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This thesis is focussed on the electronic properties of the new material class named topological insulators. Spin and angle resolved photoelectron spectroscopy have been applied to reveal several unique properties of the surface state of these materials. The first part of this thesis introduces the methodical background of these quite established experimental techniques.
In the following chapter, the theoretical concept of topological insulators is introduced. Starting from the prominent example of the quantum Hall effect, the application of topological invariants to classify material systems is illuminated. It is explained how, in presence of time reversal symmetry, which is broken in the quantum Hall phase, strong spin orbit coupling can drive a system into a topologically non trivial phase. The prediction of the spin quantum Hall effect in two dimensional insulators an the generalization to the three dimensional case of topological insulators is reviewed together with the first experimental realization of a three dimensional topological insulator in the Bi1-xSbx alloys given in the literature.
The experimental part starts with the introduction of the Bi2X3 (X=Se, Te) family of materials. Recent theoretical predictions and experimental findings on the bulk and surface electronic structure of these materials are introduced in close discussion to our own experimental results. Furthermore, it is revealed, that the topological surface state of Bi2Te3 shares its orbital symmetry with the bulk valence band and the observation of a temperature induced shift of the chemical potential is to a high probability unmasked as a doping effect due to residual gas adsorption.
The surface state of Bi2Te3 is found to be highly spin polarized with a polarization value of about 70% in a macroscopic area, while in Bi2Se3 the polarization appears reduced, not exceeding 50%. We, however, argue that the polarization is most likely only extrinsically limited in terms of the finite angular resolution and the lacking detectability of the out of plane component of the electron spin. A further argument is based on the reduced surface quality of the single crystals after cleavage and, for Bi2Se3 a sensitivity of the electronic structure to photon exposure.
We probe the robustness of the topological surface state in Bi2X3 against surface impurities in Chapter 5. This robustness is provided through the protection by the time reversal symmetry. Silver, deposited on the (111) surface of Bi2Se3 leads to a strong electron doping but the surface state is observed up to a deposited Ag mass equivalent to one atomic monolayer. The opposite sign of doping, i.e., hole-like, is observed by exposing oxygen to Bi2Te3. But while the n-type shift of Ag on Bi2Se3 appears to be more or less rigid, O2 is lifting the Dirac point of the topological surface state in Bi2Te3 out of the valence band minimum at $\Gamma$. After increasing the oxygen dose further, it is possible to shift the Dirac point to the Fermi level, while the valence band stays well beyond. The effect is found reversible, by warming up the samples which is interpreted in terms of physisorption of O2.
For magnetic impurities, i.e., Fe, we find a similar behavior as for the case of Ag in both Bi2Se3 and Bi2Te3. However, in that case the robustness is unexpected, since magnetic impurities are capable to break time reversal symmetry which should introduce a gap in the surface state at the Dirac point which in turn removes the protection. We argue, that the fact that the surface state shows no gap must be attributed to a missing magnetization of the Fe overlayer. In Bi2Te3 we are able to observe the surface state for deposited iron mass equivalents in the monolayer regime. Furthermore, we gain control over the sign of doping through the sample temperature during deposition.
Chapter6 is devoted to the lifetime broadening of the photoemission signal from the topological surface states of Bi2Se3 and Bi2Te3. It is revealed that the hexagonal warping of the surface state in Bi2Te3 introduces an anisotropy for electrons traveling along the two distinct high symmetry directions of the surface Brillouin zone, i.e., $\Gamma$K and $\Gamma$M. We show that the phonon coupling strength to the surface electrons in Bi2Te3 is in nice agreement with the theoretical prediction but, nevertheless, higher than one may expect. We argue that the electron-phonon coupling is one of the main contributions to the decay of photoholes but the relatively small size of the Fermi surface limits the number of phonon modes that may scatter off electrons. This effect is manifested in the energy dependence of the imaginary part of the electron self energy of the surface state which shows a decay to higher binding energies in contrast to the monotonic increase proportional to E$^2$ in the Fermi liquid theory due to electron-electron interaction.
Furthermore, the effect of the surface impurities of Chapter 5 on the quasiparticle life- times is investigated. We find that Fe impurities have a much stronger influence on the lifetimes as compared to Ag. Moreover, we find that the influence is stronger independently of the sign of the doping. We argue that this observation suggests a minor contribution of the warping on increased scattering rates in contrast to current belief. This is additionally confirmed by the observation that the scattering rates increase further with increasing silver amount while the doping stays constant and by the fact that clean Bi2Se3 and Bi2Te3 show very similar scattering rates regardless of the much stronger warping in Bi2Te3.
