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Using k · p theory, we derive an effective four-band model describing the physics of the typical two-dimensional topological insulator (HgTe/CdTe quantum well (QW)) in the presence of an out-of-plane (in the z-direction) inversion breaking potential and an in-plane potential. We find that up to third order in perturbation theory, only the inversion breaking potential generates new elements to the four-band Hamiltonian that are off-diagonal in spin space. When this new effective Hamiltonian is folded into an effective twoband model for the conduction (electron) or valence (heavy hole) bands, two competing terms appear: (i) a Rashba spin–orbit interaction originating from inversion breaking potential in the z-direction and (ii) an in-plane Pauli term as a consequence of the in-plane potential. Spin transport in the conduction band is further analysed within the Landauer–Büttiker formalism. We find that for asymmetrically doped HgTe QWs, the behaviour of the spin-Hall conductance is dominated by the Rashba term.
Background: Transgenic mouse models are increasingly used to study the pathophysiology of human cardiovascular diseases. The aortic pulse wave velocity (PWV) is an indirect measure for vascular stiffness and a marker for cardiovascular risk. Results: This study presents a cardiovascular magnetic resonance (CMR) transit time (TT) method that allows the determination of the PWV in the descending murine aorta by analyzing blood flow waveforms. Systolic flow pulses were recorded with a temporal resolution of 1 ms applying phase velocity encoding. In a first step, the CMR method was validated by pressure waveform measurements on a pulsatile elastic vessel phantom. In a second step, the CMR method was applied to measure PWVs in a group of five eight-month-old apolipoprotein E deficient (ApoE(-/-)) mice and an age matched group of four C57Bl/6J mice. The ApoE(-/-) group had a higher mean PWV (PWV = 3.0 ± 0.6 m/s) than the C57Bl/6J group (PWV = 2.4 ± 0.4 m/s). The difference was statistically significant (p = 0.014). Conclusions: The findings of this study demonstrate that high field CMR is applicable to non-invasively determine and distinguish PWVs in the arterial system of healthy and diseased groups of mice.
The present thesis deals with surface treatment, material improvement, and the electronic structure of the diluted magnetic semiconductor (Ga,Mn)As. The two key issues are the preparation of clean surfaces and the observation of potential valence hybridizations in (Ga,Mn)As by means of photoemission spectroscopy. Several cleaning methods are applied individually to (Ga,Mn)As and their e ects are compared in detail by various methods. Based on the results of each method, a sophisticated recipe has been elaborated, which provides clean, stoichiometric, and reconstructed surfaces, even if the sample was exposed to air prior to preparation. Moreover, the recipe works equally well for intentionally oxidized surfaces. The individual advantages of ex-situ wet- chemical etching and in situ ion-milling and tempering can be combined in an unique way. In regard to the post-growth annealing in order to optimize the electronic and magnetic properties of (Ga,Mn)As, the effect of surface segregation of interstitial Mn was quantifed. It turns out that the Mn concentration at the surface increases by a factor 4.3 after annealing at 190 C for 150 h. The removal of the segregated and oxidized species by wet-chemical etching allows a tentative estimate of the content of interstitial Mn. 19-23% of the overall Mn content in as-grown samples resides on interstitial positions. The complementary results of core level photoemission spectroscopy and resonant photoemission spectroscopy give hints to the fact that a sizeable valence hybridization of Mn is present in (Ga,Mn)As. This outlines that the simple Mn 3d5-con guration is too naive to refect the true electronic structure of substitutional Mn in (Ga,Mn)As. Great similarities in the core level spectra are found to MnAs. The bonding is thus dominantly of covalent, not ionic, character. Transport measurements, in particular for very low temperatures (<10 K), are in agreement with previous results. This shows that at low temperature, the conduction is mainly governed by variable-range hopping which is in line with the presence of an impurity band formed by substitutional Mn. In the light of the presented results, it is therefore concluded that a double-exchange interaction is the dominant mechanism leading to ferromagnetic coupling in (Ga,Mn)As. The valence hybridization and the presents of an impurity band, both of which are inherent properties of substitutional Mn, are indications for a double-exchange scenario, being at variance to a RKKY-based explanation. Contributions from a RKKY-like mechanism cannot definitely be excluded, however, they are not dominant.
