PDF notes 8 pages · 3 PDFs
Topology in condensed-matter physics
A consolidated guide to topological phases, topological defects, and Landau theory of phase transitions.
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Technical Notes
Derivations, reference sheets, slide decks, and compact explanations from my work in physics.
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Talk slides 57 slides Low-rank hypothesis of complex systems A 57-slide introduction to dimensional reduction and low-rank structure in complex networks and ecosystems. Open the resourceAll technical notes
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Spontaneous symmetry breaking
Notes on order parameters, Goldstone modes, dimensionality, and broken symmetry across statistical mechanics and field theory.
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Floquet theory
My working notes on periodically driven quantum systems and Floquet dynamics.
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Cahn–Hilliard dynamics
A short derivation of conserved phase-separation dynamics, linear instability, coarsening, and the scaling picture.
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Topics covered
statistical mechanics phase transitions soft matter condensed matter complex systems