In the last chapter we report on a strong circular dichroism in the angle distribution of the photoemission signal of the surface state of Bi2Te3. We show that the color pattern obtained by calculating the difference between photoemission intensities measured with opposite photon helicity reflects the pattern expected for the spin polarization. However, we find a strong influence on strength and even sign of the effect when varying the photon energy. The sign change is qualitatively confirmed by means of one-step photoemission calculations conducted by our collaborators from the LMU München, while the calculated spin polarization is found to be independent of the excitation energy. Experiment and theory together unambiguously uncover the dichroism in these systems as a final state effect and the question in the title of the chapter has to be negated: Circular dichroism in the angle distribution is not a new spin sensitive technique.
Background: The engagement in aggressive behavior in middle childhood is linked to the development of severe problems in later life. Thus, identifying factors and processes that con-tribute to the continuity and increase of aggression in middle childhood is essential in order to facilitate the development of intervention programs. The present PhD thesis aimed at expand-ing the understanding of the development of aggression in middle childhood by examining risk factors in the intrapersonal and interpersonal domains as well as the interplay between these factors: Maladaptive anger regulation was examined as an intrapersonal risk factor; processes that occur in the peer context (social rejection and peer socialization) were included as interpersonal risk factors. In addition, in order to facilitate the in situ assessment of anger regulation strategies, an observational measure of anger regulation was developed and validated.
Method: The research aims were addressed within the scope of four articles. Data from two measurement time points about ten months apart were available for the analyses. Participants were elementary school children aged from 6 to 10 years at T1 and 7 to 11 years at T2. The first article was based on cross-sectional analyses including only the first time point; in the remaining three articles longitudinal associations across the two time points were analyzed. The first two articles were concerned with the development and cross-sectional as well as longitudinal validation of observational measure of anger regulation in middle childhood in a sample of 599 children. Using the same sample, the third article investigated the longitudinal link between maladaptive anger regulation and aggression considering social rejection as a mediating variable. The frequency as well as different functions of aggression (reactive and proactive) were included as outcomes measures. The fourth article examined the influence of class-level aggression on the development of different forms of aggression (relational and physical) over time under consideration of differences in initial individual aggression in a sample of 1,284 children. In addition, it was analyzed if the path from aggression to social rejection varies as a function of class-level aggression.
Results: The first two articles revealed that the observational measure of anger regulation developed for the purpose of this research was cross-sectionally related to anger reactivity, aggression and social rejection as well as longitudinally related to self-reported anger regula-tion. In the third article it was found that T1 maladaptive anger regulation showed no direct link to T2 aggression, but an indirect link through T1 social rejection. This indirect link was found for the frequency of aggression as well as for reactive and proactive aggression. The fourth article revealed that with regard to relational aggression, a high level of classroom ag-gression predicted an increase of individual aggression only among children with initially low levels of aggression. For physical aggression, it was found that the overall level of aggression in the class affected all children equally. In addition, physical aggression increased the likelihood of social rejection irrespective of the class-level of aggression whereas relational aggression caused social rejection only in classes with a generally low level of relational aggression. The analyses of gender-specific effects showed that children were mainly influenced by their same-gender peers and that the effect on the opposite gender was higher if children engaged in gender-atypical forms of aggressive behavior.
Conclusion: The results provided evidence for the construct and criterion validity of the observational measure of maladaptive anger regulation that was developed within the scope of this research. Furthermore, the findings indicated that maladaptive anger regulation constitutes an important risk factor of aggression through the influence of social rejection. Finally, the results demonstrated that the level of aggression among classmates is relevant for the development of individual aggression over time and that the children´s evaluation of relationally aggressive behavior varies as a function of the normativity of relational aggression in the class. The study findings have implications for the measurement of anger regulation in middle childhood as well as for the prevention of aggression and social rejection.
Bad governance causes economic, social, developmental and environmental problems in many developing countries. Developing countries have adopted a number of reforms that have assisted in achieving good governance. The success of governance reform depends on the starting point of each country – what institutional arrangements exist at the out-set and who the people implementing reforms within the existing institutional framework are. This dissertation focuses on how formal institutions (laws and regulations) and informal institutions (culture, habit and conception) impact on good governance. Three characteristics central to good governance - transparency, participation and accountability are studied in the research.
