Attosecond physics is certainly among the hottest research fields in optics but progressively also in modern condensed matter physics and material research. Although still in its infancy, the attosecond concepts originally developed for atomic systems are gradually transferred to the condensed phase with high potential for both fundamental physical research as well as practical applications. The aim of this suggested thesis is theoretical study of interaction mechanisms of ultrastrong few-cycle light pulses with controlled carrier-envelope phase with novel types of materials such as 2-dimensional van der Waals materials (single layered, heterolayers, twisted layers etc.) or bulk topological materials. This plan will be strongly supported by experimental data coming out from the group of Dr. Kozák, who has recently established a new laboratory devoted exactly to this topic. The first experiments on 2D materials were done in his group already in the last year and their theoretical interpretation is now under way in collaboration with doc. Novotný and his current postdoc Dr. Slobodeniuk. For doc. Novotný this topic is a new, but strategic one and the whole team composed of Dr. Slobodeniuk, doc. Novotný, and part of Dr. Kozák’s experimental group is now applying for a joint grant at the Czech Science Foundation (the candidate Hameed Ullah is already included in the proposed research team). It’s realistic to expect that this research topic will become one of the dominant ones in doc. Novotný’s group for at least the next several years covering the span of Ph.D. study of Hameed Ullah, which will give him ideal working conditions. The exact research problems from the wide field of attosecond physics will be operatively chosen based on actual situation in this very dynamically evolving branch of condensed matter research.