In this thesis the electronic and magnetic structure of the transition metal oxyhalides TiOCl, TiOBr and VOCl is investigated. The main experimental methods are photoemission (PES) and x-ray absorption (XAS) spectroscopy as well as resonant inelastic x-ray scattering (RIXS). The results are compared to density-functional theory, and spectral functions from dynamical mean-field theory and different kinds of model calculations. Questions addressed here are those of the dimensionality of the magnetic and electronic interactions, the suitability of the oxyhalides as prototypical strongly correlated model systems, and the possibility to induce a filling-controlled insulator-metal transition. It turns out that TiOCl is a quasi-one-dimensional system with non-negligible two-dimensional coupling, while the one-dimensional character is already quite suppressed in TiOBr. In VOCl no signatures of such one-dimensional behavior remain, and it is two-dimensional. In all cases, frustrations induced by the crystal lattice govern the magnetic and electronic properties. As it turns out, although the applied theoretical approaches display improvements compared to previous studies, the differences to the experimental data still are at least partially of qualitative instead of quantitative nature. Notably, using RIXS, it is possible for the first time in TiOCl to unambiguously identify a two-spinon excitation, and the previously assumed energy scale of magnetic excitations can be confirmed. By intercalation of alkali metal atoms (Na, K) the oxyhalides can be doped with electrons, which can be evidenced and even quantified using x-ray PES. In these experiments, also a particular vertical arrangement of dopants is observed, which can be explained, at least within experimental accuracy, using the model of a so-called "polar catastrophe". However, no transition into a metallic phase can be observed upon doping, but this can be understood qualitatively and quantitatively within an alloy Hubbard model due to the impurity potential of the dopants. Furthermore, in a canonical way a transfer of spectral weight can be observed, which is a characteristic feature of strongly correlated electron systems. Overall, it can be stated that the transition metal oxyhalides actually can be regarded as prototypical Mott insulators, yet with a rich phase diagram which is far from being fully understood.
The present thesis is concerned with molecular beam epitaxy of magnetite (Fe3O4) thin films on semiconducting substrates and the characterization of their structural, chemical, electronic, and magnetic properties. Magnetite films could successfully be grown on ZnO substrates with high structural quality and atomically abrupt interfaces. The films are structurally almost completely relaxed exhibiting nearly the same in-plane and out-of-plane lattice constants as in the bulk material. Films are phase-pure and show only small deviations from the ideal stoichiometry at the surface and in some cases at the interface. Growth proceeds via wetting layer plus island mode and results in a domain structure of the films. Upon coalescence of growing islands twin-boundaries (rotational twinning) and anti-phase boundaries are formed. The overall magnetization is nearly bulk-like, but shows a slower approach to saturation, which can be ascribed to the reduced magnetization at anti-phase boundaries. However, the surface magnetization which was probed by x-ray magnetic circular dichroism was significantly decreased and is ascribed to a magnetically inactive layer at the surface. Such a reduced surface magnetization was also observed for films grown on InAs and GaAs. Magnetite could also be grown with nearly ideal iron-oxygen stoichiometry on InAs substrates. However, interfacial reactions of InAs with oxygen occur and result in arsenic oxides and indium enrichment. The grown films are of polycrystalline nature. For the fabrication of Fe3O4/GaAs films, a postoxidation of epitaxial Fe films on GaAs was applied. Growth proceeds by a transformation of the topmost Fe layers into magnetite. Depending on specific growth conditions, an Fe layer of different thickness remains at the interface. The structural properties are improved in comparison with films on InAs, and the resulting films are well oriented along [001] in growth direction. The magnetic properties are influenced by the presence of the Fe interface layer as well. The saturation magnetization is increased and the approach to saturation is faster than for films on the other substrates. We argue that this is connected to a decreased density of anti-phase boundaries because of the special growth method. Interface phases, viz. arsenic and gallium oxides, are quantified and different growth conditions are compared with respect to the interface composition.