A number of key findings were: Good governance in Hanoi and Berlin represent the two extremes of the scale, while governance in Berlin is almost at the top of the scale, governance in Hanoi is at the bottom. Good governance in Hanoi is still far from achieved. In Berlin, information about public policies, administrative services and public finance is available, reliable and understandable. People do not encounter any problems accessing public information. In Hanoi, however, public information is not easy to access. There are big differences between Hanoi and Berlin in the three forms of participation. While voting in Hanoi to elect local deputies is formal and forced, elections in Berlin are fair and free. The candidates in local elections in Berlin come from different parties, whereas the candidacy of local deputies in Hanoi is thoroughly controlled by the Fatherland Front. Even though the turnout of voters in local deputy elections is close to 90 percent in Hanoi, the legitimacy of both the elections and the process of representation is non-existent because the local deputy candidates are decided by the Communist Party.
The involvement of people in solving local problems is encouraged by the government in Berlin. The different initiatives include citizenry budget, citizen activity, citizen initiatives, etc. Individual citizens are free to participate either individually or through an association.
Lacking transparency and participation, the quality of public service in Hanoi is poor. Citizens seldom get their services on time as required by the regulations. Citizens who want to receive public services can bribe officials directly, use the power of relationships, or pay a third person – the mediator ("Cò" - in Vietnamese).
In contrast, public service delivery in Berlin follows the customer-orientated principle. The quality of service is high in relation to time and cost. Paying speed money, bribery and using relationships to gain preferential public service do not exist in Berlin.
Using the examples of Berlin and Hanoi, it is clear to see how transparency, participation and accountability are interconnected and influence each other. Without a free and fair election as well as participation of non-governmental organisations, civil organisations, and the media in political decision-making and public actions, it is hard to hold the Hanoi local government accountable.
The key differences in formal institutions (regulative and cognitive) between Berlin and Hanoi reflect the three main principles: rule of law vs. rule by law, pluralism vs. monopoly Party in politics and social market economy vs. market economy with socialist orientation.
In Berlin the logic of appropriateness and codes of conduct are respect for laws, respect of individual freedom and ideas and awareness of community development. People in Berlin take for granted that public services are delivered to them fairly. Ideas such as using money or relationships to shorten public administrative procedures do not exist in the mind of either public officials or citizens.
In Hanoi, under a weak formal framework of good governance, new values and norms (prosperity, achievement) generated in the economic transition interact with the habits of the centrally-planned economy (lying, dependence, passivity) and traditional values (hierarchy, harmony, family, collectivism) influence behaviours of those involved.
In Hanoi “doing the right thing” such as compliance with law doesn’t become “the way it is”.
The unintended consequence of the deliberate reform actions of the Party is the prevalence of corruption. The socialist orientation seems not to have been achieved as the gap between the rich and the poor has widened.
Good governance is not achievable if citizens and officials are concerned only with their self-interest. State and society depend on each other. Theoretically to achieve good governance in Hanoi, institutions (formal and informal) able to create good citizens, officials and deputies should be generated. Good citizens are good by habit rather than by nature.
The rule of law principle is necessary for the professional performance of local administrations and People’s Councils. When the rule of law is applied consistently, the room for informal institutions to function will be reduced.
Promoting good governance in Hanoi is dependent on the need and desire to change the government and people themselves. Good governance in Berlin can be seen to be the result of the efforts of the local government and citizens after a long period of development and continuous adjustment.
Institutional transformation is always a long and complicated process because the change in formal regulations as well as in the way they are implemented may meet strong resistance from the established practice. This study has attempted to point out the weaknesses of the institutions of Hanoi and has identified factors affecting future development towards good governance. But it is not easy to determine how long it will take to change the institutional setting of Hanoi in order to achieve good governance.
