@phdthesis{Bendias2018, author = {Bendias, Michel Kalle}, title = {Quantum Spin Hall Effect - A new generation of microstructures}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-168214}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2018}, abstract = {The presented thesis summarizes the results from four and a half years of intense lithography development on (Cd,Hg)Te/HgTe/(Cd,Hg)Te quantum well structures. The effort was motivated by the unique properties of this topological insulator. Previous work from Molenkamp at al.\ has proven that the transport through such a 2D TI is carried by electrons with opposite spin, counter-propagating in 1D channels along the sample edge. However, up to this thesis, the length of quantized spin Hall channels has never been reported to exceed 4 µm. Therefore, the main focus was put on a reproducible and easy-to-handle fabrication process that reveals the intrinsic material parameters. Every single lithography step in macro as well as microscopic sample fabrication has been re-evaluated. In the Development, the process changes have been presented along SEM pictures, microgaphs and, whenever possible, measurement responses. We have proven the conventional ion milling etch method to damage the remaining mesa and result in drastically lower electron mobilities in samples of microscopic size. The novel KI:I2:HBr wet etch method for macro and microstructure mesa fabrication has been shown to leave the crystalline structure intact and result in unprecedented mobilities, as high as in macroscopic characterization Hall bars. Difficulties, such as an irregular etch start and slower etching of the conductive QW have been overcome by concentration, design and etch flow adaptations. In consideration of the diffusive regime, a frame around the EBL write field electrically decouples the structure mesa from the outside wafer. As the smallest structure, the frame is etched first and guarantees a non-different etching of the conductive layer during the redox reaction. A tube-pump method assures reproducible etch results with mesa heights below 300 nm. The PMMA etch mask is easy to strip and leaves a clean mesa with no redeposition. From the very first attempts, to the final etch process, the reader has been provided with the characteristics and design requirements necessary to enable the fabrication of nearly any mesa shape within an EBL write field of 200 µm. Magneto resistance measurement of feed-back samples have been presented along the development chronology of wet etch method and subsequent lithography steps. With increasing feature quality, more and more physics has been revealed enabling detailed evaluation of smallest disturbances. The following lithography improvements have been implemented. They represent a tool-box for high quality macro and microstructure fabrication on (CdHg)Te/HgTe of almost any kind. The optical positive resist ECI 3027 can be used as wet and as dry etch mask for structure sizes larger than 1 µm. It serves to etch mesa structures larger than the EBL write field. The double layer PMMA is used for ohmic contact fabrication within the EBL write field. Its thickness allows to first dry etch the (Cd,Hg)Te cap layer and then evaporate the AuGe contact, in situ and self-aligned. Because of an undercut, up to 300 nm can be metalized without any sidewalls after the lift-off. An edge channel mismatch within the contact leads can be avoided, if the ohmic contacts are designed to reach close to the sample and beneath the later gate electrode. The MIBK cleaning step prior to the gate application removes PMMA residuals and thereby improves gate and potential homogeneity. The novel low HfO2-ALD process enables insulator growth into optical and EBL lift-off masks of any resolvable shape. Directly metalized after the insulator growth, the self-aligned method results in thin and homogeneous gate electrode reproducibly withholding gate voltages to +-10 V. The optical negative resist ARN 4340 exhibits an undercut when developed. Usable as dry etch mask and lift-off resist, it enables an in-situ application of ohmic contacts first etching close to the QW, then metalizing AuGe. Up to 500 nm thickness, the undercut guarantees an a clean lift-off with no sidewalls. The undertaken efforts have led to micro Hall bar measurements with Hall