In the frame of this thesis vibronic and electronic states of organic molecules have been examined. A central question is the interaction within and between the molecules in thin films and at metal-organic interfaces. The main experimental tools were high resolution electron energy loss spectroscopy (HREELS) and high resolution near edge X-ray absortion fine structure (NEXFAS). The electronic and vibronic structure of thin NTCDA films was examined with low energy electrons as probe, i.e. HREELS. The spectra of the electronic excited molecular orbitals of submonolayer NTCDA on a Ag(111) shows a partially filled orbital. The interaction between this orbital and the total symetric molecular vibrations leads to the typical Fano peak profiles which are seen in the vibrational spectra. The sub-monolayer superstructure can be driven to a phase transition into an disordered phase upon cooling, which is also seen in the electronic and vibronic excitation spectra. Multilayers show flat lying or upright standing molecules as a function of the preparation conditions. The upright standing molecules show an island growth mode, where the islands are well ordered and exhibit a structure in diffraction experiments which can be attributed to the molecular crystal structure. In order to examine the order in more detail various thin films were examined using SPALEED as function of film thickness and preparation parameters. In case of a low temperature substrate no long range order leading to a diffraction pattern was found. In contrast growth on room temperature substrates leads to island growth of films in a structure of the molecular crystal, where two preferred orientations of the islands relative to the substrate were found. In case of thick films the reference to the substrate gets lost and the molecular crystals grow with a defined crystal direction with respect to the surface but with an arbitrary azimuthal orientation leading to circles in the diffraction pattern. NTCDA monolayers on a Ag(111) surface using HREELS as a tool were examined. The electronic excitation spectra reveal a partially filled molecular orbital which is strongly shifted compared to the multilayer. The existence of this state is responsible for the activation of normally forbidden Ag modes in the vibrational spectra. Due to the electron phonon coupling these modes exhibit a Fano like peak shape. Cooling a monolayer leads to a phase transition with strong changes in the spectroscopic features both in electronic and vibronic excitations. In case of the molecule ANQ the intramolecular interaction was examined. In the oxygen NEXAFS spectra a vibronic fine structure is found, which leads to the conclusion that asymmetric potentials are involved. It is an interesting question if the fundamental vibration is has C-H or C=O character. In order to address this question spectra of condensed and gas phase ANQ were compared to an ANQ derivate (ANQ- Br$_2$Cl$_2$), with the conclusion that the coupling is most likely to a C=O mode. High resolution C1s spectra of hydrogenated and fully deuterated naphthalene both in gas and condensed phase have been presented. Depending on the final state orbital distinct differences have been found between gas and condensed phase. A energetic shift of resonances (Res. B, C, D) is interpreted as effect of $\pi$-$\pi$ interaction in the condensed phase. This is especially notable for resonance B which is undoubtly assigned to an excitation into a $\pi^*$ orbital. The results lead to an interpretation, that for organic molecular crystals more than pure van-derWaals interaction has to be taken into account. In summary it is found that the intramolecular interaction in NEXAFS spectra is preferentially coupled to one or a few vibronic progressions. Due to the delocalized electronic system maybe even states which are not spatially near the core excited atom can be involved. It could be shown that a condensation of the molecules in thin films leads to changes within the spectra. The influence the intermolecular interaction can be clearly seen in this finding, where additional hints are found that more than mere van-der-Waals binding has to be taken into account.
