Teaching
Lecture courses at Aalto University and lectures at summer schools, on quantum materials and the methods to study them. The material is open wherever it exists: interactive Jupyter notebooks, recorded sessions and slides.
Advanced Quantum Materials, Aalto University (2025)
- Second quantization, mean-field and spontaneous symmetry breaking
- Symmetries, reciprocal space, Bloch’s theorem
- Band structure theory, tight binding and effective models
- Topological band structure theory
- Electrons in a magnetic field, quantum Hall effect and Landau levels
- Superconductivity, Nambu representation and Majorana physics
- Magnetism, magnons, quantum magnetism and spinons
- Excitations and defects in quantum materials
- Tensor network and neural network many-body wavefunctions
- Machine learning for quantum materials
Advanced Computational Methods in Physics: quantum many-body and tensor networks, Aalto University (2024)
- Many-body interactions and classical symmetry broken magnetism
- Many-body quantum magnets
- Many-body correlated fermionic systems
- Tensor networks for many-body quantum magnets
- Tensor networks for many-body correlated fermions
Solid State Physics, Aalto University (2020 to 2024)
Course page · Jupyter notebooks (2024)
Lectured every year from 2020 to 2024. The 2024 edition was recorded:
Recorded sessions (2024)
- Second quantization, mean-field and spontaneous symmetry breaking
- Symmetries, reciprocal space and Bloch’s theorem
- Band structure theory
- Topological band structure theory
- The quantum Hall effect
- Superconductivity and Majorana physics
- Classical and quantum magnetism
- Excitations and defects in quantum materials
- Tensor network and neural network quantum states
- Machine learning quantum materials
Emergent quantum matter in artificial 2D materials, 31st Jyväskylä Summer School (2022)
Exercise notebooks · All recordings
- Introduction to 2D materials (slides)
- Superconductivity in 2D materials (slides)
- Magnetic 2D materials (slides)
- Moire electronic states and twisted van der Waals heterostructures (slides)
- Topological states in 2D materials (slides)
Emergent phenomena in van der Waals heterostructures, TIFR (2023)
School page · Slides and notebooks
Each lecture comes with its slides and an interactive exercise notebook.
- An introduction to 2D materials (notebook)
- Superconductivity and magnetism in 2D materials (notebook)
- Moire electronic states and twisted van der Waals heterostructures (notebook)
Advanced Physics of van der Waals heterostructures, Roscoff (2023)
World of Quantum Materials
A role-playing game that tests your knowledge of quantum materials. You are a quantum material, battling others with quasiparticles: you get the upper hand by using quasiparticles the others cannot host, and by answering physics questions. The plot: “The Decoherence” is spreading through the worlds of quantum materials, making them lose their coherence, and you walk through each phase of matter to stabilize it again. Based on the Advanced Quantum Materials course at Aalto.
Play in the browser · Source code
MSc courses
Advanced Quantum Materials, Aalto University (2025)
- Second quantization, mean-field and spontaneous symmetry breaking
- Symmetries, reciprocal space, Bloch’s theorem
- Band structure theory, tight binding and effective models
- Topological band structure theory
- Electrons in a magnetic field, quantum Hall effect and Landau levels
- Superconductivity, Nambu representation and Majorana physics
- Magnetism, magnons, quantum magnetism and spinons
- Excitations and defects in quantum materials
- Tensor network and neural network many-body wavefunctions
- Machine learning for quantum materials
Advanced Computational Methods in Physics: quantum many-body and tensor networks, Aalto University (2024)
- Many-body interactions and classical symmetry broken magnetism
- Many-body quantum magnets
- Many-body correlated fermionic systems
- Tensor networks for many-body quantum magnets
- Tensor networks for many-body correlated fermions
Solid State Physics, Aalto University (2020 to 2024)
Course page · Jupyter notebooks (2024)
Lectured every year from 2020 to 2024. The 2024 edition was recorded:
Recorded sessions (2024)
- Second quantization, mean-field and spontaneous symmetry breaking
- Symmetries, reciprocal space and Bloch’s theorem
- Band structure theory
- Topological band structure theory
- The quantum Hall effect
- Superconductivity and Majorana physics
- Classical and quantum magnetism
- Excitations and defects in quantum materials
- Tensor network and neural network quantum states
- Machine learning quantum materials
Summer schools
Emergent quantum matter in artificial 2D materials, 31st Jyväskylä Summer School (2022)
Exercise notebooks · All recordings
- Introduction to 2D materials (slides)
- Superconductivity in 2D materials (slides)
- Magnetic 2D materials (slides)
- Moire electronic states and twisted van der Waals heterostructures (slides)
- Topological states in 2D materials (slides)
Emergent phenomena in van der Waals heterostructures, TIFR (2023)
School page · Slides and notebooks
Each lecture comes with its slides and an interactive exercise notebook.
- An introduction to 2D materials (notebook)
- Superconductivity and magnetism in 2D materials (notebook)
- Moire electronic states and twisted van der Waals heterostructures (notebook)
Advanced Physics of van der Waals heterostructures, Roscoff (2023)
Outreach
World of Quantum Materials
A role-playing game that tests your knowledge of quantum materials. You are a quantum material, battling others with quasiparticles: you get the upper hand by using quasiparticles the others cannot host, and by answering physics questions. The plot: “The Decoherence” is spreading through the worlds of quantum materials, making them lose their coherence, and you walk through each phase of matter to stabilize it again. Based on the Advanced Quantum Materials course at Aalto.
Play in the browser · Source code