Using a non-Abelian density matrix renormalization group method we determine the phase diagram of the Kondo lattice model in one dimension, by directly measuring the magnetization of the ground state. This allowed us to discover a second ferromagnetic phase missed in previous approaches. The phase transitions are found to be continuous. The spin-spin correlation function is studied in detail, and we determine in which regions the large and small Fermi surfaces dominate. The importance of double-exchange ordering and its competition with Kondo singlet formation is emphasized in understanding the complexity of the model.

We report the discovery of a new ferromagnetic phase in the one-dimensional Kondo lattice model for intermediate values of the coupling constant. This new ferromagnetic phase was observed using a non-Abelian density-matrix renormalization group algorithm, which allowed us to measure directly the magnetization of the ground state with high accuracy.

The impact of cybersecurity (CS) on public well-being is increasing due to the continued digitisation process of all industry sectors. The protection of information systems rests upon a sufficient number of CS specialists and their competences. A cyber-competence map describing the capacity and trends of the CS workforce is an essential element of the workforce development strategy. Large enterprises tend to have narrowly specialised employees with clearly identifiable roles. Still, most enterprises in small countries are SMEs. Therefore, the tasks and responsibilities of many CS-related specialists overlap the functions of several roles. This paper aims to develop a small-state cybersecurity competence map consistent with the standards of professional organisations. The work applies a combined qualitative and quantitative methodological approach to collect data using questionnaires and expert interviews in the CS field organisations. The study includes a representative public survey, a large-scale survey of company executives, an exploratory CS expert survey, and a comprehensive job posting analysis. Finally, a national CS competence map is presented and verified using two qualitative semi-structured interviews with field professionals. Even though the map reflects a status of a small nation state, it is activity-based and might be applicable in any country. As a future research direction, we will investigate the impact of early and late exposure to cybersecurity competences in education and framework applicability.

Active usage of threat intelligence information supports effective prevention, mitigation and defence against cyberattacks by threat actors ranging from individual amateurs to state organizations. However, threat intelligence highly depends on security specialists’ ability to share incident data on threat information-sharing platforms. Unfortunately, business managers and educational institutions undervalue the information-sharing aspect when planning the professional development of cybersecurity-related specialists. Consequently, cybersecurity specialists are insufficiently motivated to correctly communicate and propagate relevant information with team members, superiors, relevant institutions and the global community about the impact of the incident. Literature review reveals many technological, legal and psychological obstacles hindering successful information exchange. This research aims to improve threat information sharing by focusing on the educational aspect of the problem and analysing the attitude of cybersecurity specialists during cyber defence exercises (CDX). Our case study disclosed nine factors obstructing both proper reporting to relevant authorities and adequate communication among teams. By addressing these factors, CDX organizers could substantially improve the development of highly beneficial soft skills of the technical specialists.

The spin-$1/2$ quantum Ising chain in a transverse random magnetic field is studied by means of the density-matrix renormalization group. The system evolves from an ordered to a paramagnetic state as the amplitude of the random field is increased. The dependence of the magnetization on a uniform magnetic field in the $z$ direction and the spontaneous magnetization as a function of the amplitude of the transverse random magnetic field are determined. The behavior of the spin-spin correlation function both above and at criticality is studied. The scaling laws for magnetization and correlation functions are tested against previous numerical and renormalization-group results.