THE THEORY OF ELECTRONIC TOPOLOGICAL TRANSITIONS

In the present review an attempt to survey all the theory of electroni c topological transitions from the very first papers until the recent achievements is made. The presentation is started from the description of possible topological singularities in electronic sprectra of metal s. Then the singularities of thermodynamical and transport properties of a metal in the vicinity of ETT, their fluctuations are discussed in details. In purpose to attract the wide readers audience, the transpo rt phenomena including the behaviour of conductivity, thermoelectric p ower and sound absorption coefficient in the vicinity of ETT are discu ssed in the framework of simple Boltzmann equation approach. The last chapters of the review are devoted to the discussion of the modern pro blems of E?T theory, application of it to the study of properties of 2 D systems, quantum oscillations in magnetic field, generalized topolog ical transitions. The review is supplied by the extensive and complete bibliography including arround 300 references.