plateaus and SdH-oszillations in up to now unseen levels of detail. The gap resistance of several micro Hall bars with a clear QSH signal have been presented in Quantum Spin Hall. The first to exhibit longitudinal resistances close to the expected h/2e2 since years, they reveal unprecedented details in features and characteristics. It has been shown that their protection against backscattering through time reversal symmetry is not as rigid as previously claimed. Values below and above 12.9 kΩ been explained, introducing backscattering within the Landauer-B{\"u}ttiker formalism of edge channel transport. Possible reasons have been discussed. Kondo, interaction and Rashba-backscattering arising from density inhomogeneities close to the edge are most plausible to explain features on and deviations from a quantized value. Interaction, tunneling and dephasing mechanisms as well as puddle size, density of states and Rashba Fields are gate voltage dependent. Therefore, features in the QSH signal are fingerprints of the characteristic potential landscape. Stable up to 11 K, two distinct but clear power laws have been found in the higher temperature dependence of the QSH in two samples. However, with ΔR = Tα, α = ¼ in one (QC0285) and α = 2 in the other (Q2745), none of the predicted dependencies could be confirmed. Whereas, the gap resistances of QC0285 remains QSH channel dominated up to 3.9 T and thereby confirmed the calculated lifting of the band inversion in magnetic field. The gate-dependent oscillating features in the QSH signal of Q2745 immediately increase in magnetic field. The distinct field dependencies allowed the assumption of two different dominant backscattering mechanisms. Resulting in undisturbed magneto transport and unprecedented QSH measurements The Novel Micro Hall Bar Process has proven to enable the fabrication of a new generation of microstructures.}, subject = {Quecksilbertellurid}, language = {en} } @phdthesis{Leisegang2021, author = {Leisegang, Markus}, title = {Eine neue Methode zur Detektion ballistischen Transports im Rastertunnelmikroskop: Die Molekulare Nanosonde}, doi = {10.25972/OPUS-25076}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-250762}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2021}, abstract = {Verlustarmer Ladungstr{\"a}gertransport ist f{\"u}r die Realisierung effizienter und kleiner elektronischer Bauteile von großem Interesse. Dies hilft entstehende W{\"a}rme zu minimieren und den Energieverbrauch gleichzeitig zu reduzieren. Einzelne Streuprozesse, die den Verlust bei Ladungstr{\"a}gertransport bestimmen, laufen jedoch auf L{\"a}ngenskalen von Nano- bis Mikrometern ab. Um diese detailliert untersuchen zu k{\"o}nnen, bedarf es Messmethoden mit hoher zeitlicher oder {\"o}rtlicher Aufl{\"o}sung. F{\"u}r Letztere gibt es wenige etablierte Experimente, h{\"a}ufig basierend auf der Rastertunnelmikroskopie, welche jedoch verschiedenen Einschr{\"a}nkungen unterliegen. Um die M{\"o}glichkeiten der Detektion von Ladungstr{\"a}gertransport auf Distanzen der mittleren freien Wegl{\"a}nge und damit im ballistischen Regime zu verbessern, wurde im Rahmen dieser Dissertation die Molekulare Nanosonde charakterisiert und etabliert. Diese Messmethode nutzt ein einzelnes Molek{\"u}l als Detektor f{\"u}r Ladungstr{\"a}ger, welche mit der Sondenspitze des Rastertunnelmikroskops (RTM) wenige Nanometer entfernt vom Molek{\"u}l in das untersuchte Substrat injiziert werden. Die hohe Aufl{\"o}sung des RTM in Kombination mit der geringen Ausdehnung des molekularen Detektors erm{\"o}glicht dabei atomare Kontrolle von Transportpfaden {\"u}ber wenige Nanometer. Der erste Teil dieser Arbeit widmet sich der Charakterisierung der Molekularen Nanosonde. Hierf{\"u}r werden zun{\"a}chst die elektronischen Eigenschaften dreier Phthalocyanine mittels Rastertunnelspektroskpie untersucht, welche im Folgenden zur Charakterisierung des Molek{\"u}ls als Detektor Anwendung finden. Die anschließende Analyse der Potentiallandschaft der Tautomerisation von H2Pc und HPc zeigt, dass die NH- Streckschwinung einem effizienten Schaltprozess zu Grunde liegt. Darauf basierend wird der Einfluss der Umgebung anhand von einzelnen Adatomen sowie des Substrats selbst auf den molekularen Schalter analysiert. In beiden F{\"a}llen zeigt sich eine signifikante {\"A}nderung der