Lattice models for Josephson junctions and graphene superlattices

Ostroukh, V. (2018)

Doctoral Thesis

In this thesis we study quantum transport phenomena on the nanometer scale, in two classes of materials: topological
insulators with induced superconductivity and graphene superlattices. Both topics are motivated by recent experimental
developments: the first topic arose from the search for Majorana fermions in a quantum spin Hall insulator, the second
topic arose from the search for massive Dirac fermions in the Kekulé band structure of graphene on a copper
substrate. We focus on lattice models, solving them both numerically and analytically.

• Lattice models
• Graphene
• Josephson junctions
• Quantum transport

• All authors: Ostroukh, V.
• Supervisor: Beenakker, C.W.J.
• Co-supervisor: Akhmerov, A.R.
• Committee: Cheianov, V.V.; Eliel, E.R.; Kouwenhoven, L.P.; Saarloos, W. van; Wimmer, M.T.
• Qualification: Doctor (dr.)
• Awarding Institution: Institute of Physics (LION), Science, Leiden University
• Date: 2018-06-27
• Title of host publication: Casimir PhD Series
• ISBN (print): 9789085933465
• Name: 2018-14