The Josephson effect is the phenomenon where a supercurrent flows between two superconductors separated by a thin insulating barrier.In 1962, the British physicist Brian Josephson, then a graduate student, theoretically predicted that a current would flow through a superconductor–insulator–superconductor junction even at zero voltage. The stationary effect: current I = I_c sin φ, where I_c is the critical current, φ is the phase difference of the order parameters. The non-stationary effect: at a constant voltage V, the phase changes at a rate dφ/dt = 2eV/ħ, which gives an alternating current with a frequency of 483.6 GHz per millivolt. This is a direct manifestation of quantum coherence of a macroscopic superconducting state.
In 1962, Brian Josephson derived his equations, drawing on the Bardeen–Cooper–Schrieffer theory of superconductivity and the concept of Cooper pairs. Initially, the scientific community was skeptical of the prediction, but in 1963, Anderson and Rowell experimentally confirmed the existence of Josephson current. For this discovery, Josephson received the Nobel Prize in 1973, sharing it with Leo Esaki for the tunnel diode and I. Giaever for furthering the understanding of superconducting contacts. Later, Josephson electronics was developed.
The effect underlies SQUID magnetometers with record sensitivity, quantum voltage standards, single-photon detectors, and superconducting qubits for quantum computing. Limits: temperature below the superconductor's critical temperature, weak magnetic fields (above critical destroys superconductivity), currents below the critical current. Josephson generators operate in the high-frequency regime, up to the terahertz range.
Ultra-sensitive magnetometers (SQUIDs) based on the Josephson effect map magnetic fields of the brain, and the volt standard is defined via Josephson frequencies.
Using the Josephson effect, scientists have built volt standards accurate to 10⁻¹⁰, linking electrical voltage exclusively to the fundamental constants e and h.
| J_0 | variable | Bare superfluid stiffness (phase stiffness) — superfluid stiffness joule |
| ρ_s | variable | Superfluid mass density — superfluid density kilogram per cubic metre |
| m | variable | Effective mass of the superfluid particles (e.g., helium atom mass) — mass kilogram |




















