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Bartłomiej Leks

Master's student at ETH Zurich studying Quantum and Condensed Matter Physics.
I work at the intersection of theory and computation, using analytic methods and numerical simulations.
Currently exploring topological matter, fractons, tensor networks, and symmetry-aware ML.

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Research

2025

Fracton Physics in Twisted Bilayer Graphene

Dr. Dan Mao, Prof. Titus Neupert
University of Zurich

Working on understanding lineon excitations in magic-angle twisted bilayer graphene at one-third filling. Using tensor networks (DMRG) to study the low-energy physics, correlations and phase transitions, combined with analytical methods like Bethe Ansatz and bosonization.

The goal is to connect simplified 1D models to the more complex 2D physics of fractionalized states in moiré heterostructures. Presented this work at ETH's Theory Talks seminar.

Tensor Networks · Moiré Systems · Topological Phases · Julia

2024–25

Symmetry Informed Machine Learning for Molecular Dynamics

Dr Shashank Saxena, Prof. Dennis Kochmann
ETH Zurich

Developed molecular dynamics software using equivariant graph neural networks to optimize force field predictions.

The project focused on developing efficient ML models that respect physical E(3) symmetries, and optimizing them for HPC environments and for incorporation into molecular dynamics simulations.

Graph Neural Networks · Python/C++ · HPC

2024

Ab-initio Study of Band Structure in Transition Metal Dichalcogenides

Prof. Witold Bardyszewski
University of Warsaw

Developed own DFT and tight-binding code and used it, along with Quantum ESPRESSO, to study electronic band structures of transition metal dichalcogenides (TMDs).

Focused on understanding the effects of different atoms on bandgap and band topology, comparing results to benchmark computational methods and to select materials for photophysical applications.

DFT+U · Tight Binding · Python · Quantum ESPRESSO

Highlights

Side Projects