Geometry- and topology-induced phenomena

The realm of topological matter can be subdivided in two categories: 

• Topologically protected surface/edge states are governed by Dirac physics and/or topologically nontrivial electronic structure in the momentum space – underlying, e.g., the Quantum Hall effect and properties of topological insulators, superconductors, and semimetals. 

• Non-trivial topology occurs due to a special geometry of the structures or fields in real space – e.g., in quantum rings, Möbius rings, multiterminal Josephson junctions, and skyrmions.

We explore systems from both categories and investigate 3D heterostructures made of 2D materials.