Condensed Matter Physics
The largest subfield in physics — from Cooper pairs to topological Weyl nodes. Search the latest papers from Bell Labs to MIT, query open datasets, model resistivity curves, and explore the landmark papers that shaped modern condensed matter.
Below Tc, electrons pair into Cooper pairs and condense into a macroscopic quantum state with zero resistivity and the Meissner effect. Conventional (BCS) superconductors are understood; high-Tc cuprates and nickelates remain open problems after 40 years.
Topology classifies phases of matter by global properties of their quantum wavefunctions — not local order parameters. Topological insulators, Weyl semimetals, and Chern insulators host protected surface states immune to disorder. The bulk-boundary correspondence is the central theorem.
When electron-electron Coulomb repulsion rivals or exceeds the kinetic energy, perturbation theory breaks down. Mott insulators, heavy fermions, frustrated magnets, and quantum spin liquids emerge — phases with no Landau quasiparticles and often no order parameter description at all.
In a strong perpendicular magnetic field a 2D electron gas forms discrete Landau levels. At integer filling ν = n the Hall resistance is quantized to h/ne² — a topological invariant (Chern number). At fractional filling, Coulomb interactions produce composite fermions with fractional charge and anyonic statistics.
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