A supercurrent that flows without voltage across a superconducting junction due to quantum tunneling.The Josephson current is a supercurrent that flows between two superconductors separated by a thin insulating barrier (a Josephson junction) without any applied voltage. This phenomenon arises from quantum tunneling of Cooper pairs — bound pairs of electrons that carry supercurrents — across the barrier. It is the fundamental building block of superconducting electronics, including the most sensitive magnetometers in existence.
Brian Josephson predicted the effect in 1962 while a graduate student at Cambridge, based on theoretical considerations of superconductivity. His prediction was experimentally confirmed within a year by Philip Anderson and John Rowell at Bell Labs, and Josephson received the Nobel Prize in Physics in 1973.
In a superconductor, electrons form Cooper pairs that condense into a single quantum state described by a macroscopic wavefunction. When two superconductors are brought close together with a thin barrier, the wavefunctions overlap, allowing Cooper pairs to tunnel through. The current depends on the phase difference between the two wavefunctions: I = I_c sin(φ), where I_c is the critical current. If a voltage V is applied, the phase evolves in time, producing an alternating current with frequency 2eV/h — the AC Josephson effect. Without voltage, a steady DC current flows, which is the Josephson current.
Josephson junctions are used in superconducting quantum interference devices (SQUIDs) for measuring tiny magnetic fields, in voltage standards that define the volt, and as qubits in superconducting quantum computers.
The frequency of the AC Josephson effect is exactly 483.6 GHz per millivolt, a relation so precise that it is now used to define the international standard for voltage.

























