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. 

Publications

• A perspective on superconductivity in curved 3D nanoarchitectures
  V. M. Fomin and O. V. Dobrovolskiy
  Appl. Phys. Lett. 120, 090501 (2022)
• New dimension in magnetism and superconductivity: 3D and curvilinear nanoarchitectures
  D. Makarov, O. M. Volkov, A. Kakay, O. P. Pylypovskyi, B. Budinska, and O. V. Dobrovolskiy
  Adv. Mater. 2101758, 2101758 (2022)
• Complex-shaped 3D nano-architectures for magnetism and superconductivity
  O. V. Dobrovolskiy, O. V. Pylypovskyi, L. Skoric, A. Fernández-Pacheco, A. Van Den Berg, S. Ladak, M. Huth, 
  in "Curvilinear Micromagnetism: from fundamentals to applications" (eds.) D. Makarov and D. Sheka
  Springer, 2022, chap. 5
  ISBN 978-3-031-09085-1
• Writing 3D nanomagnets using focused electron beams
  A. Fernandez-Pacheco, L. Skoric, J. M. De Teresa, J. P. Navarro, M. Huth, O. V. Dobrovolskiy
  Materials 13, 3774 (2020)