Utforskning av fraktionella Chern-isolatorer i moiré-supergitter: En datadriven metod

The concept of topology in condensed matter physics has attracted a lot of attention in the past few years because it provides a powerful framework for explaining complex phenomena in quantum systems.

Fractional Quantum Hall Effect emerges in topological systems under certain conditions when Landau levels are partially filled.

Fractional Chern insulators (FCIs) extend this concept to two-dimensional (2D) lattices, with intriguing properties stabilised by strong electron-electron interactions, and it is a promising platform for fault-tolerant quantum computation.

Twisting two layers of 2D materials at precise angles with specific electron filling factors can form FCIs where fractional electric charges with non-Abelian statistics can be observed.While the theoretical concept of FCIs is captivating, their experimental realisation is challenging.

Creating conditions that allow for the emergence of FCIs requires precise control of parameters such as magnetic fields, lattice potentials, and electron interactions.

Our project initially aims to search systematically for FCIs in twisted transition metal dichalcogenides moiré lattices by sifting out proper candidates from a database.

In the next step, we employ advanced numerical simulations and machine learning to tune parameters to stabelize FCI ground states and investigate their topological properties. The last part will be focused on magnetic properties and unraveling spin dynamics in these strongly correlated systems.