This publications-based thesis summarizes my contribution to the scientific field of ultrafast structural dynamics. It consists of 16 publications, about the generation, detection and coupling of coherent gigahertz longitudinal acoustic phonons, also called hypersonic waves. To generate such high frequency phonons, femtosecond near infrared laser pulses were used to heat nanostructures composed of perovskite oxides on an ultrashort timescale. As a consequence the heated regions of such a nanostructure expand and a high frequency acoustic phonon pulse is generated. To detect such coherent acoustic sound pulses I use ultrafast variants of optical Brillouin and x-ray scattering. Here an incident optical or x-ray photon is scattered by the excited sound wave in the sample. The scattered light intensity measures the occupation of the phonon modes.
The central part of this work is the investigation of coherent high amplitude phonon wave packets which can behave nonlinearly, quite similar to shallow water waves which show a steepening of wave fronts or solitons well known as tsunamis. Due to the high amplitude of the acoustic wave packets in the solid, the acoustic properties can change significantly in the vicinity of the sound pulse. This may lead to a shape change of the pulse. I have observed by time-resolved Brillouin scattering, that a single cycle hypersound pulse shows a wavefront steepening. I excited hypersound pulses with strain amplitudes until 1% which I have calibrated by ultrafast x-ray diffraction (UXRD).
On the basis of this first experiment we developed the idea of the nonlinear mixing of narrowband phonon wave packets which we call "nonlinear phononics" in analogy with the nonlinear optics, which summarizes a kaleidoscope of surprising optical phenomena showing up at very high electric fields. Such phenomena are for instance Second Harmonic Generation, four-wave-mixing or solitons. But in case of excited coherent phonons the wave packets have usually very broad spectra which make it nearly impossible to look at elementary scattering processes between phonons with certain momentum and energy.
For that purpose I tested different techniques to excite narrowband phonon wave packets which mainly consist of phonons with a certain momentum and frequency. To this end epitaxially grown metal films on a dielectric substrate were excited with a train of laser pulses. These excitation pulses drive the metal film to oscillate with the frequency given by their inverse temporal displacement and send a hypersonic wave of this frequency into the substrate. The monochromaticity of these wave packets was proven by ultrafast optical Brillouin and x-ray scattering.
Using the excitation of such narrowband phonon wave packets I was able to observe the Second Harmonic Generation (SHG) of coherent phonons as a first example of nonlinear wave mixing of nanometric phonon wave packets.
The aim of this thesis was the elucidation of different ionization methods (resonance-enhanced multiphoton ionization – REMPI, electrospray ionization – ESI, atmospheric pressure chemical ionization – APCI) in ion mobility (IM) spectrometry. In order to gain a better understanding of the ionization processes, several spectroscopic, mass spectrometric and theoretical methods were also used. Another focus was the development of experimental techniques, including a high resolution spectrograph and various combinations of IM and mass spectrometry.
The novel high resolution 2D spectrograph facilitates spectroscopic resolutions in the range of commercial echelle spectrographs. The lowest full width at half maximum of a peak achieved was 25 pm. The 2D spectrograph is based on the wavelength separation of light by the combination of a prism and a grating in one dimension, and an etalon in the second dimension. This instrument was successfully employed for the acquisition of Raman and laser-induced breakdown spectra.
Different spectroscopic methods (light scattering and fluorescence spectroscopy) permitting a spatial as well as spectral resolution, were used to investigate the release of ions in the electrospray. The investigation is based on the 50 nm shift of the fluorescence band of rhodamine 6G ions of during the transfer from the electrospray droplets to the gas phase.
A newly developed ionization chamber operating at reduced pressure (0.5 mbar) was coupled to a time-of-flight mass spectrometer. After REMPI of H2S, an ionization chemistry analogous to H2O was observed with this instrument. Besides H2S+ and its fragments, H3S+ and protonated analyte ions could be observed as a result of proton-transfer reactions.
For the elucidation of the peaks in IM spectra, a combination of IM spectrometer and linear quadrupole ion trap mass spectrometer was developed. The instrument can be equipped with various ionization sources (ESI, REMPI, APCI) and was used for the characterization of the peptide bradykinin and the neuroleptic promazine.
The ionization of explosive compounds in an APCI source based on soft x-radiation was investigated in a newly developed ionization chamber attached to the ion trap mass spectrometer. The major primary and secondary reactions could be characterized and explosive compound ions could be identified and assigned to the peaks in IM spectra. The assignment is based on the comparison of experimentally determined and calculated IM. The methods of calculation currently available exhibit large deviations, especially in the case of anions. Therefore, on the basis of an assessment of available methods, a novel hybrid method was developed and characterized.