
Superconducting flux quantum, h/(2e), the fundamental unit of magnetic flux in a superconductorThe magnetic flux quantum is the smallest possible unit of magnetic flux that can exist inside a superconductor. It is defined as h/(2e), where h is Planck's constant and e is the elementary charge. This quantization arises because the superconducting state is described by a macroscopic quantum wavefunction, and the flux through any closed loop must be an integer multiple of this fundamental value.
The concept was predicted by Fritz London in 1948, and the precise value h/(2e) was confirmed experimentally in 1961 by Deaver and Fairbank, and independently by Doll and Näbauer.
In a superconductor, electrons pair up into Cooper pairs that share a single quantum state. The wavefunction of these pairs must be single-valued around any closed loop, which forces the magnetic flux threading the loop to be quantized in units of h/(2e). This is analogous to how the angular momentum of an electron in an atom is quantized, but here it applies to the magnetic field trapped in a superconducting ring or vortex.
It is the basis for superconducting quantum interference devices (SQUIDs), which are extremely sensitive magnetometers used in medical imaging (MEG) and geological surveys.
The magnetic flux quantum is so small that the Earth's magnetic field would thread about 2×10^7 flux quanta through a typical superconducting ring of 1 cm² area.
| \Delta Q | variable | Accumulated charge change in the superconductor — electric charge coulomb |
| \Delta \Phi | variable | Change in magnetic flux through the superconducting loop — magnetic flux weber |
| \nu | variable | Filling factor (integer or fractional) of the quantum Hall state — dimensionless |
| e | constant | Magnitude of the electric charge of a single electron or proton — elementary charge = 1.602176634e-19 coulomb |
| \Phi_0 | constant | Superconducting flux quantum, h/(2e), the fundamental unit of magnetic flux in a superconductor — magnetic flux quantum = 2.067833848e-15 weber |








