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Diploma - Max Planck Institute for Solid State Research

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4.3 Perspective: quasi-linear dispersion in a 4f compound 53<br />

Figure 4.21: dispersion of the linear surface state S1 around Γ measured<br />

<strong>for</strong> several cuts parallel to Γ−X towards the X-point. The different<br />

cuts are sketched in (c). In (a) are the results <strong>for</strong> Si terminated surface<br />

and in (b) <strong>for</strong> Eu terminated surface depicted. (SLS-SIS)<br />

There<strong>for</strong>e using atomic excitation spectra is only a zeroth-order approach. In principle, a<br />

model <strong>for</strong> atomic 4f emission with additional, non-spherical potential could address both<br />

shortcomings. Furthermore, the additional spectral weight at Γ cannot be explained (4).<br />

Nevertheless, the splitting of the surface 4f emission evident in fig. 4.9 can be explained<br />

in the framework of hybridization, because the surface state S2 seems to displace the<br />

spectral weight to higher and lower binding energies with a simultaneously emerging<br />

hybridization gap (5).<br />

As presented, the PE spectra show mainly surface states in hybridization with the<br />

4f multiplet of europium. Since the momentum perpendicular to the surface is not<br />

conserved, shaded bands (part of the projected band structure) emerge additionally. To<br />

disentangle the bulk band structure successfully, a less surface sensitive method has to<br />

be chosen. On the other hand, PE is a good choice to describe surface and edge states.<br />

This is especially important in a new class of solids, the surface states of which have<br />

macroscopically-different properties – e.g. the bulk is an insulator whereat the surface<br />

is a metal. A short outline will be given in the next chapter.<br />

4.3 Perspective: quasi-linear dispersion in a 4f compound<br />

Dimensionality and thereby confined electronic states are of recent interest in current<br />

research [75–78]. Especially after certain topological insulators have been predicted [76]<br />

and experimentally explored [77], the surface of which is stable metallic, a new field of<br />

research has emerged <strong>for</strong> spintronic and magnetoelectric devices. The topological classification<br />

scheme [76, 79] allows to determine whether the surface states are expected to<br />

be stable under small pertubation (e.g. disorder). It is expected, that due to supressed<br />

back-scattering in the case of strong topological insulators [75], dissipationless transport

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