Contribution to the theory of quantum transport : graphene-based topological insulator and finite-frequency phenomena

Orateur : Soutenance de thèse d'Oleksii SHEVTSOV (INAC/SPSMS)

The work which will be presented at the defence is on the theory of quantum electron transport i n multiterminal nanoscale systems. The work consists of two parts : first - on the electron transport in the presence of finite-frequency oscillating perturbations, and second - on the transport properties of functionalised graphene. In the former, making use of the Keldysh Green’s function formalism, we develop a general theoretical framework for dealing with the problems of electron transport. In the latter, we elaborate a proposal of inducing a topological order in graphene by depositing certain type of heavy atoms on its surface. Further, we investigate the behavior of the induced topological phase (quantum spin Hall phase) in presence of a magnetic field. We show that one can observe a topological phase transition between quantum Hall and quantum spin Hall phases by simply tuning the position of the Fermi level.

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