Make more fluid: In condensed matter systems, electrons can acquire unusual properties from their interaction with the atomic lattice. In some examples, they can behave as massless particles,... Show moreMake more fluid: In condensed matter systems, electrons can acquire unusual properties from their interaction with the atomic lattice. In some examples, they can behave as massless particles, mimicking the relativistic behavior of photons. This thesis is dedicated to the study of such massless electronic excitations, focusing on systems exhibiting Majorana, Weyl, and Dirac fermions. In this thesis, we show how new states can arise in the presence of a magnetic field, find new signatures of such states, and present new methods that can be used to study them. Show less