Within the framework of this thesis the mechanisms of growth and reorganisation of surfaces within the first few layers were investigated that are the basis for the fabrication of high quality thin films and interfaces. Two model systems, PTCDA/Ag(111) and CdSe/ZnSe quantum dots (QD), were chosen to study such processes in detail and to demonstrate the power and improvements of the aberration corrected spectromicroscope SMART [1] simultaneously. The measurements benefit especially from the enhanced transmission of the microscope and also from its improved resolution. SMART, the first double–aberration corrected instrument of its kind [2], provided comprehensive methods (LEEM/PEEM, μ–LEED, μ–XPS) to study in–situ and in real time the surface reorganisation and to determine morphology, local structure and local chemical composition of the resulting thin film. Complementarily, a commercial AFM [3] was used ex–situ. XPEEM and μ–XPS measurements were made possible by attaching SMART to the high flux density beamline of the soft–X–ray source BESSY–II [4]. PTCDA/Ag(111) – Growth and structure of the first two layers Although PTCDA/Ag(111) is one of the most intensely studied model systems for the growth of organic semiconductor thin films, it still offers new insights into a complex growth behaviour. This study enlightens the temperature dependant influence of morphological features as small as monatomic Ag steps on the growth process of the first two layers. At low temperatures, single Ag steps act as diffusion barriers. But interdiffusion was observed already for the 2nd layer whereas domain boundaries in the 1st PTCDA–layer persist for crystallite growth in the 2nd layer. 1st layer islands are more compact and the more dendritic development of the 2nd layer indicates reduced interaction strength between 2nd and 1st layer. These findings were explained by a model consisting of structural and potential barriers. The second part of the PTCDA study reveals a variety of phases that appears only if at least two layers are deposited. Besides the six known rotational domains of the interface system PTCDA/Ag(111) [5], a further manifold of structures was discovered. It does not only show a surprising striped image contrast, but the 2nd layer also grows in an elongated way along these so–called ’ripples’. The latter show a rather large period and were found in a wide temperature range. Additionally the μ-LEED pattern of such a domain shows a new super–superstructure as well. This phase is explained by a structural model that introduces a rotated, more relaxed domain in the 2nd layer that does not exist in the first layer. Its structural parameters are similar to those of the bulk unitcells of PTCDA. The model is confirmed by the observation of two different rotational domains that grow on top of one single ’substrate’ domain in the 1st layer. The orientations of the ripple phases fit as well to the predictions of the model. The growth direction along the ripples corresponds to the short diagonal of the super–superstructure unitcell with diamond–like shape. CdSe/ZnSe – Inverse structuring by sublimation of an α-Te cap With the second model system the formation of CdSe quantum dots (QD) from strained epi-layers was investigated. In this case the structures do not form during deposition, but rather during sublimation of the so–called ‘ignition cap’. For these pilot experiments not only the process of QD formation itself was of interest, but also the portability of the preparation and the prevention of contaminations. It was found that the α-Se is well suited for capping and the last step of the QD preparation, the sublimation of the α-Te cap, needs a sufficiently high rate in rise of temperature. Subsequently the cap, the process of desorption and the final surface with the quantum structures were investigated in detail. The cap was deposited by the MBE-group in Würzburg as an amorphous Te layer but was found to contain a variety of structures. Holes, cracks, and micro–crystallites within an α-Te matrix were identified. Sublimation of the “ignition cap” was observed in real–time. Thus the discovered cap-structures could be correlated with the newly formed features as, e.g., QDs on the bare CdSe surface. Since CdSe/ZnSe QDs prefer to form in the neighbourhood of the Te μ–crystallites, Te was found to play a major role in their formation process. Different explanations as the impact of Te as a surfactant, an enhanced mobility of adatoms or as stressor nuclei are discussed. The spectromicroscopic characterisation of the CdSe surface with QDs revealed the crystallographic directions. An increased Cd signal of the film was found at positions of former holes. Several possibilities as segregation or surface termination are reviewed, that might explain this slight Cd variation. Therewith, an important step to a detailed understanding of the complex reorganisation process in coating systems could be achieved.
Background Transgenic mouse models are increasingly used to study the pathophysiology of human cardiovascular diseases. The aortic pulse wave velocity (PWV) is an indirect measure for vascular stiffness and a marker for cardiovascular risk. Results This work presents three MR-methods that allow the determination of the PWV in the descending murine aorta by analyzing blood flow waveforms, arterial distension waveforms, and a method that uses the combination of flow and distension waveforms. Systolic flow pulses were recorded with a temporal resolution of 1 ms applying phase velocity encoding. In a first step, the MR methods were validated by pressure waveform measurements on pulsatile elastic vessel phantoms. In a second step, the MR methods were applied to measure PWVs in a group of five eight-month-old apolipoprotein E deficient (ApoE(-/-)) mice and an age matched group of four C57Bl/6J mice. The ApoE(-/-) group had a higher mean PWV than the C57Bl/6J group. Depending on the measurement technique, the differences were or were not statistically significant. Conclusions The findings of this study demonstrate that high field MRI is applicable to non-invasively determine and distinguish PWVs in the arterial system of healthy and diseased groups of mice.
