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Two-dimensional (2D) topological insulators are a new class of materials with properties that are
promising for potential future applications in quantum computers. For example, stanene represents
a possible candidate for a topological insulator made of Sn atoms arranged in a hexagonal
lattice. However, it has a relatively fragile low-energy spectrum and sensitive topology. Therefore,
to experimentally realize stanene in the topologically non-trivial phase, a suitable substrate
that accommodates stanene without compromising these topological properties must be found.
A heterostructure consisting of a SiC substrate with a buffer layer of adsorbed group-III elements
constitutes a possible solution for this problem. In this work, 2D adatom systems of Al and In
were grown epitaxially on SiC(0001) and then investigated structurally and spectroscopically by
scanning tunneling microscopy (STM) and photoelectron spectroscopy.
Al films in the high coverage regime \( (\Theta_{ML}\approx2\) ML\( ) \) exhibit unusually large, triangular- and
rectangular-shaped surface unit cells. Here, the low-energy electron diffraction (LEED)
pattern is brought into accordance with the surface topography derived from STM. Another Al
reconstruction, the quasi-one-dimensional (1D) Al phase, exhibits a striped surface corrugation,
which could be the result of the strain imprinted by the overlayer-substrate lattice mismatch.
It is suggested that Al atoms in different surface areas can occupy hexagonal close-packed and
face-centered cubic lattice sites, respectively, which in turn lead to close-packed transition regions
forming the stripe-like corrugations. On the basis of the well-known herringbone reconstruction
from Au(111), a first structural model is proposed, which fits well to the structural data from
STM. Ultimately, however, thermal treatments of the sample could not generate lower coverage
phases, i.e. in particular, a buffer layer structure.
Strong metallic signatures are found for In high coverage films \( (\Theta_{ML}\approx3\) to \(2\) ML\() \) by
scanning tunneling spectroscopy (STS) and angle-resolved photoelectron spectroscopy (ARPES),
which form a \( (7\times7) \), \( (6\times4\sqrt{3}) \), and \( (4\sqrt{3}\times4\sqrt{3}) \) surface reconstruction. In all these In phases
electrons follow the nearly-free electron model. Similar to the Al films, thermal treatments could
not obtain the buffer layer system.
Surprisingly, in the course of this investigation a triangular In lattice featuring a \( (1\times1) \)
periodicity is observed to host massive Dirac-like bands at \( K/K^{\prime} \) in ARPES. Based on this
strong electronic similarity with graphene at the Brillouin zone boundary, this new structure is
referred to as \textit{indenene}. An extensive theoretical analysis uncovers the emergence of an electronic
honeycomb network based on triangularly arranged In \textit{p} orbitals. Due to strong atomic spin-orbit
coupling and a comparably small substrate-induced in-plane inversion symmetry breaking this
material system is rendered topologically non-trivial. In indenene, the topology is intimately
linked to a bulk observable, i.e., the energy-dependent charge accumulation sequence within the
surface unit cell, which is experimentally exploited in STS to confirm the non-trivial topological
character. The band gap at \( K/K^{\prime} \), a signature of massive Dirac fermions, is estimated by
ARPES to approximately 125 meV. Further investigations by X-ray standing wave, STM, and
LEED confirm the structural properties of indenene. Thus, this thesis presents the growth and
characterization of the novel quantum spin Hall insulator material indenene.
Within this study, the influence of the energetics of the bridge unit on electron transfer (ET) in an electrode-bridge-donor system was investigated in a monolayer environment.
This was realized by specifically designing molecules containing ferrocene carboxylic ester donors and hydroquinone derivatives as bridge units and by using a gold electrode as acceptor. The energetics of the hydroquinone derivatives was adjusted by synthetically varying its substituents with the intention of changing the ET speed and mechanisms. Thereby the choice of the substituents was based on the literature known half-wave potentials of similar solvated hydroquinone derivatives and successively confirming them by conducting cyclic voltammetry on the actual bridge units synthesized. Then, a synthetic pathway, which accommodated the limited stability of the integrated terminal ferrocene carbon acid ester, was developed and successfully employed. This was followed by developing a procedure for preparing very dense and highly ordered monolayers from the target molecules on self-made gold microelectrodes. For the electrochemical investigations, several electrolyte solutions were tested until one, which ensured low susceptibility of the characterization setup towards slight changes of the electrode arrangement and measurement parameters while ensuring sufficient stability of the monolayers, was found. Furthermore, a new, commercially available potentiostat was established for the impedance measurements, which reduced the stress on the monolayers during the electrochemical characterizations in comparison to the equipment used in many former studies. Regarding the determination of the ET rates, the data analysis protocol for the impedance measurements developed by Creager et al. was slightly adapted to allow analysis of the investigated monolayers despite their non-ideal behavior. In addition, the influence of changes to the electrical parameters of the impedance scans was investigated to minimize the error in the acquired data.