Potentiallandschaft der Tautomerisation. Anschließend wird der Einfluss geometrischer Eigenschaften des Molek{\"u}ls selbst untersucht, wobei sich eine Entkopplung vom Substrat auf Grund von dreidimensionalen tert-Butyl-Substituenten ergibt. Zus{\"a}tzlich zeigt sich bei dem Vergleich von Naphthalocyanin zu Phthalocyanin der Einfluss lateraler Ausdehnung auf die Detektionsfl{\"a}che, was einen nicht-punktf{\"o}rmigen Detektor best{\"a}tigt. Im letzten Abschnitt werden zwei Anwendungen der Molekularen Nanosonde pr{\"a}sentiert. Zun{\"a}chst wird mit Phthalocyanin auf Ag(111) demonstriert, dass die Interferenz von ballistischen Ladungstr{\"a}gern auf Distanzen von wenigen Nanometern mit dieser Technik detektierbar ist. Im zweiten Teil zeigt sich, dass der ballistische Transport auf einer Pd(110)-Oberfl{\"a}che durch die anisotrope Reihenstruktur auf atomarer Skala moduliert wird.}, subject = {Rastertunnelmikroskopie}, language = {de} } @phdthesis{Gottscholl2022, author = {Gottscholl, Andreas Paul}, title = {Optical Accessible Spin Defects in Hexagonal Boron Nitride: Identification, Control and Application of the Negatively Charged Boron Vacancy VB-}, doi = {10.25972/OPUS-27432}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-274326}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2022}, abstract = {In this work, a bridge was built between the so-far separate fields of spin defects and 2D systems: for the first time, an optically addressable spin defect (VB-) in a van der Waals material (hexagonal boron nitride) was identified and exploited. The results of this thesis are divided into three topics as follows: 1.) Identification of VB-: In the scope of this chapter, the defect ,the negatively charged boron vacancy VB-, is identified and characterized. An initialization and readout of the spin state can be demonstrated optically at room temperature and its spin Hamiltonian contributions can be quantified. 2.) Coherent Control of VB-: A coherent control is required for the defect to be utilized for quantum applications, which}, subject = {Bornitrid}, language = {en} } @phdthesis{Betzold2022, author = {Betzold, Simon}, title = {Starke Licht-Materie-Wechselwirkung und Polaritonkondensation in hemisph{\"a}rischen Mikrokavit{\"a}ten mit eingebetteten organischen Halbleitern}, doi = {10.25972/OPUS-26665}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-266654}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2022}, abstract = {Kavit{\"a}ts-Exziton-Polaritonen (Polaritonen) sind hybride Quasiteilchen, die sich aufgrund starker Kopplung von Halbleiter-Exzitonen mit Kavit{\"a}tsphotonen ausbilden. Diese Quasiteilchen weisen eine Reihe interessanter Eigenschaften auf, was sie einerseits f{\"u}r die Grundlagenforschung, andererseits auch f{\"u}r die Entwicklung neuartiger Bauteile sehr vielversprechend macht. Bei Erreichen einer ausreichend großen Teilchendichte geht das System in den Exziton-Polariton-Kondensationszustand {\"u}ber, was zur Emission von laserartigem Licht f{\"u}hrt. Organische Halbleiter als aktives Emittermaterial zeigen in diesem Kontext großes Potential, da deren Exzitonen neben großen Oszillatorst{\"a}rken auch hohe Bindungsenergien aufweisen. Deshalb ist es m{\"o}glich, unter Verwendung organischer Halbleiter selbst bei Umgebungsbedingungen {\"a}ußerst stabile Polaritonen zu erzeugen. Eine wichtige Voraussetzung zur Umsetzung von integrierten opto-elektronischen Bauteilen basierend auf Polaritonen ist der kontrollierte r{\"a}umliche Einschluss sowie die Realisierung von frei konfigurierbaren Potentiallandschaften. Diese Arbeit besch{\"a}ftigt sich mit der Entwicklung und der Untersuchung geeigneter Plattformen zur Erzeugung von Exziton-Polaritonen und Polaritonkondensaten in hemisph{\"a}rischen Mikrokavit{\"a}ten, in die organische Halbleiter eingebettet sind.