physics

Superconductivity & Zero Resistance

The quantum phenomenon of zero electrical resistance below a critical temperature — explore Cooper pair formation, the Meissner effect, phase diagrams, Josephson junctions, and Abrikosov vortex lattices in type-II superconductors.

superconductivityCooper pairsMeissner effectBCS theoryJosephson junctionvortex latticecondensed matter

Superconductivity is a macroscopic quantum state in which certain materials exhibit exactly zero electrical resistance and expel magnetic fields when cooled below a critical temperature. Discovered by Heike Kamerlingh Onnes in 1911 in mercury at 4.2 K, it remained one of the deepest puzzles in physics until Bardeen, Cooper, and Schrieffer explained it in 1957 through electron pairing mediated by lattice vibrations.

These simulations let you visualize Cooper pair condensation, watch magnetic flux get expelled from a superconductor, map the critical-field phase boundary, explore Josephson tunneling across weak links, and build Abrikosov vortex lattices — all with interactive parameter controls grounded in real condensed-matter physics.

5 interactive simulations

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BCS Theory: Cooper Pair Formation & Energy Gap

Simulate Cooper pair condensation and the superconducting energy gap as a function of temperature and coupling strength

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Critical Field: Hc vs Temperature Phase Diagram

Explore the superconducting phase diagram — critical magnetic field as a function of temperature for type-I superconductors

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Josephson Junction & SQUID

Simulate the DC and AC Josephson effects — supercurrent tunneling across a weak link and SQUID flux sensitivity

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Meissner Effect: Magnetic Flux Expulsion

Visualize how a superconductor expels magnetic flux below Tc — the Meissner effect with London penetration depth

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Type-II Vortex: Abrikosov Vortex Lattice

Visualize the Abrikosov vortex lattice in type-II superconductors — flux quantization, vortex interactions, and lattice melting