The electrochemical analysis of the monolayers by conducting cyclic voltammetry on MA, MB and MC prepared from A, B and C confirmed the accomplishment of near ideal surface coverage and exceptionally high order. The surface coverages of MB and MC were, probably due to the space filled by the substituents on their bridge units, slightly lower than those of MA. Furthermore, the shape of the redox waves of the ferrocene carboxylic acid redox center in the voltammogram of MA showed a broadening and a shift towards higher potentials, which was assigned to electrostatic interference of oxidized terminal redox centers due to the especially dense packing. However, in the voltammogram of MB, no sharp redox waves of the bridge units, as predicted by the analysis of preliminary monolayers of the same type with low surface coverage, were present. This was attributed to the different and varying microenvironment of the bridge units deeply embedded within high-density monolayers. In detail, the different degree of shielding of each individual bridge unit from counter ions and solvent molecules probably resulted in the half wave potential being shifted to varying higher potentials, thus preventing the formation of sharp redox waves. In addition, electrostatic effects of oxidized bridge units could have enhanced this effect. This leads to the conclusion that the half-wave potentials of fully solvated bridge units determined by the cyclic voltammetry are not suited to predict the energetics of the oxidized bridge states embedded within the prepared high density monolayers.
Finally, the monolayers were successfully analyzed by impedance spectroscopy, which showed that the ET rate of MA is slightly higher than that of MB, and both are higher than that of MC. All of the values were, according to literature, in the expected region considering the length and degree of conjugation of the backbone. However, this picture is relativized when considering the targeted energetic alignment of the bridge units. According to the predicted very small energy gap between the oxidized states of the donor and the bridge unit in MB, a domination of the hopping mechanism should have led to a several orders of magnitude higher ET rate than in MA and MC. That this was not the case was attributed to the underestimation of the energy of the oxidized bridge states by utilizing cyclic voltammetry of the fully solvated bridge units (see above). According to the small differences of the ET rates the superexchange process was assumed to be the dominating mechanism not only in MA and MC but also in MB. However, even when shifted, the predicted energetic order of the oxidized bridge states should have led to a moderately decreasing ET rate from MB over MA to MC. The reason for the actual ET rate in MA being slightly higher than in MB might be found in the electrostatic interference of the terminal redox centers in MA (see above).
In conclusion, the targeted model systems were prepared and the ET rates were successfully determined. However, the problems concerning the relative energetic positioning of the involved states within the dense monolayers prevented the specific alteration of the speed and mechanism of the ET. The reason for this can be probably found in the high density and order of the monolayers prepared within this work, which hamper the intrusion of the components of the electrolyte solutions. This various degree of stabilization for the individual bridge units by counter ions and solvent molecules leads to the energy of the oxidized bridge states being splitted and shifted towards higher potentials with respect to fully solvated bridge units. This effect might be further enhanced by electrostatics of neighboring already oxidized bridge states. All this makes the predetermination of the energetics of the embedded bridge units extremely difficult. On one hand, this behavior can be considered an obstacle and could probably be circumvented by designing molecules with bulky anchor groups and rigid molecular backbones, which would ensure perpendicular arrangement to the surface and full exposure of the bridge and terminal redox centers to the solvent molecules and counter ions. On the other hand, monolayers which completely embed integral redox centers might open up the opportunity to study the effects of microenvironments similar to those in solid state materials.