}, subject = {Exziton-Polariton}, language = {de} } @phdthesis{Fischer2023, author = {Fischer, Mathias}, title = {Transient Phenomena and Ionic Kinetics in Hybrid Metal Halide Perovskite Solar Cells}, doi = {10.25972/OPUS-32220}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-322204}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2023}, abstract = {The fact that photovoltaics is a key technology for climate-neutral energy production can be taken as a given. The question to what extent perovskite will be used for photovoltaic technologies has not yet been fully answered. From a photophysical point of view, however, it has the potential to make a useful contribution to the energy sector. However, it remains to be seen whether perovskite-based modules will be able to compete with established technologies in terms of durability and cost efficiency. The additional aspect of ionic migration poses an additional challenge. In the present work, primarily the interaction between ionic redistribution, capacitive properties and recombination dynamics was investigated. This was done using impedance spectroscopy, OCVD and IV characteristics as well as extensive numerical drift-diffusion simulations. The combination of experimental and numerical methods proved to be very fruitful. A suitable model for the description of solar cells with respect to mobile ions was introduced in chapter 4.4. The formal mathematical description of the model was transferred by a non-dimensionalization and suitable numerically solvable form. The implementation took place in the Julia language. By intelligent use of structural properties of the sparse systems of equations, automatic differentiation and the use of efficient integration methods, the simulation tool is not only remarkably fast in finding the solution, but also scales quasi-linearly with the grid resolution. The software package was released under an open source license. In conventional semiconductor diodes, capacitance measurements are often used to determine the space charge density. In the first experimental chapter 5, it is shown that although this is also possible for the ionic migration present in perovskites, it cannot be directly understood as doping related, since the space charge distribution strongly depends on the preconditions and can be manipulated by an externally applied voltage. The exact form of this behavior depends on the perovskite composition. This shows, among other things, that experimental results can only be interpreted within the framework of conventional semiconductors to a very limited extent. Nevertheless, the built-in 99 potential of the solar cell can be determined if the experiments are carried out properly. A statement concerning the type and charge of the mobile ions is not possible without further effort, while their number can be determined. The simulations were applied to experimental data in chapter 6. Thus, it could be shown that mobile ions make a significant contribution to the OCVD of perovskite solar cells. j-V characteristics and OCVD transients measured as a function of temperature and illumination intensities could be quantitatively modeled simultaneously using a single global set of parameters. By the simulations it was further possible to derive a simple experimental procedure to determine the concentration and the diffusivity of the mobile ions. The possibility of describing different experiments in a uniform temperaturedependent manner strongly supports the model of mobile ions in perovskites. In summary, this work has made an important contribution to the elucidation of ionic contributions to the (photo)electrical properties of perovskite solar cells. Established experimental techniques for conventional semiconductors have been reinterpreted with respect to ionic mass transport and new methods have been proposed to draw conclusions on the properties for ionic transport. As a result, the published simulation tools can be used for a number of further studies.}, subject = {Simulation}, language = {en} } @phdthesis{Schwemmer2023, author = {Schwemmer, Tilman}, title = {Relativistic corrections of Fermi surface instabilities}, doi = {10.25972/OPUS-31964}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-319648}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2023}, abstract = {Relativistic effects crucially influence the fundamental properties of many quantum materials. In the accelerated reference frame of an electron, the electric field of the nuclei is transformed into a magnetic field that couples to the electron spin. The resulting interaction between an electron spin and its orbital angular momentum, known as spin-orbit coupling (SOC), is hence fundamental to the physics of many condensed matter phenomena. It is particularly important quantitatively in low-dimensional