We begin our tutorial with the basics. Of course, a general introduction to ESR would be its own tutorial but nevertheless we have tried to give you enough information for a successful start. We then move on to the idea of describing the low-energy states of a spin through the language of the Spin Hamiltonian. We incorporate some of the required quantum coherence in this introduction to the theory as well.

On the practical side, we have to talk about the most challenging section: how to you get GHz frequency signals into an STM that is operating at low temperature and in a low-vibration environment. We will also cover the important topic of the transfer function: in ESR-STM we often want to apply a high-frequency voltage between tip and sample and we want to keep its amplitude constant when we change its frequency. This either requires perfect cables or a method to calibrate the frequency dependence and then compensate for it. Finally, we will show you how to make MgO thin films on Ag(100). For some strange reason, this is still the only substrate where ESR-STM has been demonstrated and therefore it is obviously something we highly recommend to start with.

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