PCS Institute for Basic Science Courses

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

Quantum Engineering for Compactly Localized States in Disordered Lieb Lattices

Explore quantum engineering in 3D Lieb lattices, examining disorder effects on compact localized states and unconventional phase combinations for potential quantum storage applications.

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

Non-reciprocal Quantum Matter: Quantum Geometry and Kramers Degeneracy

Explore non-reciprocal quantum matter, focusing on quantum geometry and Kramers degeneracy. Delve into field-free paradigms, linear and nonlinear phenomena, and extreme nonlinearities in layered materials.

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

Quasicrystalline Resonant States and Nonlinear Landau Fan Diagram in van der Waals Superlattices

Explore quasicrystalline resonant states and nonlinear Landau fan diagrams in van der Waals superlattices, examining unique electron behaviors in incommensurate configurations and moiré potentials.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Driven-Dissipative Dynamics of Trapped Ultracold Atom Systems Interacting with Background BECs

Explore ultracold atom dynamics in harmonic traps interacting with Bose-Einstein condensates. Learn about Raman laser coupling, Bogoliubov excitations, and steady-state preparation for quantum experiments.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

Quantum Scaling for the Metal-Insulator Transition in a Two-Dimensional Electron System

Explore quantum scaling for metal-insulator transitions in 2D electron systems, focusing on Gaussian approximation, critical exponents, and phase diagrams.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Josephson Tunneling Controlled by Spin-Orbit Interaction

Explore spin-orbit interaction's impact on Josephson tunneling, revealing quantum spin fluctuations and new possibilities for spin-active Josephson junctions.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Finding the Missed Topological Operators in Lattice Models

Explore the profound connection between higher category theory and lattice models, uncovering solutions to long-standing topological operator challenges in quantum field theory.

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

Phenomenology of Unexpected Thermal Hall Transports

Explore unexpected thermal transport behaviors in materials, focusing on large thermal Hall effects and unusual phonon interactions with defects in key compounds like SrTiO3 and La2CuO4.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video