quantum systems, where its coexistence with inversion symmetry breaking can lead to a splitting of spin degeneracy and spin momentum locking. Using the paradigm of Landau Fermi liquid theory, the physics of SOC can be adequately incorporated in an effective single particle picture. In a weak coupling approach, electronic correlation effects beyond single particle propagator renormalization can trigger Fermi surface instabilities such as itinerant magnetism, electron nematic phases, superconductivity, or other symmetry broken states of matter. In this thesis, we use a weak coupling-based approach to study the effect of SOC on Fermi surface instabilities and, in particular, superconductivity. This encompasses a weak coupling renormalization group formulation of unconventional superconductivity as well as the random phase approximation. We propose a unified formulation for both of these two-particle Green's function approaches based on the notion of a generalized susceptibility. In the half-Heusler semimetal and superconductor LuPtBi, both SOC and electronic correlation effects are prominent, and thus indispensable for any concise theoretical description. The metallic and weakly dispersive surface states of this material feature spin momentum locked Fermi surfaces, which we propose as a possible domain for the onset of unconventional surface superconductivity. Using our framework for the analysis of Fermi surface instability and combining it with ab-initio density functional theory calculations, we analyse the surface band structure of LuPtBi, and particularly its propensity towards Cooper pair formation. We study how the presence of strong SOC modifies the classification of two-electron wave functions as well as the screening of electron-electron interactions. Assuming an electronic mechanism, we identify a chiral superconducting condensate featuring Majorana edge modes to be energetically favoured over a wide range of model parameters.}, subject = {Supraleitung}, language = {en} } @phdthesis{Scheffler2023, author = {Scheffler, Lukas}, title = {Molecular beam epitaxy of the half-Heusler antiferromagnet CuMnSb}, doi = {10.25972/OPUS-32283}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-322839}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2023}, abstract = {This work presents a newly developed method for the epitaxial growth of the half-Heusler antiferromagnet CuMnSb. All necessary process steps, from buffer growth to the deposition of a protective layer, are presented in detail. Using structural, electrical, and magnetic characterization, the material parameters of the epitaxial CuMnSb layers are investigated. The successful growth of CuMnSb by molecular beam epitaxy is demonstrated on InAs (001), GaSb (001), and InP (001) substrates. While CuMnSb can be grown pseudomorphically on InAs and GaSb, the significant lattice mismatch for growth on InP leads to relaxation already at low film thicknesses. Due to the lower conductivity of GaSb compared to InAs, GaSb substrates are particularly suitable for the fabrication of CuMnSb layers for lateral electrical transport experiments. However, by growing a high-resistive ZnTe interlayer below the CuMnSb layer, lateral transport experiments on CuMnSb layers grown on InAs can also be realized. Protective layers of Ru and Al2O3 have proven to be suitable for protecting the CuMnSb layers from the environment. Structural characterization by high resolution X-ray diffraction (full width at half maximum of 7.7 ′′ of the rocking curve) and atomic force microscopy (root mean square surface roughness of 0.14 nm) reveals an outstanding crystal quality of the epitaxial CuMnSb layers. The half-Heusler crystal structure is confirmed by scanning transmission electron microscopy and the stoichiometric material composition by Rutherford backscattering spectrometry. In line with the high crystal quality, a new minimum value of the residual resistance of CuMnSb (𝜌0 = 35 μΩ ⋅ cm) could be measured utilizing basic electrical transport experiments. An elaborate study of epitaxial CuMnSb grown on GaSb reveals a dependence of the vertical lattice parameter on the Mn/Sb flux ratio. This characteristic enables the growth of tensile, unstrained, and compressive strained CuMnSb layers on a single substrate material. Additionally, it is shown that the