In the context of the ongoing discussion about a carrier-induced ferromagnetic phase transition in diluted-magnetic II-VI semiconductors (DMS), theoretical studies on coherent dynamics of localized spins coupled with a two-dimensional hole gas (2DHG) in DMS quantum wells (QWs) were done by K.V. KAVOKIN. His key for studying the exchange interaction of the localized spin ensemble (e.g. Mn2+) with the 2DHG is the Larmor frequency of the localized Mn-ion spins and thus their Mn-g-factor. It was shown that the 2DHG affects a time evolution of the (Mn-) spin system in an in-plane magnetic field resulting in the reduction of its Larmor frequency (Mn-g-factor) under the influence of an oscillating effective field of holes. This is called magnetic soft mode (behaviour). The experimental access for demonstrating this Mn-g-factor reduction with increasing hole concentration is the method of Multi-Spin-Flip (SF) Raman scattering combined with the variation of the carrier concentration by photo-excitation with an additional light source (two-colour experiment). The main motivation for this thesis was the experimental confirmation of the theoretically predicted magnetic soft mode and the analysis of its dependence on the hole-concentration and external B-field, as well as its disappearance with increasing sample temperature. For that purpose, CdMnTe/CdMgTe QWs (Mn: 0.6%, 1.0%) positioned close to the sample surface (13−19nm) were investigated in an in-plane applied external magnetic field (up to 4.5T in Voigt-geometry) via a two-colour experiment i.e. using two light sources. This allows the spin excitation of Mn-ions by simultaneously tuning the hole-concentration towards the ferromagnetic phase transition by photo-generated carriers. Thus, one tuneable laser is responsible for resonant below-barrier excitation as a probe for Multi-SF Raman scattering. The other laser excites photo-generated carriers from above barrier (2.41eV) for tuning the hole concentration in the QW. Positioning the QW close to the sample surface causes a surface-induced p-doping of the QW (intrinsic hole concentration in the QW) and enables the active tuning of the hole concentration by photo-generated carriers due to different tunnelling behaviour of electrons and holes from the QW to the surface. The Mn-g-factor was decreased by quasi-continuously increasing the above-barrier illumination (and thus the hole concentration), while the below-barrier excitation (Multi-PR probe) was kept at a constant low power. This results in a Mn-g-factor reduction starting from its atomic value g=2.01 to lowest evaluated Mn-g-factor in this thesis g=1.77. This is a magnetic softening of 12%. Apart from the general magnetic soft mode behaviour at low temperatures, one of the main experimental results in this thesis is the confirmation of the theoretical prediction that the magnetic soft mode behaviour in the external B-field does not only depend on the carrier concentration but also on the B-field strength itself. An additional aspect is the temperature dependence of the magnetic soft mode. The Mn-g-factor decrease is suppressed with increasing temperature almost reaching the atomic Mn-g-factor at 4.2K (g=1.99). This behaviour is due to the T-induced weakening of the transverse 2DHG spin susceptibility. The results of the investigations concerning the cap layer thickness impact on the QW carrier characteristics were investigated in the cap thickness range of 13nm to 19nm. The cap thickness configures on the one hand the intrinsic hole concentration of the QW ("2DHG offset") due to the surface-induced p-doping and sets the "starting point" for the Mn-g-factor reduction. On the other hand the cap thickness determines the probability of electron tunnelling to the surface and thus the efficiency of the hole tuning by light. The latter is the criterion for the range of Mn-g-factor reduction by light. This two dependences were pointed out by the photo-generated hole influence on the QW PL-spectra which results in tuning the exciton-trion ratio. In summary both mechanisms are of relevance for the hole tuning and thus for the magnetic soft-mode behaviour. The mechanism of tunnelling time prevails at small cap layer thicknesses while the surface-induced p-doping plays the major role for larger cap thicknesses (> 25nm). In conclusion, the presented method in this thesis is a sensitive tool to study the dynamics of the spin excitations and the paramagnetic susceptibility in the vicinity of the hole-induced ferromagnetic phase transition.