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.

This thesis completes my work as doctoral student of the Scuola di Dottorato in Fisica, Astrofisica e Fisica Applicata at the Universit`a degli Studi di Milano, that has been carried out since November 2019 at the Istituto Officina dei Materiali of the Consiglio Nazionale delle Ricerche (IOM-CNR) in the premises of the Elettra - Sincrotrone Trieste and FERMI@Elettra infrastructures and in the framework of the NFFA facility.
My experimental activity employed complementary spectroscopy and polarimetry techniques oriented to address the characterisation of electronic and spin properties of systems with decreasing dimensionality. This programme has been conducted by exploiting state-of-the-art infrastructures to generate visible, UV and EUV ultrashort pulses (tabletop lasers and HHG at NFFA-SPRINT laboratory) and soft X-ray synchrotron light (at Elettra, Diamond and ESRF synchrotron light sources).
I used photoemission as the main tool in my investigation, supplementing my results with absorption spectroscopy. I focused on three materials, Fe(001)-p(1x1)O/MgO, EuSn2P2 and VI3, of high interest in modern and next-generation magnetic devices.
In the three systems I studied the electronic band structure to identify key features hinting at the bound electrons behaviour. I investigated the properties of the magnetically ordered phases and found evidence of the reduced dimensionality in the emergence of atypical spin ordering and the increasingly manifest electron correlation phenomena.
The information retained by band electrons is critical to access the spin polarisation of the bands and to give insight into the effects of spatial confinement on the spin degree of freedom.

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 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).

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.

Le proprietà ottiche, elettroniche e magnetiche dei solidi e delle loro superfici dipendono dalla struttura degli stati elettronici entro alcuni eV dal livello di Fermi. I calcoli della struttura elettronica a bande sono efficaci solo nel caso di materiali a bassa interazione elettrone-elettrone (correlazione). L'esperimento e la guida necessaria per lo studio delle proprietà elettroniche dei solidi e delle loro superfici, ed in particolare la spettroscopia di fotoemissione (photoemission spectroscopy - PES) che si basa sulla misura dello spettro energetico degli elettroni emessi da un solido eccitato da un fascio di fotoni monocromatici di energia eccedente la funzione lavoro. La risoluzione dell'angolo di emissione (Angle-resolved photemission spectroscopy - ARPES) permette di avere informazioni sulla legge di dispersione E_n(k) dello stato elettronico iniziale, mentre la misura del grado di polarizzazione in spin del fascio di elettroni completa il set di numeri quantici, fornendo un dato molto importante per lo studio delle correlazioni elettroniche.

The main goal of this dissertation is the study of the effects induced by quantum confinement in transition-metal oxides quantum wells (QWs). The field of possible applications of oxide-based heterostructures (oxide-based nanoelectronics, spintronics, quantum computation, excitonic devices, energy conversion in solar cells, etc.) is very ample and growing, thanks to the many fascinating and exotic properties of transition-metal oxides and their versatility as well. p-type SrMnO3/La0.7Sr0.3MnO3/SrMnO3QWs and n-type SrCuO2/Sr0.9La0.1CuO2/SrCuO2QWs have been studied. The first part of my work has been devoted to the investigation of quantum confinement achievement using a Mott insulator with a small band gap. The observed results suggest that this type of material can be successfully used in QWs.As a final result of my work, the achievement of dimensional effects induced by the layering on the normal state of both investigated systems (n and p-doped) has been assessed. In addition, the layering has been shown to influence the superconducting state of the investigated n-doped QWs and on the metal-to-insulator transition of the p-doped QWs. The investigation of the behavior of each layer constituent the QW (both nand p-doped) is relevant in view of future growth of proximate p-ndoped systems. Part of my work, therefore, has been devoted to the study of the properties of (Sr,La)CuO2thin films. The study of electrical transport properties of SLCO thin films as a function of the doping has allowed to relate the presence of the low temperature upturn in the (Sr,La)CuO2resistivity versus temperature curves the quantum interference effects produced by weak localization effects. Furthermore, the presence of low temperature Fermi liquid behaviors in SLCO thin films has also been observed.The last part of my work has dealt with the effects of the in-situannealing step on the final superconductivity properties of the (Sr,La)CuO2films, helping to optimize the growth step, crucial for the quality of this thin film and, consequently, of the n-doped QWs based on this compound. The effect of annealing, i.e. of the O content, has been studied, by using X-ray Absorption Spectroscopy (XAS) measurements performed at the Elettra Synchrotron in Trieste, Italy, and has allowed to reveal clear signature of apical Oxygen removal.