N{\´e}el temperature has a maximum of 62 K at stoichiometric material composition and thus can be utilized as a selection tool for stoichiometric CuMnSb samples. Mn-related defects are believed to be the driving force for these observations. The magnetic characterization of the epitaxial CuMnSb films is performed by superconducting quantum interference device magnetometry. Magnetic behavior comparable to the bulk material is found, however, an additional complex magnetic phase appears in thin CuMnSb films and/or at low magnetic fields, which has not been previously reported for CuMnSb. This magnetic phase is believed to be localized at the CuMnSb surface and exhibits both superparamagnetic and spin-glass-like behavior. The exchange bias effect of CuMnSb is investigated in combination with different in- and out-of-plane ferromagnets. It is shown that the exchange bias effect can only be observed in combination with in-plane ferromagnets. Finally, the first attempts at the growth of fully epitaxial CuMnSb/NiMnSb heterostructures are presented. Both magnetic and structural studies by secondary-ion mass spectrometry indicate the interdiffusion of Cu and Ni atoms between the two half-Heusler layers, however, an exchange bias effect can be observed for the CuMnSb/NiMnSb heterostructures. Whether this exchange bias effect originates from exchange interaction between the CuMnSb and NiMnSb layers, or from ferromagnetic inclusions in the antiferromagnetic layer can not be conclusively identified.}, subject = {Molekularstrahlepitaxie}, language = {en} } @phdthesis{Kagerer2024, author = {Kagerer, Philipp Thomas}, title = {Two-Dimensional Ferromagnetism and Topology at the Surface of MnBi\(_2\)Te\(_4\) - Bi\(_2\)Te\(_3\) Heterostructures - MBE Growth, Magnetism and Electronic Properties}, doi = {10.25972/OPUS-36012}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-360121}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2024}, abstract = {In this thesis, a model system of a magnetic topological heterostructure is studied, namely a heterosystem consisting of a single ferromagnetic septuple-layer (SL) of \(MnBi_2Te_4\) on the surface of the three-dimensional topological insulator \(Bi_2Te_3\). Using MBE and developing a specialized experimental setup, the first part of this thesis deals with the growth of \(Bi_2Te_3\) and thin films of \(MnBi_2Te_4\) on \(BaF_2\)-substrates by the co-evaporation of its binary constituents. The structural analysis is conducted along several suitable probes such as X-ray diffraction (XRD, XRR), AFM and scanning tunnelling electron microscopy (STEM). It is furthermore found that the growth of a single septuple-layer of \(MnBi_2Te_4\) on the surface of \(Bi_2Te_3\) can be facilitated. By using X-ray absorption and circular magnetic dichroism (XAS, XMCD), the magnetic properties of \(MnBi_2Te_4\) are explored down to the monolayer limit. The layered nature of the vdW crystal and a strong uniaxial magnetocrystalline anisotropy establish stable out-of plane magnetic order at the surface of \(MnBi_2Te_4\), which is stable even down to the 2D limit. Pushing the material system to there, i.e. a single SL \(MnBi_2Te_4\) further allows to study the phase transition of this 2D ferromagnet and extract its critical behaviour with \(T_c \, = \, 14.89~k\) and \(\beta \, = \, 0.484\). Utilizing bulk crystals of the ferromagnetic \(Fe_3GeTe_2\) as substrate allows to influence, enhance and bias the magnetism in the single SL of \(MnBi_2Te_4\). By growing heterostructures of the type \(MnBi_2Te_4\) -- n layer \(Bi_2Te_3\) -- \(Fe_3GeTe_2\)for n between 0 and 2, it is shown, that a considerable magnetic coupling can be introduced between the \(MnBi_2Te_4\) top-layer and the substrate. Finally the interplay between topology and magnetism in the ferromagnetic extension is studied directly by angle-resolved photoemission spectroscopy. The heterostructure is found to host a linearly dispersing TSS at the centre of the Brillouin zone. Using low temperature and high-resolution ARPES a large magnetic gap opening of \(\sim\) 35 meV is found at the Dirac point of the TSS. By following its temperature evolution, it is apparent that the scaling behaviour coincides with the magnetic order parameter of the modified surface.}, subject = {Molekularstrahlepitaxie}, language = {en} }