The present research proposal has two goals. First, to search for unique experimental fingerprints of the already known topological phases, and to search for suitable materials that would exhibit these properties. Second, to study whether periodic driving and dissipative processes can enable additional topological phases of matter. To reach these goals, I will apply modern theoretical techniques, including the electronic band theory, group theory, and algebraic topology.
Scientific and societal context:
Previously discovered topological materials (such as topological insulators, graphene, and Weyl semimetals), exhibit transport properties distinct from insulators, metals and semiconductors. This makes them potentially useful for future applications, for example in spintronics, nanoelectronic, and quantum computing. To fully exploit the potential of topological phases of matter, it is important to obtain their deeper physical understanding.