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Condensed Matter & Materials Physics

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Giant Magnetoresistance (GMR) Condensed Matter & Materials Physics % (Resistance Change Ratio) A quantum spintronic phenomenon where electrical resistance drops dramatically when adjacent ferromagnetic layers align magnetically parallel in an external field. GMR = (R_AP - R_P) / R_P × 100% Graphene Condensed Matter & Materials Physics v_F ≈ 10⁶ m/s (Fermi Velocity) A single two-dimensional layer of carbon atoms bound in a hexagonal honeycomb crystal lattice. E(k) = ± ℏ v_F |k| (Dirac Cone Dispersion)