Regarding mixed valence compounds, the present study focuses on bistriarylamine radical cation F∙+, which contains the [3.3]paracyclophane bridge unit. The results were compared to the, except for the bridge units, identical literature known compounds G∙+ and N∙+ with [2.2]paracyclophane and p-xylene bridges respectively. This led to the conclusion that slightly different bridge units can induce substantial changes to the internal reorganization energy. This is especially noteworthy since it is usually believed that structural adaption limited to the redox centers taking part in the charge transfer dominates the internal reorganization energy. Furthermore, the application of the two-state Mulliken-Hush approach shows that compounds F∙+ and G∙+ have near identical couplings and similar thermal barriers. Confirmation of the latter finding as well as near identical thermal electron transfer rates for both compounds were provided via a cooperation project by Grampp et al. in which these values were directly extracted from temperature dependent electron paramagnetic resonance measurements. These results are quite unexpected since the “through-space” distances of the stacked pi-systems in the paracyclophane bridges differ significantly. They are well within the sum of the van der Waals radii in G∙+ and barely within them in compound F∙+. In addition, these findings weaken the common assumption of the ethylene bridges in G∙+ substantially adding to the electronic coupling, since then, in F∙+, due to its propylene linkers, the coupling should be substantially reduced. Finally, relying on the fact that the electronic couplings are only three times higher and the thermal electron transfer rates are only one order of magnitude higher for N∙+ than for compounds F∙+ and G∙+ shows that intermolecular electron transfer in solid state materials can remain efficient, if the interacting pi-systems stay within the sum of van der Waals radii of their carbons.
Concerning the donor-acceptor dyads, the current investigation centers on triarylamine-cyclophane-naphtalene diimide (TAA-CP-NDI) compounds which display almost complete photoinduced charge separation. Furthermore, their singlet charge separated states show lifetimes of hundreds of nanoseconds, which is rarely found in such simple dyads. In the present case they can be attributed to the particular amount of electronic coupling V (on the order of 100 cm^–1), which is brought about by incorporation of the smallest model systems for pi-stacks, the CPs, together with the nodes on the NDI lowest unoccupied molecular orbital, which electronically decouples the central NDI from its nitrogen substituents. In agreement with studies of [2.2]- and [3.3]paracyclophane bridged mixed valence compounds (see above), the cycolphane bridged dyads show very similar electronic coupling when dealing with ground state processes like charge recombination. However, when investigating excited state processes, like charge separation in the TAA-CP-NDI dyads, one has to bear in mind that the CP orbitals are involved in the formation of intermediate states that likely possess charge transfer character. In this case, the [2.2]paracyclophane bridge obviously induces a stronger coupling than the [3.3]paracyclophane. Another interesting property of the dyads studied here is the substantial population of the triplet charge separated (CS) state of ca. one third regarding both CS states, which is brought about by singlet-triplet interconversion from the singlet CS state. Thus, the triplet CS state with a lifetime of several microseconds acts as a kind of buffer for the CS state before recombining to the ground state and, thus, leads to distinctly prolonged overall lifetimes of the charge separated states. Thus it can be concluded that the intersystem crossing and charge recombination (CR) processes of the CS states are governed by a delicate balance of a large electronic coupling V and a large exchange interaction 2J (both with regard to systems containing a through-space pathway). The latter appears to be induced by second order interaction with a local triplet state lying close in energy to the CS state. This balance results in slow CR- and singlet-triplet- interconversion rates, which differ only by one order of magnitude. Compared to the many NDI containing dyads studied so far, these features of the dyads studied here are, to the best of our knowledge, unique. Especially the combination of high quantum yield of charge separation, long lifetimes and high energy of the charge separated state make the investigated systems interesting for practical applications. Furthermore, the presented unraveling of the underlying mechanisms is of substantial value for the future design of dyads for practical applications regarding the implementation and adjustment of these favorable properties.
