoresistance: A Spin-Valve-Like Tunnel Magnetoresistance Using a Single Magnetic Layer, Physical Review Letters 93, 117203 (2004). [3] C. R{\"u}ster, C. Gould, T. Jungwirth, J. Sinova, G.M. Schott, R. Giraud, K. Brunner, G. Schmidt and L.W. Molenkamp, Very Large Tunneling Anisotropic Magnetoresistance of a (Ga,Mn)As/GaAs/(Ga,Mn)As Stack, Physical Review Letters 94, 027203 (2005). [4] C. R{\"u}ster and C. Gould, T. Jungwirth, E. Girgis, G.M. Schott, R. Giraud, K. Brunner, G. Schmidt and L.W. Molenkamp, Tunneling anisotropic magnetoresistance: Creating a spin-valve-like signal using a single ferromagnetic semiconductor layer, Journal of Applied Physics 97, 10C506 (2005).},
  subject      = {Galliumarsenid},
  language  = {en}
}