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Guided learning journeys that build knowledge step by step.
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7819 Paths · page 656 / 782
This path introduces the physics of soft materials, covering polymers, colloids, liquid crystals, and gels. It builds from statistical mechanics and thermodynamics to explore structure, dynamics, and phase behavior, emphasizing the universal principles governing these systems.
This advanced learning path covers the physics of spin-based electronics, focusing on spin transport, magnetoresistance, and spin-transfer torque. It builds from foundational concepts in quantum mechanics and solid-state physics through magnetism and transport, culminating in an understanding of spintronic devices.
This learning path guides advanced undergraduates through the physics of superconductivity, starting from the essential electrodynamics and quantum mechanics, then covering the London and Ginzburg-Landau theories, vortex lattices, the microscopic BCS theory, and culminating in high-temperature superconductors and unconventional pairing mechanisms. It emphasizes the conceptual and mathematical connections between these areas for a deep, systematic understanding.
This path provides a systematic introduction to quantum phase transitions, starting from classical statistical mechanics and mean-field theory, then moving to quantum criticality, order parameters, and universality. It emphasizes the conceptual framework and modern examples in condensed matter physics.
This advanced undergraduate learning path systematically develops the conceptual and mathematical tools needed to understand topological phases of matter, focusing on topological insulators, Chern insulators, and Weyl semimetals. Beginning with quantum mechanics and solid-state physics, the path progresses through band theory, topology in physics, and the modern classification of topological phases, culminating in concrete models and experimental signatures.
A comprehensive learning path for advanced undergraduates to understand systems with strong electron correlations. Starting from single-particle quantum mechanics and second quantization, the path builds up to the Hubbard model, Mott insulators, and heavy fermion systems, emphasizing many-body effects and advanced theoretical methods.
A comprehensive learning path for advanced undergraduates in physics, covering the foundations of density functional theory (DFT) from the Hohenberg-Kohn theorems through the Kohn-Sham scheme and exchange-correlation functionals, with necessary prerequisites in quantum mechanics and many-body physics.
This advanced path guides learners through the quantum many-body physics of interacting electron systems. It starts with essential single-particle quantum mechanics and second quantization, progresses through mean-field and beyond-mean-field approaches (Hartree-Fock, screening, exchange-correlation), and culminates in quasiparticle concepts central to Landau Fermi liquid theory and Green's function methods. The path is designed for advanced undergraduates in condensed matter physics.
This learning path guides high school students through the fundamental concepts of electrical and thermal transport in solids, starting from the free electron model and progressing to advanced topics like the Hall effect, thermoelectric effects, and quantum transport. It emphasizes the physical principles and mathematical relationships that govern transport phenomena, building a solid foundation for further study in condensed matter physics.
A systematic learning path for high school students to understand crystal defects, covering crystal structure basics, point defects, dislocations, grain boundaries, and their effects on material properties.