In this work the influence of “active” bridge units on the electron transfer (ET) mechanism within organic donor-bridge-electrode arrays in self-assembled monolayers (SAMs) was studied by spectroscopic and electrochemical methods. In the first part of this work ferrocenealkanethiols 1 – 3 and the ferrocenearylthiols 4, 5 were investigated to get experience in the monolayer preparation for measuring ET rates. Cyclic voltammetry of the monolayers indicates that homogeneously mixed monolayers containing redox active molecules and dummy molecules were formed. For the known ferrocenealkanethiols 1 – 3 the ET rates could be confirmed compared to the ones measured by Creager et al. [206]. As expected the ET rate decreases by increasing chain length of the alkane spacer from 2 to 3. Changing the bonding between the redox centre and the alkane spacer with the same bridge lenght, e. g. by using a carboxy-group in case of 1, does not influence the ET behaviour very strong. The aromatic ferrocenethiols 4 and 5 show very high ET rates due to the strong conjugated system although the distance between the redox centre and the electrode is comparable to the C8-alkyl compound 2. The electronic coupling factors all indicate a nonadiabatic ET between the redox centre and the electrode. As expected the electronic coupling factors increase with decreasing spacer length or with an enlarged conjugated system. To sum up, experience in monolayer preparation could be obtained, the measured ET rates for well known ferrocenealkane-compounds 1 - 3 could be verified and the information could be transferred to the conjugated systems 4 and 5. In the second part the triarylamine- 29, 32 and the phenothiazinealkanethiol 35 have been examined relative to their ET behaviour in mixed monolayers. The cyclic voltammograms of the diluted monolayers indicate that homogeneously formed monolayers are present. The ET rates of triarylamine- 29, 32 and phenothiazinealkanethiols 35 are 10 to 100 times higher than compared to ferrocenealkanethiols with equal chain length[183, 206], whereas in a [Ru(bpy)2(pp)]+-containing monolayer the same value was observed [177]. Almost two parameters influence the ET rate constant: the electronic coupling matrix element and the reorganisation energy  [209]. The ET rate in donor substituted alkanethiols is mainly influenced by the reorganisation energy  [177] and even small changes have a dramatic effect on the observed processes, therefore an increasing ET rate from the ferrocene (high reorganisation energy) over the phenothiazine 35 and the [Ru(bpy)2(pp)]+ to the triarylamine chromophores 29 and 32 (low reorganisation energy) is observed. Furthermore the bonding between the redox centres and the alkane spacer plays an important role on the ET rate in case of the triarylamines 29 and 32 opposite to the assumption made by Creager et al. that the connection does not play any role. For the electron rich ether connected compound 29 the ET is not only dominated by the reorganisation energy but also by mesomeric effects where the positive charge of the electron rich derivative 29 is more located at the ether function so that the chain is formally shortend by one atom resulting in higher ET rates than compared to 32. In the third part of the thesis a series of “molecular wires” consisting of methoxy- or chloro-substituted triarylamines and phenothiazines with different bridge units and bridge length between the redox centre and the anchor thiol function have been prepared in order to investigate their ET-behaviour. Cyclic voltammetry and UV/vis-spectroscopy show that the oxidation potential and the energetic states could be controlled very well by introducing different redox centres and bridge units resulting in a decreasing oxidation potential of the redox centres and a bathochromic shift of the absorption bands in the UV/vis-spectra. Also the densitiy of the chromophores in mixed monolayers could be controlled very well for only three compounds (49, 52 and 87) with nitrile-substituted bridges reliable ET rates could be obtained. In these chromophores the ET rate decreases by increasing the density of the redox active molecules in the mixed monolayers indicating that the adsorption geometry changes with coverage with the chromophores tilting to a more upright orientation as the surface becomes more crowded. For all other compounds the measurements were limited by the fast ET rates. Conformational, as well as a very weak distance dependence of the ET resulting in very high ET rates [172] or unfavourable HOMO-LUMO energies of the donor, bridge and the electrode are reasons for this behaviour. The fact that compound 49 shows almost the same rate constant independent of the length (n = 2 or n = 3) may indicate that a hopping process is operating for which a much weaker length dependence is expected than in the case of a superexchange.
This publication is dedicated to investigate strong light-matter coupling with excitons in 2D materials. This work starts with an introduction to the fundamentals of excitons in 2D materials, microcavities and strong coupling in chapter 2. The experimental methods used in this work are explained in detail in chapter 3. Chapter 4 covers basic investigations that help to select appropriate materials and cavities for the following experiments. In chapter 5, results on the formation of exciton-polaritons in various materials and cavity designs are presented. Chapter 6 covers studies on the spin-valley properties of exciton-polaritons including effects such as valley polarization, valley coherence and valley-dependent polariton propagation. Finally, the formation of hybrid-polaritons and their condensation are presented in chapter 7.