This booklet collects the results of my work as a doctoral student of the Ph.D. School in Physics, Astrophysics and Applied Physics at Universit`a degli Studi di Milano, that has been carried out since November 2020 at Istituto Officina dei Materiali of Consiglio Nazionale delle Ricerche (IOM-CNR) and within the framework of Nanoscale Foundries and Fine Analysis (NFFA) consortium.

My experimental activity addressed the coupling of magnetic and acoustic degrees of freedom in transition-metal ferromagnetic systems. Within the NFFA-SPRINT laboratory, hosted in the premises of the facility FERMI@Elettra (Elettra-Sincrotrone Trieste), I developed a setup to perform optical Transient-Grating spectroscopy, and correlative time-resolved optical spectroscopies (time-resolved reflectivity and polarimetry). Via sub-picosecond optical pulses, acoustic and magnetic transients are impulsively generated: their intertwined evolution and decay are monitored via time-resolved optical probing.

In a first experiment, a Ni thin film was investigated via Transient-Grating spectroscopy. Acoustically-driven magnetization precession was observed at the condition of crossing of phononic and magnonic dispersions, at finite wavevector. With the aid of correlative ferromagnetic resonance measurements the boundary of applicability of the proposed experimental approach was established.

In a second experiment, time-resolved magneto-optical polarimetry was employed to investigate magneto-acoustic waves excited in a ferromagnetic nanostructured array. The details of the magnon-phonon mode crossing allowed to identify experimental features which qualify the degree of coherence in the coupling; a Hamiltonian model was proposed to account for the observations.

Materials and heterostructures that exhibit coupling between elastic and magnetic degrees of freedom are of both fundamental and technological interest. In particular, they have great potential for novel energy-efficient spintronic devices because acoustic waves can generate coherent and long-living spin waves through inverse magnetostriction, which consists in variations in the magnetization due to lattice deformations. As optical methods are versatile, non-invasive and contactless, an all-optical approach has been implemented and applied to study magnetoelastic coupling in a ferromagnetic film on a glass substrate.
The present thesis work was performed at the NFFA-SPRINT facility of IOM-CNR in the Fermi@Elettra hall at Trieste, where I actively contributed to the realization and characterization of an all new experimental setup which is able to combine transient grating spectroscopy with a time-resolved Faraday polarimetry.

This thesis is focused the structural and spectroscopic characterization of multiferroic heterostructures composed of a thin film of iron, which is ferromagnetic, deposited on a bulk PMN-PT ([Pb(Mg1/3Nb2/3)O3]1−x–[PbTiO3]x) substrate, which is ferroelectric. The epitaxially grown interface between two mate-rials displays the magnetoelectric coupling. By applying an electric field across the thickness of the substrate (i.e. along the growth direction) it is possible to polarize and deform the ferroelectric crystal structure, thus manipulating the magnetic properties of the over-layer. In this work, we analyse how the two opposite polarized states of the PMN-PT affect the magnetic anisotropy of the iron overlayer and the role of morphology in this modifications. In particular the morphology represents an important factor in the magnetoelectric mechanisms that has been little investigated before.

This thesis contains a selection of the results on the shallow electron states of quantum materials that I obtained as doctoral student of the Scuola di Dottorato in Fisica, Astrofisica e Fisica Applicata at the Università degli Studi di Milano. I carried out my doctoral research activity mostly at the TASC-IOM CNR laboratory, in the framework of the NFFA and APE-beamline facilities (Elettra Sincrotrone Trieste), as well in dedicated sessions at the I2; beamline of the Diamond light source, Harwell Campus, UK. To access the electronic properties of materials I specialised myself in photoemission spectroscopy techniques. High quality samples are a prerequisite for any attempt to study quantum materials so that a major effort in my PhD project has been to master the growth of novel quantum materials by means of Pulsed Laser Deposition (PLD). Given that the PLD is integrated in the suite of UHV facilities attached in-situ to the APE beamline, I directly characterised the electronic properties of the PLD grown samples exploiting both the spectroscopic techniques available at the beamline (ARPES, X-ray photoemission and absorption spectroscopies: XPS and XAS), either ex-situ structural characterisation tools (X-ray diffraction –XRD– and X-ray reflectivity, XRR).

In this work, I am going to present the main results of the scientific activity in which I was involved during my summer internship at CNR-IOM in Trieste (Italy) during the period, May 16, 2019 to August 10, 2019.

This report focuses on the magneto-optic Kerr effect (MOKE) investigations done on two set of samples.
The first set of samples regards the optimization of the deposition parameters of CoFeB, in order to obtain a sample with low coercive field and isotropic behavior. The aim is to obtain a soft isotropic ferromagnetic layer, for further implementation into ferroelectric/ferromagnetic heterostructures.
The second set regards a run of experiments with the aim of setting an exchange bias coupling by partially oxidizing the ferromagnetic layer through the substrate deoxidation. Here Fe (10 nm) ferromagnetic layer is deposited on substrate Lithium Niobate (LNZ).

Titanium dioxide (TiO2) is mainly present in nature in three different polymorphs: rutile, brookite and anatase. In particular, the latter is largely studied due to its promising future applications in several devices like memristors and solar cells, as well as implementations in spintronics and transparent conductive oxides. In this framework, the most important physical quantity is certainly conductivity: it is thus fundamental to analyze and control the electronic properties of anatase with a particular attention to the surface, which plays a remarkable role in the previous applications.
Rutile TiO2 is thermodinamically favoured at the common ambient pressure and temperature, while anatase is favoured instead at the nanometric scale: for these reasons, thin films Pulsed Laser Deposition (PLD) enables a controlled and functionalized growth of anatase, thanks to the extreme versatility and accuracy of this technique.
This work was carried out at the NFFA (Nano Foundries and Fine Analysis) - APE (Advanced Photoelectric Effect) beamline, part of the CNR - IOM group, which exploits the synchrotron radiation emitted by the third generation storage ring Elettra. In particular, APE beamline is a state-of-the-art surface science laboratory, which includes a thin film pulsed laser deposition chamber connected through a multi-component ultra-high vacuum (UHV) system to two distinct endstations, where the electronic properties of the samples are analyzed with low energy (8 120 eV ) and high energy (150 1600 eV ) x-rays. It is thus possible to deposit thin films of the desired material and subsequently perform measurements with synchrotron light without exposing the sample to air, preventing an irreversible contamination of the surface.

One of the most fascinating challenges in modern solid state physics, both from a theoretical and an experimental point of view, is the comprehension of electron correlation and how it can aect the macroscopic properties of materials. Eects of electron correlation are extremely important in materials with open d and f electron shells, where electrons are conned in narrow orbitals and the interaction between the electrons internal degrees of freedom are enhanced. In fact these systems are known to display some of the most intriguing phenomena in condensed matter physics, such as:

• huge changes in the resistivity passing the metal-insulator transition in vanadium oxide or upon application of a magnetic eld in manganites;
• considerable volume changes across phase transitions in actinides and lanthanides;
• high superconductivity transition temperatures (above liquid nitrogen temperatures) in copper-oxygen planes based materials.

The possibility to exploit these properties to realise devices has driven many theoretical and experimental eorts directed to understand how to describe these phenomena and how to control them by manipulating external parameters such as temperature, doping, etc.