PCS Institute for Basic Science Courses

Effects of Correlations in Disorder on Localization and Ergodicity Breaking in Long-Range Systems

Explore how disorder correlations impact localization and ergodicity breaking in long-range systems with Ivan Khaymovich's detailed analysis.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Classical and Quantum Nonequilibrium Dynamics of Nonlinear Nanomechanical Systems

Delve into nonequilibrium dynamics of nanomechanical systems, exploring both classical and quantum perspectives while examining nonlinear behaviors in microscopic mechanical structures.

• YouTube
• 1 hour 25 minutes
• Self-Paced
• Free Video

The Ising Dual-Reflection Interface - Z4 Symmetry, Majorana Strong Zero Modes and SPT Physics

Dive into advanced quantum physics concepts exploring Z4 symmetry, Majorana strong zero modes, and SPT phases through the lens of the Ising dual-reflection interface.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Generalized Loop Braiding Statistics in 3+1D Topological Phases - The Case of Twisted Lattice Gauge

Explore generalized loop braiding statistics in 3+1D topological phases, focusing on twisted lattice gauge theory. Gain insights into advanced concepts in quantum field theory and condensed matter physics.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

Exact Projected Entangled Pair Ground States with Topological Euler Invariant

Explore exact projected entangled pair ground states and their connection to topological Euler invariants in quantum systems, advancing understanding of quantum many-body physics.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Emergence of Flat Bands and Ferromagnetic Fluctuations via Orbital-Selective Electron Correlations

Explore orbital-selective electron correlations and their role in flat band emergence and ferromagnetic fluctuations in condensed matter physics.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Engineering Band Structure and Non-Hermitian States of Light in Photonic Crystal

Explore advanced concepts in photonic resonance engineering, from Dirac dispersion to flatbands and non-Hermitian states, with experimental demonstrations across various platforms and photonic species.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Free Video

Experimental Works on Localized Vibrations in Nonlinear Lattices

Explore experimental observations of intrinsic localized modes in magneto-mechanical resonator arrays, including recent advancements in two-degree-of-freedom systems.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

Quantum Geometry in Topological Bands - Chern Insulators from Landau Level Description and Beyond

Explore quantum geometry in topological bands, comparing Landau levels and Chern bands. Examine ideal flatband formalism, Anderson localization, and electron-electron interactions in 2D quantum materials.

• YouTube
• 37 minutes
• Self-Paced
• Free Video

Exploring Moiré 2D Materials and Topological Quasicrystals

Delve into moiré 2D materials and topological quasicrystals, exploring theoretical perspectives on emergent behaviors, long-range continuum models, and fascinating phenomena in trilayer systems.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

Generation, Modulation, and Enhancement of Superconductivity by Quantum Geometry

Explore quantum geometry's role in superconductivity, from high-temperature systems to finite-momentum pairing states and spin-triplet superconductivity triggered by ferromagnetic fluctuations.

• YouTube
• 33 minutes
• Self-Paced
• Free Video

Quasi-localization and Wannier Obstruction in Partially Flat Bands

Explore quasi-localization and Wannier obstruction in partially flat bands, focusing on non-normalizable compact localized states and their implications for topological semimetals.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

Layer Pseudospin Magnetism and Electric Field Induced Anomalous Hall Effects in Rhombohedral Multilayer Graphene

Explore layer pseudospin magnetism and electric field-induced anomalous Hall effects in rhombohedral multilayer graphene, focusing on recent experimental findings and theoretical analyses.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Flatbands: Construction and Effects of Perturbations

Explore flatbands in tight-binding systems, their construction, and effects of disorder and interactions. Discover unconventional phases, metal-insulator transitions, and ergodicity breaking phenomena.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Magic Angle of Moire Magnetic Materials

Explore the emergence of flatbands in twisted bilayer magnetic materials and their impact on magnon behavior, contrasting with electronic flatbands in graphene.

• YouTube
• 31 minutes
• Self-Paced
• Free Video